Solve for x
x=-\frac{15y}{2}+95
Solve for y
y=-\frac{2x}{15}+\frac{38}{3}
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2000-20x+150\left(100-y\right)=15100
Use the distributive property to multiply 20 by 100-x.
2000-20x+15000-150y=15100
Use the distributive property to multiply 150 by 100-y.
17000-20x-150y=15100
Add 2000 and 15000 to get 17000.
-20x-150y=15100-17000
Subtract 17000 from both sides.
-20x-150y=-1900
Subtract 17000 from 15100 to get -1900.
-20x=-1900+150y
Add 150y to both sides.
-20x=150y-1900
The equation is in standard form.
\frac{-20x}{-20}=\frac{150y-1900}{-20}
Divide both sides by -20.
x=\frac{150y-1900}{-20}
Dividing by -20 undoes the multiplication by -20.
x=-\frac{15y}{2}+95
Divide -1900+150y by -20.
2000-20x+150\left(100-y\right)=15100
Use the distributive property to multiply 20 by 100-x.
2000-20x+15000-150y=15100
Use the distributive property to multiply 150 by 100-y.
17000-20x-150y=15100
Add 2000 and 15000 to get 17000.
-20x-150y=15100-17000
Subtract 17000 from both sides.
-20x-150y=-1900
Subtract 17000 from 15100 to get -1900.
-150y=-1900+20x
Add 20x to both sides.
-150y=20x-1900
The equation is in standard form.
\frac{-150y}{-150}=\frac{20x-1900}{-150}
Divide both sides by -150.
y=\frac{20x-1900}{-150}
Dividing by -150 undoes the multiplication by -150.
y=-\frac{2x}{15}+\frac{38}{3}
Divide -1900+20x by -150.
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