Answer:
[tex]y=9,x=4[/tex]
Step-by-step explanation:
System of equations:
[tex]x+y=13[/tex]
[tex]60x+80y=960[/tex]
_____________
simplify:(isolate x)
[tex]x=[/tex][tex]\frac{4(-y+12)}{3}[/tex]
[tex]x+y=13\\[/tex]
substitute equation for x into second equation:
[tex]\frac{4(-y+12)}{3} +y=13\\[/tex]
simplify:
[tex]\frac{-y+48}{3}=13\\ y=9\\[/tex]
substitute y into equation for x:
[tex]x=4[/tex]
