Solve for x
x=-\frac{81y}{10}+9
Solve for y
y=-\frac{10x}{81}+\frac{10}{9}
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9\times 9y=2\times 45-2\times 5x
Multiply both sides of the equation by 18, the least common multiple of 2,9.
81y=2\times 45-2\times 5x
Multiply 9 and 9 to get 81.
81y=90-10x
Do the multiplications.
90-10x=81y
Swap sides so that all variable terms are on the left hand side.
-10x=81y-90
Subtract 90 from both sides.
\frac{-10x}{-10}=\frac{81y-90}{-10}
Divide both sides by -10.
x=\frac{81y-90}{-10}
Dividing by -10 undoes the multiplication by -10.
x=-\frac{81y}{10}+9
Divide 81y-90 by -10.
9\times 9y=2\times 45-2\times 5x
Multiply both sides of the equation by 18, the least common multiple of 2,9.
81y=2\times 45-2\times 5x
Multiply 9 and 9 to get 81.
81y=90-10x
Do the multiplications.
\frac{81y}{81}=\frac{90-10x}{81}
Divide both sides by 81.
y=\frac{90-10x}{81}
Dividing by 81 undoes the multiplication by 81.
y=-\frac{10x}{81}+\frac{10}{9}
Divide 90-10x by 81.
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