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