Solve the system of equations
{y = -x + 4
{y = x – 2
what is the solution for the system of equations?
enter your answer in the boxes.

x = 3 and y = 1

Step-by-step explanation:

y = - x + 4 equation 1

y = x - 2 equation 2

Solving the linear equation by substitution method , we have :

substitute equation 2 into equation 1 , that is

x - 2 = - x + 4

Add 2 to both sides , we have

x = -x + 4 + 2

Add x to both sides , we have

2x = 6

divide through by 2

x = 3

Substitute x = 3 into equation 2 to find the value of y , we have

y = x - 2

y = 3 - 2

y = 1

Therefore : x = 3 and y = 1