Answer:
x = [tex]\frac{4+5y}{y+3}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5
y(x - 5) = 4 - 3x ( distribute left side )
xy - 5y = 4 - 3x ( add 3x to both sides )
xy + 3x - 5y = 4 ( add 5y to both sides )
xy + 3x = 4 + 5y ← factor out x from each term on the left side
x(y + 3) = 4 + 5y ← divide both sides by y + 3
x = [tex]\frac{4+5y}{y+3}[/tex]
