#### Answer

(4,10)

#### Work Step by Step

You have the equations y=2.5x and 2y+3x=32. Substitute the first equation into the second equation:
2(2.5x)+3x=32. -distribute-
5x+3x=32 -simplify-
8x=32 -divide both sides by 8-
x=4
Plug in x=4 into one of the equations:
2y+3(4)=32 -distribute-
2y+12=32-subtract 12 from both sides-
2y=20 -divide both sides by 2-
y=10
Plug in x=4 and y=10 into one of the equations to check your work:
10=2.5(4)
10=10
The solution is (4,10)