Solve for x
x=\frac{1782y}{1915}
Solve for y
y=\frac{1915x}{1782}
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383\times 15x=297\times 18y
Multiply both sides of the equation by 113751, the least common multiple of 297,383.
5745x=297\times 18y
Multiply 383 and 15 to get 5745.
5745x=5346y
Multiply 297 and 18 to get 5346.
\frac{5745x}{5745}=\frac{5346y}{5745}
Divide both sides by 5745.
x=\frac{5346y}{5745}
Dividing by 5745 undoes the multiplication by 5745.
x=\frac{1782y}{1915}
Divide 5346y by 5745.
383\times 15x=297\times 18y
Multiply both sides of the equation by 113751, the least common multiple of 297,383.
5745x=297\times 18y
Multiply 383 and 15 to get 5745.
5745x=5346y
Multiply 297 and 18 to get 5346.
5346y=5745x
Swap sides so that all variable terms are on the left hand side.
\frac{5346y}{5346}=\frac{5745x}{5346}
Divide both sides by 5346.
y=\frac{5745x}{5346}
Dividing by 5346 undoes the multiplication by 5346.
y=\frac{1915x}{1782}
Divide 5745x by 5346.
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