Question

Using substitution or elimination 3y=-1/2x+2. y=-x+9

Answer 1

(x, y) = (10, - 1)

Explanation:

given the 2 equations

3y = -
`(1)/(2)` x + 2 → (1)

y = - x + 9 → (2)

substitute y = - x + 9 into (1)

3(- x + 9) = -
`(1)/(2)` x + 2

- 3x + 27 = -
`(1)/(2)` x + 2

add
`(1)/(2)` x to both sides

-
`(5)/(2)` x + 27 = 2 ( subtract 27 from both sides )

-
`(5)/(2)` x = - 25

multiply both sides by 2 and divide by - 5

x = 10

solution (10, - 1)