Answer/Step-by-step explanation:
2x-5y=9
Add 5y to both sides of the equation.
2x=9+5y
Divide each term by 2 and simplify.
Divide each term in 2x=9+5y by 2
[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]
Cancel the common factor of 2.
Divide x by 1.
[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]
[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]
----------------------------------------------------------------------------------------------------------------
3x+4y=2
Add 4y to both sides of the equation
3x=2+4y
Divide each term by 3 and simplify.
Divide each term in 3x=2+4y by 3.
[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]
Cancel the common factor of 3.
Divide x by 1.
[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]
[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]
