Question

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

Answer 1

Answer:

x = $\frac{3+2y}{5y-2}$

Step-by-step explanation:

Given

y = $\frac{2x+3}{5x-2}$ ← 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 = $\frac{3+2y}{5y-2}$