Question

Given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Answer 1

`4 (1)/(9)x` +
`12(1)/(3)` = 0

Explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

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

Therefore...

5x - 4y + 7 = 0

5x - 4(
`-1(1)/(3) + (2)/(9) x`) + 7 = 0

5x +
`5(1)/(3)` -
`(8)/(9) x` + 7 = 0

`4 (1)/(9)x` +
`12(1)/(3)` = 0