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7x+5y=\frac{146}{24}
Divide both sides by 24.
7x+5y=\frac{73}{12}
Reduce the fraction \frac{146}{24} to lowest terms by extracting and canceling out 2.
7x=\frac{73}{12}-5y
Subtract 5y from both sides.
\frac{7x}{7}=\frac{\frac{73}{12}-5y}{7}
Divide both sides by 7.
x=\frac{\frac{73}{12}-5y}{7}
Dividing by 7 undoes the multiplication by 7.
x=-\frac{5y}{7}+\frac{73}{84}
Divide \frac{73}{12}-5y by 7.
7x+5y=\frac{146}{24}
Divide both sides by 24.
7x+5y=\frac{73}{12}
Reduce the fraction \frac{146}{24} to lowest terms by extracting and canceling out 2.
5y=\frac{73}{12}-7x
Subtract 7x from both sides.
\frac{5y}{5}=\frac{\frac{73}{12}-7x}{5}
Divide both sides by 5.
y=\frac{\frac{73}{12}-7x}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{7x}{5}+\frac{73}{60}
Divide \frac{73}{12}-7x by 5.