use substitution method (y = 2x-10 (2y=x-8

Answers

Answer 1

Answer:

  (4, -2)

Step-by-step explanation:

Use the expression for y given by the first equation to substitute for y in the second equation.

  2(2x -10) = x -8 . . . substitute for y

  4x -20 = x -8 . . . . . eliminate parentheses

  3x = 12 . . . . . . . . add 20-x

  x = 4 . . . . . . . . .divide by 3

  y = 2(4) -10 = -2 . . . substitute for x in the first equation

The solution is (x, y) = (4, -2).

Answer 2

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

We've been given to find out the values of x & y from the two given linear equations by substitution method.

Here we have,

y = 2x - 10 - - - - - (1)

2y = x - 8 - - - - - (2)

As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,

[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]

[tex]:\implies\tt{4x - 20 = x - 8}[/tex]

[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]

[tex]:\implies\tt{3x = 12}[/tex]

[tex]:\implies\tt{x = \frac{12}{3} }[/tex]

[tex]:\implies\tt{x = 4}[/tex]

Placing x = 4 in equation (1) we get,

[tex]:\implies\tt{y = 2x - 10}[/tex]

[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]

[tex]:\implies\tt{y = 8 - 10}[/tex]

[tex]:\implies\tt{y = - 2}[/tex]

The solution of the given system for linear equation is (x,y) = (4,-2)


Related Questions

A scale drawing of AJ’s room shows the length as 5 cm and the width as 8 cm. Using a scale of 1 cm = 10 ft, find the area of the room.

Answers

Answer:

4000 sqft

Step-by-step explanation:

you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft

Which number is greater than 555,621,000? A. 5.0 x 10 B. 6.2 x 10 C. 5.55621 x 10 D. 9.99 x 10

Answers

Answer:

None of these

Step-by-step explanation:

None of these are correct because you would need to multiply 5 x 10 to a certain power. 5.55621 x 10 to the 8th power would do it.

Answer: I believe D is correct

Step-by-step explanation:

a
What is the image of the point (-9, -6) after a rotation of 90° tounterclockwise
about the origin?

Answers

Answer:

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Can someone pls help I’m trying to solve for x

Answers

Answer:

x = 2.3

Step-by-step explanation:

x = 5*(13-12.54) = 2.3

Answer:

127.7

Step-by-step explanation:

you do 12.54 + 13 = 25.54

then 25.54 x 5 = 127.7

3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.

Answers

Answer:

0.75 And 75%

Step-by-step explanation:

If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4

Ferris wheel makes 6 revolutions per ride. It
has a diameter of 45 feet. How far would someone
travel during one ride?

Answers

Answer:

270

Step-by-step explanation:

so u would take 6 and 45 and multiplay

Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?

Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas

Answers

Answer:

  0.4 kg

Step-by-step explanation:

A proportion can be used to find the amount of sugar.

  x/(1.1 L) = (0.1 kg)/(0.275 L)

  x = (1.1)(0.1)/0.275 kg = 0.4 kg

Angela needs 0.4 kg of sugar for her biscuits.

Solve for x.
(x+16)
(4x-5)°
11
7
9
13

Answers

Answer:

4

3

+

5

9

2

8

0

Step-by-step explanation:

State what information is required to know that the triangles are congruent.
-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

[tex] \sf \angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]

Answer: Choice A

Explanation:

The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".

One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.

If cos(θ)= -2/3 and θ lies in quadrant II, find the value of cotθ

Answers

[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]

[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]

Answer:

yysywywyyw7e7eueuuwuwuuwueu3u3

Please quickly do number 12 & 13 I'll give brainliest.

Answers

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180


What is the value of x in AABC?
A. 26
B. 29
C. 32
D. 36

Answers

Answer:

x = 29

Step-by-step explanation:

64°+y°+y° = 180°

64+2y = 180

2y = 116

y = 58

(180°-58°)+2x° = 180

122+2x = 180

2x = 58

x = 29

Dan earns £367 over the course of a five-day week. How much is that per day?

Answers

Divide total by number of days:

367/5 = 73.40 per day

if x + y = 180 and y = 45, then x + 45 = 180 an example of substitution?

Answers

Answer:Yes. This is an example of substitution.Reason:

This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(X+2)(x+6)=0
In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the:

o zero product property
O division property
O transitive property
O multiplication property​

Answers

ANSWER: zero product property

Answer:

Zero-product property.

Step-by-step explanation:

[tex]\text{If}~ ab =0\\\\\text{then}~ a=0~ \text{or}~ b=0[/tex]

the average weight of 6 boys is 40 kg .Two boys weighing 40kg and 20kg left the group.Find the average weight of the remaining four boys​

Answers

the average weight of 4boys 39.6 is Wight

On the highway, a car can travel 21 miles per gallon of gas. If the car travels for 4 hours on the highway at a rate of 65 miles per hour, how many gallons of gas should the car use, to the nearest tenth of a gallon?​

Answers

Answer:

5.36

Step-by-step explanation:

If the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that a car can go 21 miles per gallon of gas on a highway and that the car can travel for 4 hours at a speed of 65 miles per hour.

As a result, the distance traveled by car,

Distance = speed × time

Distance = 65 miles / hr × 4 hr

Distance = 260 miles

The number of gallons of gas the car should consume is determined by dividing the entire distance driven by the per gallon of gas as follows:

= 260 miles / 21 miles per gallon

= 12.38 gallon

The value nearest tenth of a gallon is,

=12.4 gallons

Thus, if the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?

Answers

It costs 40 dollars bcz twhce the number of 20 is 40 its like multiple by 2


I really need help!!

Answers

Answer:

Red: y=4

Green: x=-1

Yellow: x=6

Blue: x=-2

Step-by-step explanation:

The lines are all passing through the Axis, so there is no slope for each line.

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.​

Answers

There are 20 red marbles

Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:

= 1 - 5/9

= 4/9

If there are 45 marbles in total, the number of red marbles will be:

= 4/9 × 45

= 20

Therefore, there are 20 red marbles.

0.25 divided by what eqauls -0.25

Answers

[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]

Answer:

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer

Step-by-step explanation:

The cost of an anti-virus software package is $65 for the first year and $10 for each annual renewal. If the independent variable is the number of annual renewals and the dependent variable is the total amount paid, what is the slope and y-intercept of the graph of the equation representing this situation?

Answers

Answer:

slope $10/renewaly-intercept $65

Step-by-step explanation:

The slope is the cost of a renewal: $10.

The y-intercept is the initial cost: $65.

Find the sum of 4+3x and 5-4x+2x 2

Answers

Answer:

[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]

To find - sum of the given two terms.

[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]

—————————————————

[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]

Here ,

we basically added the like terms together..

like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...

since there's none other term having "" as the coefficient.. so 2x² will be left as it is!

hope helpful~

~ExhaustedZombie

The sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9

How to find sum of expressions

Given:

4+3x

5-4x+2x²

Sum means addition of expressions

(4+3x) + (5-4x+2x²)

= 4 + 3x + 5 - 4x + 2x²

= 2x² + 3x - 4x + 5 + 4

= 2x² + 7x + 9

Therefore, the sum of the expression is 2x² + 7x + 9

Learn more about sum:

https://brainly.com/question/11562149

6 divided by 4 write your answer in a decimal form

Answers

The answer should be 1.5

Answer:

1.5

Step-by-step explanation:

Four goes into six once, then four goes into 20 5 times

Which function represents the following graph? On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4. 5). Y = StartRoot x minus 3 EndRoot 3 y = StartRoot x 3 EndRoot 3 y = RootIndex 3 StartRoot x minus 3 EndRoot 3 y = RootIndex 3 StartRoot x 3 EndRoot 3.

Answers

The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

The points on the graph are given as:

[tex](x,y) = (-3,3)[/tex] --- the inflection point

[tex](x,y) = (0,4.5)[/tex] --- the y-intercept

The function that satisfy the above points is:

[tex]y = \sqrt[3]{x+3} + 3[/tex]

The proof is as follows:

At the inflection point, we have the x value to be -3.

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{-3+3} + 3[/tex]

[tex]y = \sqrt[3]{0} + 3[/tex]

[tex]y = 0+ 3[/tex]

[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3

Also, at the y-intercept, we have the x-value to be 0

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{0+3} + 3[/tex]

[tex]y = \sqrt[3]{3} + 3[/tex]

[tex]y = 1.45+ 3[/tex]

[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0

Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

Read more about graphs and functions at:

https://brainly.com/question/25918641

Answer:

D

Step-by-step explanation:

Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *

Answers

Answer:

10\frac{7}{12}

Step-by-step explanation:

First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.

Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.

Now you are left with \frac{4][12] and \frac{9}{12}.

Add those back to your numbers

16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}

Someone please help me with this question And you can get 20 points

Answers

[tex]\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\[/tex]

A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10

Answers

C) 3:7
hope this is helpful!

SOLVE

x + 3y = -1

y = x - 7





Write the solution below.

Answers

Answer:

x= 5 ........................ .......

Factorise fully 2ab^3+ 8a^2b

Answers


That is the answer :)

The factorization of the given expression is 2ab(b²+4a).

The given expression is 2ab³+8a²b.

What is factorization?

A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.

The given expression can be factorize as follows:

2ab³+8a²b

Here, 2ab is the common factor from both the terms, Take it out side the bracket.

That is, 2ab(b²+4a)

Therefore, the factorization of the given expression is 2ab(b²+4a).

To learn more about the factorization visit:

https://brainly.com/question/20293447.

#SPJ2

Other Questions
What is the most precise and accurate definition of perpendicular lines?A. two lines in a plane with opposite reciprocal slopesB. two lines in a plane with opposite slopesC. two lines in a plane with reciprocal slopesD. two lines in a plane with the same slope Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book Answer all questions pa help thank yoeee In the opposite figure : The perimeter of triangle ABC = ..... cm. (a)123.5 (b) 375(c) 98.5(d) 108.5 What is the value of the expression when a=3 and b=4 Read the excerpt from "The Gift of the Magi" by O. Henry. What is the tone of the opening passage?One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies. Pennies saved one and two at a time by bulldozing the grocer and the vegetable man and the butcher until one's cheeks burned with the silent imputation of parsimony that such close dealing implied. Three times Della counted it. One dollar and eighty- seven cents. And the next day would be Christmas.There was clearly nothing to do but flop down on the shabby little couch and howl. So Della did it. Which instigates the moral reflection that life is made up of sobs, sniffles, and smiles, with sniffles predominating.While the mistress of the home is gradually subsiding from the first stage to the second, take a look at the home. A furnished flat at $8 per week. It did not exactly beggar description, but it certainly had that word on the lookout for the mendicancy squad.In the vestibule below was a letter-box into which no letter would go, and an electric button from which no mortal finger could coax a ring. Also appertaining thereunto was a card bearing the name "Mr. James Dillingham Young. "The "Dillingham" had been flung to the breeze during a former period of prosperity when its possessor was being paid $30 per week. Now, when the income was shrunk to $20, though, they were thinking seriously of contracting to a modest and unassuming D. But whenever Mr. James Dillingham Young came home and reached his flat above he was called "Jim" and greatly hugged by Mrs. James Dillingham Young, already introduced to you as Della. Which is all very good.A. dissatisfiedB. humorousC. sarcasticD. unhappyPLZ ONLY ANSWER IF 100% CORRECT Sean is travelling. He has a flight of 2 hours 30 minutes, a stopover of 45 minutes and then another flight of 4.75 hours. What is his total travel time? Give your answer in hours and minutes. Which of the following statements are true about implementing corporate change?. what is the recriprocal of 8 make lists of Showing the effects of drug addiction on on individual family and Society.long Answer What is 180 in./sec in m/min? I have a heart that never beats, I have a home, but I never sleep. I can take a man's house and build another's, And I love to play games with my many brothers. I am a king among fools. Who am I?This is a riddle. Answer it correctly and I'll make you Brainliest. Which agency keeps consumers safe when they open a credit card account or take out a home loan? SEC- U. S. Securities and Exchange Commission FDA- Food and Drug Administration OSHA- Occupational Safety and Health Administration CFPB- Consumer Financial Protection Bureau. A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = ""16t2 48t 190. Approximately when will the projectile hit the ground? 1. 5 seconds 3. 2 seconds 5. 3 seconds 6. 2 seconds. Does any one mind helping me on this question I have struggle solving it i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actual stock car? When Elements neutral atom contains 5 neutrons 4 electrons and 4 protons USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION Lysozyme is an enzyme found in animals that helps prevent bacterial infections in eyes. Which statement best explains how lysozyme functions? It acts as a lubricant to wash bacteria out of the eye.It acts as a lubricant to wash bacteria out of the eye.It acts as a catalyst to break down harmful bacteria.It acts as a catalyst to break down harmful bacteria.It acts as a protective layer to prevent bacteria from entering the eye.It acts as a protective layer to prevent bacteria from entering the eye.It acts as a trap to catch bacteria and restrict their movement.