Solve for x
x=\frac{y-1200}{5}
Solve for y
y=5\left(x+240\right)
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y=25x+\left(70-50\right)\left(60-x\right)
Subtract 80 from 105 to get 25.
y=25x+20\left(60-x\right)
Subtract 50 from 70 to get 20.
y=25x+1200-20x
Use the distributive property to multiply 20 by 60-x.
y=5x+1200
Combine 25x and -20x to get 5x.
5x+1200=y
Swap sides so that all variable terms are on the left hand side.
5x=y-1200
Subtract 1200 from both sides.
\frac{5x}{5}=\frac{y-1200}{5}
Divide both sides by 5.
x=\frac{y-1200}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{y}{5}-240
Divide y-1200 by 5.
y=25x+\left(70-50\right)\left(60-x\right)
Subtract 80 from 105 to get 25.
y=25x+20\left(60-x\right)
Subtract 50 from 70 to get 20.
y=25x+1200-20x
Use the distributive property to multiply 20 by 60-x.
y=5x+1200
Combine 25x and -20x to get 5x.
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