Solve for x
x=-\frac{10y}{9}+\frac{1000}{3}
Solve for y
y=-\frac{9x}{10}+300
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18x+\left(120-100\right)y=6000
Subtract 120 from 138 to get 18.
18x+20y=6000
Subtract 100 from 120 to get 20.
18x=6000-20y
Subtract 20y from both sides.
\frac{18x}{18}=\frac{6000-20y}{18}
Divide both sides by 18.
x=\frac{6000-20y}{18}
Dividing by 18 undoes the multiplication by 18.
x=-\frac{10y}{9}+\frac{1000}{3}
Divide 6000-20y by 18.
18x+\left(120-100\right)y=6000
Subtract 120 from 138 to get 18.
18x+20y=6000
Subtract 100 from 120 to get 20.
20y=6000-18x
Subtract 18x from both sides.
\frac{20y}{20}=\frac{6000-18x}{20}
Divide both sides by 20.
y=\frac{6000-18x}{20}
Dividing by 20 undoes the multiplication by 20.
y=-\frac{9x}{10}+300
Divide 6000-18x by 20.
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