Question

Solve for substitution

Answer 1

(3, 1 )

Explanation:

given the system of equations

y =
`(2)/(3)` x - 1 → (1)

y = - x + 4 → (2)

substitute y =
`(2)/(3)` x - 1 into (2)

`(2)/(3)` x - 1 = - x + 4 ( multiply through by 3 to clear the fraction )

2x - 3 = - 3x + 12 ( add 3x to both sides )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

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

substituting into (2)

y = - 3 + 4 = 1

solution is (3, 1 )