Question

Change of subject x the subject
y=2x+3/5x-2

Answer 1

x =
`(3+2y)/(5y-2)`

Explanation:

Given

y =
`(2x+3)/(5x-2)` ← multiply both sides by (5x - 2)

y(5x - 2) = 2x + 3 ← distribute left side

5xy - 2y = 2x + 3 ( add 2y to both sides )

5xy = 2x + 3 + 2y ( subtract 2x from both sides )

5xy - 2x = 3 + 2y ( factor out x from each term on the left side )

x(5y - 2) = 3 + 2y ← divide both sides by (5y - 2)

x =
`(3+2y)/(5y-2)`