Answer:
a. [tex]y=\frac{2x}{x-5}[/tex]
b. [tex]y=\frac{2-4x}{x-3}[/tex]
Step-by-step explanation:
change switch x and y and then solve for y.
a. [tex]x=\frac{5y}{y-2}[/tex]
[tex]x(y-2)=5y[/tex]
[tex]xy-2x=5y[/tex]
[tex]xy-5y=2x[/tex]
[tex]y(x-5)=2x[/tex]
[tex]y=\frac{2x}{x-5}[/tex]
same for b.
b. [tex]x=\frac{3y+2}{y+4}[/tex]
[tex]x(y+4)=3y+2[/tex]
[tex]xy+4x=3y+2[/tex]
[tex]xy-3y=2-4x[/tex]
[tex]y(x-3)=2-4x[/tex]
[tex]y=\frac{2-4x}{x-3}[/tex]
