Solve each system by substitution
2x + y = 8
y= x - 7
i need the coordinates ; ^;

x = 5

y = -2

Explanation:

2x + y = 8

y= x - 7

We need are solving for x, and we know what y is

We need to substitute the y equation for y in the first equation

2x+x-7=8

Step 1: Simplify both sides of the equation.

2x+x−7=8

2x+x+−7=8

(2x+x)+(−7)=8(Combine Like Terms)

3x+−7=8

3x−7=8

Step 2: Add 7 to both sides.

3x−7+7=8+7

3x=15

Step 3: Divide both sides by 3.

3x / 3 = 15 / 3

x = 5

Solve for y

2x + y = 8

2 * 5 + y = 8

Step 1: Simplify both sides of the equation.

(2)(5)+y=8

10+y=8

y+10=8

Step 2: Subtract 10 from both sides.

y+10−10=8−10

y=−2

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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