Solve for x
x=\frac{5y}{18}-\frac{5}{27}
Solve for y
y=\frac{18x}{5}+\frac{2}{3}
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15y=3\times 18x+10
Multiply both sides of the equation by 15, the least common multiple of 15,5.
15y=54x+10
Multiply 3 and 18 to get 54.
54x+10=15y
Swap sides so that all variable terms are on the left hand side.
54x=15y-10
Subtract 10 from both sides.
\frac{54x}{54}=\frac{15y-10}{54}
Divide both sides by 54.
x=\frac{15y-10}{54}
Dividing by 54 undoes the multiplication by 54.
x=\frac{5y}{18}-\frac{5}{27}
Divide 15y-10 by 54.
15y=3\times 18x+10
Multiply both sides of the equation by 15, the least common multiple of 15,5.
15y=54x+10
Multiply 3 and 18 to get 54.
\frac{15y}{15}=\frac{54x+10}{15}
Divide both sides by 15.
y=\frac{54x+10}{15}
Dividing by 15 undoes the multiplication by 15.
y=\frac{18x}{5}+\frac{2}{3}
Divide 54x+10 by 15.
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