Solve for a
a=\frac{y-15b}{25}
Solve for b
b=\frac{y-25a}{15}
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y=25a+15b
Use the distributive property to multiply 5 by 5a+3b.
25a+15b=y
Swap sides so that all variable terms are on the left hand side.
25a=y-15b
Subtract 15b from both sides.
\frac{25a}{25}=\frac{y-15b}{25}
Divide both sides by 25.
a=\frac{y-15b}{25}
Dividing by 25 undoes the multiplication by 25.
a=\frac{y}{25}-\frac{3b}{5}
Divide y-15b by 25.
y=25a+15b
Use the distributive property to multiply 5 by 5a+3b.
25a+15b=y
Swap sides so that all variable terms are on the left hand side.
15b=y-25a
Subtract 25a from both sides.
\frac{15b}{15}=\frac{y-25a}{15}
Divide both sides by 15.
b=\frac{y-25a}{15}
Dividing by 15 undoes the multiplication by 15.
b=\frac{y}{15}-\frac{5a}{3}
Divide y-25a by 15.
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