Question

What is the solution for the system of equations? y=−x+4 y= x−2

Answer 1

Answer:

(3, 1 )

Step-by-step explanation:

Given the 2 equations

y = - x + 4 → (1)

y = x - 2 → (2)

Substitute y = x - 2 into (1)

x - 2 = - x + 4 ( add x to both sides )

2x - 2 = 4 ( add 2 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

y = 3 - 2 = 1

solution is (3, 1 )