Question

Make x the subject:

y = 6x-7 / 3x-8

Answer 1

I. x=y-7

6

Explanation:

y=6x-7

6x-7=y

6x=y-7

6x=y-7

6. 6

x=y-7

6

Answer 2

x =
`(8y-7)/(3y-6)`

Explanation:

Given

y =
`(6x-7)/(3x-8)` ( multiply both sides by 3x - 8 )

y(3x - 8) = 6x - 7 ← distribute left side

3xy - 8y = 6x - 7 ( subtract 6x from both sides )

3xy - 6x - 8y = - 7 ( add 8y to both sides )

3xy - 6x = 8y - 7 ← factor out x from each term on the left

x(3y - 6) = 8y - 7 ← divide both sides by (3y - 6)

x =
`(8y-7)/(3y-6)`