y = x - 2 and y=-2x +7

Answers

Answer 1

Answer:

x = 3 , y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3 , y = 1

Answer 2

[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]

[tex]\hrulefill[/tex]

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:

[tex]-2x+7=x-2[/tex]

Add [tex]2x[/tex] to both sides of the new equation:

[tex]7=3x-2[/tex]

Now add [tex]2[/tex] to both sides of the equation:

[tex]9=3x[/tex]

Divide both sides by [tex]3[/tex]:

[tex]\boxed{3}=x[/tex]

Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:

[tex]y=3-2[/tex]

Simplify using subtraction:

[tex]y=\boxed{1}[/tex]

This means our solution is:

[tex]\large\boxed{(3, 1)}[/tex]


Related Questions

6+7m<6m or 3m-7<5+6m

Answers

Step-by-step explanation:

6+7m<6m or 3m-7<5+6m

6<7m+6m or 3m-6m<5+7

6<13m or -3m<13

m<13/6 or m<13/-3

m<2.16 or m<-4.333

m<2.2 or m<-4.34

help me plzzzzz need help

Answers

Answer:

D.

15/20, 0.75

Hope this helps! :)

When Mya looked out at the store's parking lot, she noticed that for every 4 cars, there were 6 trucks. If there's a total of 220 vehicles in the parking lot, how many of them are cars, and how many of them are trucks?

Answers

Answer:

88 cars132 trucks

Step-by-step explanation:

This is a ratio problem, the ratio of  cars to trucks

for every 4 cars, there are 6 trucks

represented as a ratio we have 4:6

1. how many of them are cars

applying the part to whole strategy we have

4+6 = 10

let cars be x

[tex]\frac{4}{10}= \frac{x}{220} \\\\x= \frac{220*4}{10} \\\\x= 880/10\\\\x= 88 cars[/tex]

2.  how many of them are trucks?

let trucks be y

[tex]\frac{6}{10}= \frac{y}{220} \\\\x= \frac{220*6}{10} \\\\y= 1320/10 \\\\y= 132 trucks[/tex]

30 POINTS PLEASE HELP THIS IS DUE TMRRRR

Jane and Tony were given the following expression: -2 (3x - y)^2. Jane translated it to say" the product of -2 and the difference
between three times a number and a number squared". Tony translated it to say "-2 times the difference of three times a number and the
square of a different number".
1. Whose translation is correct?

Answers

Answer:

I think Tony would be right, I THINK!!

i think tony is corrected because jane said “product of -2” which means answer to a multiple problem

help me plz if u get it correct i will mark

Answers

Answer:

i wish i could

Step-by-step explanation:

Answer:

32+(6w)

Step-by-step explanation:

add 32 that he already recorded plus 6 times w for however many more weeks he records for

compare 0.8 and 7/10

Answers

Answer:

O.8 is greater than 7/10

Step-by-step explanation:

0.8 is in the tenths Place So you know that equals 80 ones Out of one hundred. So you have 80/100 if you divide 80 and 100 by ten it reduces to 8/10. You know that 8/10 is greater than 7/10. Hope this helped .

Could somebody help me with number 1 through 4

Answers

The attached photo is the distance formula and I will try to explain how to do the first problem the best I can.
First, your points will be (-5,0) and (-4,5). Those are (x,y).
You plug -4 into the first x place and -5 into the second x place in the formula. You plug 5 into the first y place and the 0 into the second y place.
After doing the math within the radical you should end up with either 1^2 + 5^2 or 1 + 25.
I would put it into a calculator and you should end up with 5.1 as your answer (rounded)
Let me know if you need anymore help!

Which is the graph of the inequality: y< (1/2x -2)^3

Answers

Step-by-step explanation:

Rearrange the equation so "y" is on the left and everything else on the right. or below the line for a "less than" (y< or y≤).

A solution of salt and water contains 70 grams of water per 140 milliliters of the solution. If 1 mole of water weighs 16 grams, moles of water would be present in 35 milliliters of the solution. [Round off your answer to two decimal places] (4 points)

Answers

Answer:

1.09 moles.

Step-by-step explanation:

There is 70g of water in 140ml of solution.

This means there are 17.5g of water in 35ml of solution. (Divide by 4)

In 17.5g of water, there are 17.5/16 = 1.09 moles of water.

If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain

Answers

Answer:

Always

Step-by-step explanation:

In order for an integer to be even, one of the factors must be 2.  Otherwise, it is odd.

If A is an odd number, it does not have a factor of 2.

If B is an odd number, it also does not have a factor of 2.

Therefore, AB also does not have a factor of 2, so it is always odd.

Solving Absolute Value Equations: Solve 4|x+7|+8=32

Answers

here’s if you need it written out

M is the midpoint of RT. RM = 5x + 9 and MT = 8x - 36. Find x, RM, MT, and RT. = .​

Answers

I hope this helps. If you need more help just message me

The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

What is a System of equations?

simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equations Where RM = 5x + 9 and MT = 8x - 36.

Since,

M is the midpoint of RT

Thus,

RM = MT

5x + 9 = 8x - 36

3x = 45

x = 15

So,

1) RM = 5x + 9

RM = 75 + 9 = 84

2) MT = 8x -36

MT = 120 - 36 = 84

3) RT = RM + MT

RT = 84 +84 = 168

Therefore, The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

Learn more about the System of equations here:

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A 64-fluid-ounce carton of fruit punch costs $1.28. What is the price per cup?

Answers

Answer:

16 cents a cup

Step-by-step explanation:

64 divided by 8=8

1.28 divided by 8=0.16

Pls Help me with ths question​

Answers

Answer:

Step-by-step explanation:

x=√(5+2√6)/(5-2√6)

x²(x-10)²=1

substitute the value of x in the equation

[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=

solve :

(49+20√6)(49-20√6)=1     multiply

1=1 proved

A circle has a radius of 7 inches. What is the area of the circle? Use 3.14 for p.
(Area of a circle = pr2)

Answers

Answer:

The answer is

153.86 sq. inches

Step-by-step explanation:

Area of a circle is given by

A = πr²

where r is the radius of the circle

From the question

r = 7 inches

So the area of the circle is

A = 3.14(7)²

= 3.14 × 49

We have the final answer as

153.86 sq. inches

Hope this helps you

Here, we are given with a circle whose radius = 7 inches, and we are asked to find the area of the circle. Taking value of π = 3.14

We know,

Area of the circle = πr²

Here,

π = pi (An irrational number used for curves)r = radius of the circle

So, let's find the area,

➝ Area of the circle = πr²

➝ Area of the circle = 3.14 × 7²

➝ Area of the circle = 3.14 × 49

➝ Area of the circle = 153.86 inch²

Hence, Area of the circle:

[tex] \huge{ \boxed{ \bf{153.86 \: {inch}^{2} }}}[/tex]

And we are done !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

The expression (y^20) (y^-5)^2 is equivalent to y^n. What is the value of n? n = 27 n = 10 n = -200 n = 17

Answers

Answer:

n = 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

([tex]y^{20}[/tex] ) ([tex](y^{-5}) ^{2}[/tex]

= [tex]y^{20}[/tex] × [tex]y^{-10}[/tex]

= [tex]y^{(20-10)}[/tex]

= [tex]y^{10}[/tex] → in the form [tex]y^{n}[/tex] with n = 10

Answer:

10.

Step-by-step explanation:

I took the test with this question

what is the value of x if segment BC is 2x+4 and line Ac is 24

Answers

Greetings from Brasil

Let us call the distance AB of Y (in the problem nothing is said about this dimension, so lets call of Y).

From the attached drawing we can conclude that:

AB + BC = AC

where

  AB = Y

  BC = 2X + 4

  AC = 24

then

AB + BC = AC

Y + (2X + 4) = 24

X = (20 - Y)/2

In my view this question is incomplete

pleaseeee help!! (click on the pic)

Answers

It would just be 27x

sue withdrew $85 a month from her savings account for 7 months. what was the change in her balance?

Answers

Answer:

-595 was the change in her balance

Step-by-step explanation:

85*7=595

Withdrew=Negative(-)

how do you say 19,034,600 in word form?​

Answers

Answer:

nineteen million thirty four thousand six hundred

I think this is right

Step-by-step explanation:

Answer:

Nineteen million thirty four thousand six hundred

Step-by-step explanation:

Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan? USE NUMBERS ONLY.

Answers

Answer: 60 feets

Step-by-step explanation:

Given the question :

Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan?

Using a scale factor of 1 inch : 12 feet

Wingspan of plastic toy bird = 5 inches

Calculate the actual bird wingspan

(1 inch / 12 feet) = (toy bird wingspan / actual bird wingspan)

( 1 inch / 12 feet) = (5 / actual bird wingspan)

Actual bird wingspan = 5 × 12

Actual bird wingspan = 60 feets

i need help with this duhhh

Answers

Answer:

Step-by-step explanation:

4. (6^10)^-7 is when the exponents should be multiplied

   answer is B

5. (7^3)^-2 = (7^-6)

     1/7^6 = 1/(7x7x7x7x7x7)

answer is A

2. 11^-4/11^8= 1/11^(8+4) = 1/11^12

   answer is A

3. (2^5/3^2)^4= 2^20/3^8

   answer is A

Answer:

the answer is what the other person said lol

Step-by-step explanation:

9.375, 9.75, 9.125 or 9.5 can you help me list each one from greatest to least

Answers

greatest to least:

9.75, 9.5, 9.375, 9.125

can someone please help me with these questions ( show work plz)​

Answers

Answer:

3) Y = -1.5

Step-by-step explanation:

7=-2y+4

We move all terms to the left:

7-(-2y+4)=0

We get rid of parentheses

2y-4+7=0

We add all the numbers together, and all the variables

2y+3=0

We move all terms containing y to the left, all other terms to the right

2y=-3

y=-3/2

y=-1+1/2

10. Write and equivalent expression for the
expression 4-4.

Answers

Answer:

  0

Step-by-step explanation:

There are an infinite number of equivalent expressions. Perhaps the simplest is the value of the expression:

  4 - 4 = 0

The area of max'ss room ,not incleding his closet is 235.675 square feet the area of his closet is 10.45 square feet what area of his room ,including the closet

Answers

Given :

Area of room excluding closet is , [tex]a=235.675\ ft^2[/tex] .

Area of closet is , [tex]b=10.45\ ft^2[/tex] .

To Find :

Area of max's room including the closet .

Solution :

Let , area of max's room including the closet is A .

So , Total area = Area of room excluding closet + Area of closet .

[tex]A=a+b\\\\A=(235.675+10.45)\ ft^2\\\\A=246.125\ ft^2[/tex]

Therefore , area of his room ,including the closet is 246.125 square feet .

Hence , this is the required solution .

A submarine is submerged to a depth
of 650 feet below sea level. It ascends
225 feet and then dives 50 feet.
Write an expression that represents the
new position of the submarine.

Answers

Answer:

-650 + 225 = -425         -425 - -50 = 475 feet

Step-by-step explanation:

Write an algebraic expression for each verbal expression: 1.) The product of 5 and twice a number x, decreased by the product of 3 and that same number. 2.) Twice the sum of a number x, and another number y, increased by the product of the first number squared and 8

Answers

Answer:

1) (5 times 2x) - (3 times 2x)

2) x+y) times 2 + (x*2 times 8)

explanation:

for "times" put a multiplication sign and the astric ( * ) is for the exponent or meaning "to the power of"  :)

The first equation will be formed as:  [tex](5 times 2x) - (3 times 2x)[/tex]

The second equation will be performed as [tex](x + y) times\ 2 + (x*2 \ times 8)[/tex]

What is multiplication?

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however other symbols like the "*" sign are also occasionally used.

1.) The composition of 3 and that identical number, multiplied by 5, lowered by the products of 5, and double that amount will be represented as (5 times 2x) - (3 times 2x)

2.) The product of the square root of the first variable and eight times a quantity x and a quantity will be represented as (x+y) times 2 + (x*2 times 8)

Learn more about multiplication, Here:

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i feel so stupid right now it makes me mad
how do you describe a correlation

Answers

Answer:

Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.

Step-by-step explanation:

f(x) = x – 5x + 2 – 3x + 6
State how many complex and how many zeros the function have?

Answers

I hope that was helpful
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