Solving systems of linear equations algbraically. ​

Solving Systems Of Linear Equations Algbraically.

Answers

Answer 1

Answer:

(3,-6)

Step-by-step explanation:

  [1]    x - 2y = 15

  [2]    2x + 4y = -18

Graphic Representation of the Equations :

   -2y + x = 15        4y + 2x = -18  

 

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 2y + 15

// Plug this in for variable  x  in equation [2]

  [2]    2•(2y+15) + 4y = -18

  [2]    8y = -48

// Solve equation [2] for the variable  y

  [2]    8y = - 48

  [2]    y = - 6

// By now we know this much :

   x = 2y+15

   y = -6

// Use the  y  value to solve for  x

   x = 2(-6)+15 = 3

Solution :

{x,y} = {3,-6}


Related Questions

Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?

Answers

Answer:

1 gallon of gas= 38 miles

Step-by-step explanation:

152÷4= 38.

-3- 2 1/3 please help me out

Answers

Answer:-2/3

-3-2 1/3

which is also

-3 -7/3

which is also

-9/3-7/3

which is

-2/3

The difference is -5 1/3


If the ratio of the length of a rectangle to its width is
9/4 and it’s length is 18 cm, what is the width of the rectangle?

Answers

9514 1404 393

Answer:

  8 cm

Step-by-step explanation:

It is convenient to write the proportion with the unknown (width) on top:

  width/length = 4/9 = w/(18 cm)

Multiplying by 18 cm gives ...

  w = (18 cm)(4/9) = 8 cm

The width of the rectangle is 8 cm.

Answer:

The answer is 8.

Step-by-step explanation:

I did a test with this question on it.

This was the correct answer.

YOUR WELCOME!!! HOPE IT WAS HELPFUL :)

Find the missing angle measure. 50, x, and 100

Answers

Answer:

All angles in a triangle add up to 360

360-100-50 = 210

x = 210

Step-by-step explanation:

Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.

a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.

b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.

Answers

Answer:

(a)

Snow Dome Ski: y = 65 + t

Mt. Winterpark: y = 74 + ½t

(b) Hours greater than 18

Step-by-step explanation:

Given

Snow Dome Ski

Base Snow = 65in

Rate = 1 in per hour

Mt. Winterpark

Base Snow = 74 in

Rate = ½ in per hour

Solving (a): Equation for both

To determine the amount of snow (y) at time (t) for any of the two, we make use of:

y = Base Snow + Rate * t

For Snow Dome Ski:

y = 65 + 1 * t

y = 65 + t

For Mt. Winterpark

y = 74 + ½ * t

y = 74 + ½t

Solving (b): When snow dome will have more snow.

To solve this, we set the following inequality

Snow Dome Ski > Mt. Winterpark

This gives:

65 + t > 74 + ½t

Collect Like Terms

t - ½t > 74 - 65

½t > 9

Multiply both sides by 2

t > 18

This implies that the snow at Snow Dome Ski will be more than the snow at Mt. Winterpark after 18 hours.

After 18 hours means, hours greater than 18 which could be 19, 20, 21.....

graph the relation of the table shown. is the relation a function why or why not? (x,y) (-1,3),(-1,2),(0,-4),(4,2)

Answers

Answer:

It is not a function.

Step-by-step explanation:

This is not a function, because there is more than one y value when x = -1.  A function has one value for each x value.

How far are 2 and -5 apart on the number line?

Answers

It is 7 apart on the number line.


18
=
4
Convert the improper fraction to a mixed number.

Answers

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator by the denominator.

[tex]\frac{18}{4}[/tex]

[tex]4\times4=16[/tex]

[tex]18\div4=4^2[/tex]

[tex]4\frac{2}{4}[/tex]

Reduce:

[tex]2\div2=1[/tex]

[tex]4\div2=2[/tex]

[tex]=4\frac{1}{2}[/tex]

Hope this helps.

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pound, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.

Answers

Answer:

i need a bad bleep

Step-by-step explanation:

addison rae

Which has the greater value? The sum of 89 and 45 or the difference between 89 and 45

Answers

Answer:

The sum of 89 and 45

Step-by-step explanation:

Because the sum of 89 and 45 is 134 and the difference of 89 and 45 is 44. And 134 > 44

Which of these businesses is a partnership? A. the Lin and Ching families' Chinese restaurant B. Karton's furniture-manufacturing business C. Jane Larson's gift shop

Answers

Answer:

A

Step-by-step explanation:

''The Lin and Ching families' Chinese restaurant'' is a partnership businesses.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

In a partnership businesses, two peoples are include.

Hence, By given options,

Option A is true, because it contain two name of peoples

So, The Lin and Ching families' Chinese restaurant is a partnership businesses.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Brothers Inc. issued a 120-day note in the amount of $180,000 on November 1, 2019
with an annual rate of 6%.
What amount of interest has accrued as of December 31, 2019?

Answers

Answer:

Amount of interest =  $1,805 (Approx)

Step-by-step explanation:

Given:

Amount invested = $180,000

Annual rate = 6%

Number of days = 61 days

Find:

Amount of interest

Computation:

Amount of interest = 180,000 x 6% x 61/365

Amount of interest =  $1,805 (Approx)

The left and right page numbers of an open book are two constructive integers whose sum is 427. Find these page numbers

Answers

Answer:

n + (n + 1)= 427

2n + 1 = 427

2n = 427

= 213

Step-by-step explanation:

Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $400. The store has a sale where all bicycles cost
2
5
of the regular price. What is the sale price of the bicycle?

Answers

Answer:

$160

Step-by-step explanation:

2/5 x 400 = 160

u already got the annswer but if you ever need math answers and or explanations asap use the app mathaway:)) its super duper helpful

Help i need the answer now please!

Answers

Answer:

no

Step-by-step explanation:

No , Have Ah Nice Day

what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship

Answers

Answer:

Vertical Angles...............

pls solve this and you get the points i'm a lil high right now

Answers

Answer:

solve for V= pier^/3

solve for R=Square root3Vpie over pie

Step-by-step explanation:

V=multiply 1/3(pier^2)

R= Take root of both sides and solve

Answer:

dividing by a fraction (1/3) is equivalent to multiplying by its inverse (3)

3+%2A+v+%2F+%28pi+%2A+r%5E2%29 = h

Step-by-step explanation:

.
Determine the value of each of the following expressions

a.
25+310


b.
56−13


c.
45×78


d.
67÷34

Answers

a. 515
b. 43
c. 3510
d. 1.9705

Solve
1/2
x + 3 <4x - 7


Answers

Answer:

x>20/7

Step-by-step explanation:

It's simple math, make sure to mark me brainliest!

I need to know for you to Awnser my question


Points and brainlest !!!

Answers

Answer:

id c hot  hf hdjhdw fhwjfehf v;e

Step-by-step explanation:

id c h

Answer:

2/3

Step-by-step explanation:

theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3

The volume of a hemisphere with radius x is V(x) = 2/3 πx3. The volume of a cube with a height of x is shown in the graph. When x = 2, which volume is greater?

The volume of the _________ is greater when x = 2.

(hemisphere or cubic)

Answers

Answer:hemisphere

Step-by-step explanation:

The volume of the hemisphere is greater when x = 2.

The formula for calculating the volume of a hemisphere is expressed as:

[tex]V=\frac{2}{3} \pi x^3[/tex]

Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:

[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]

Next is to get the volume of a cube expressed as:

[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]

Hence the volume of the hemisphere is greater when x = 2.

Learn more here: https://brainly.com/question/14022833

Graph the equation y=-x^2+12x-32y on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

Answers

use desmos ... that’s what i use for math

The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.

How to graph a quadratic function

By fundamental algebra theorem we need at least three no coplanar different points to graph quadratic functions. First, we determine 5 different points, then we pass the curve through the five points and finally we identify the roots and the vertex.

If we know that (- 16, - 480), (- 12, - 320), (- 8, - 192), (- 4, - 96), (0, - 32), then the graph of the quadratic function is shown in the image.

The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.

To learn more on quadratic functions: https://brainly.com/question/5975436

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FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST

Answers

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

Step 1:Choose the lowest common denominator

Find the sum of 1/5 and 7/10

The expression written in equation from with common denominator is______

The sum is___​

Answers

Answer:

-6/8 +5/8 and -1/8

Step-by-step explanation:

just got done doing it.

Help me pleaseeeeeeeeeeeeeeeeee

Answers

Answer:A. 4 13/24Hope this helps!!
The answer is 4 13/24

Help please answer!this is on Zearn.org

Answers

the answer to this is 3/14

Answer:

3/14 this is correct answer

Step by step explanation

3 over 14

it takes Molly 0.25 hours to drive to school. her route is 16 km long. what is Molly's average speed on her drive to school?​

Answers

Answer:

64

Step-by-step explanation:

16 divided by 0.25 gives you 64 .... welcome

Answer:

64 km/h

I answered it correctly on a mid term

Which ordered pair is a solution to the equation below? 3x + 2y = 10
Question 1 options:

(4, 0)

(6, -4)

(-1, 4)

Answers

Answer:

(6,-4)

Step-by-step explanation:

I have tried replacing each option with x, y in the equation.

Let's replace (6, -4) with x and y

3x+2y=10

3(6)+2(-4)=10

3(6)= 18 2(-4)= -8

18+(-8)=10

in other words:

18-8=10

The statement is true, so the correct answer is:

(6, -4)

What’s the unit rate for Tegan?

Answers

Answer:

The unit rate is 16

The unit rate is 16 I think

Which algebraic expression represents this phrase? the product of 40 and the distance to the finish line A. 40•d B.
[tex] \frac{40}{d} [/tex]
C. 40 - d D. 40 + d​

Answers

Answer:

A 40•d

Step-by-step explanation:

The product of 40 and the distance (d)

40•d

B is division

C is subtraction

D is addition

The product of two numbers is multiplication, so the answer must be A

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