Answer:
[tex](x,y)=(4,-\frac{3}{2} )[/tex]
Step-by-step explanation:
Solve for x in the equation.
[tex]5x-5=15[/tex]
Add 5 to both sides of the equation
[tex]5x=15+5[/tex]
Add 15 and 5
[tex]5x=20[/tex]
divide each term by 5
[tex]\frac{5x}{5}=\frac{20}{5}[/tex]
Simplify
[tex]x=\frac{20}{5} \\x=4[/tex]
Replace all occurrences of x in 3x+2y=9
[tex]x=4\\3(4)+2y=9[/tex]
[tex]x=4\\12+2y=9[/tex]
Solve for y
[tex]x=4\\12+2y=9[/tex]
Subtract 12 on both sides
[tex]2y=-3[/tex]
Divide both sides by 2
[tex]\frac{2y}{2}=\frac{-3}{2} \\[/tex]
[tex]x=4\\y=-\frac{3}{2}[/tex]
