Solve the system y = x - 2 and y = -2x + 7

Solution:

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

We can see that both equations are equal to y

Hence, we can equate them

⇒ x - 2 = -2x + 7

⇒ x + 2x = 7 + 2

⇒ 3x = 9

⇒ x = 3

Put x = 3 in any of the given equations, y = 3 - 2

⇒ y = 1

Therefore, the solution set is (x, y) = (3, 1)

Solve the system y = x - 2 and y = -2x + 7

Summary:

By solving the system y = x - 2 and y = -2x + 7, we get the solution as (3, 1).