Solve for a
a=-\frac{5b}{14}
Solve for b
b=-\frac{14a}{5}
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a=5b+15a
Multiply both sides of the equation by 5.
a-15a=5b
Subtract 15a from both sides.
-14a=5b
Combine a and -15a to get -14a.
\frac{-14a}{-14}=\frac{5b}{-14}
Divide both sides by -14.
a=\frac{5b}{-14}
Dividing by -14 undoes the multiplication by -14.
a=-\frac{5b}{14}
Divide 5b by -14.
a=5b+15a
Multiply both sides of the equation by 5.
5b+15a=a
Swap sides so that all variable terms are on the left hand side.
5b=a-15a
Subtract 15a from both sides.
5b=-14a
Combine a and -15a to get -14a.
\frac{5b}{5}=-\frac{14a}{5}
Divide both sides by 5.
b=-\frac{14a}{5}
Dividing by 5 undoes the multiplication by 5.
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