Solve for x
x=-\frac{y}{2}+5000
Solve for y
y=10000-2x
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1.5x+2y+25000+2.5x=45000
Use the distributive property to multiply 2.5 by 10000+x.
4x+2y+25000=45000
Combine 1.5x and 2.5x to get 4x.
4x+25000=45000-2y
Subtract 2y from both sides.
4x=45000-2y-25000
Subtract 25000 from both sides.
4x=20000-2y
Subtract 25000 from 45000 to get 20000.
\frac{4x}{4}=\frac{20000-2y}{4}
Divide both sides by 4.
x=\frac{20000-2y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{y}{2}+5000
Divide 20000-2y by 4.
1.5x+2y+25000+2.5x=45000
Use the distributive property to multiply 2.5 by 10000+x.
4x+2y+25000=45000
Combine 1.5x and 2.5x to get 4x.
2y+25000=45000-4x
Subtract 4x from both sides.
2y=45000-4x-25000
Subtract 25000 from both sides.
2y=20000-4x
Subtract 25000 from 45000 to get 20000.
\frac{2y}{2}=\frac{20000-4x}{2}
Divide both sides by 2.
y=\frac{20000-4x}{2}
Dividing by 2 undoes the multiplication by 2.
y=10000-2x
Divide 20000-4x by 2.
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