Solve for x
x=\frac{16y}{5}+5
Solve for y
y=\frac{5\left(x-5\right)}{16}
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y=\frac{5}{16}x-\frac{25}{16}
Use the distributive property to multiply \frac{5}{16} by x-5.
\frac{5}{16}x-\frac{25}{16}=y
Swap sides so that all variable terms are on the left hand side.
\frac{5}{16}x=y+\frac{25}{16}
Add \frac{25}{16} to both sides.
\frac{\frac{5}{16}x}{\frac{5}{16}}=\frac{y+\frac{25}{16}}{\frac{5}{16}}
Divide both sides of the equation by \frac{5}{16}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+\frac{25}{16}}{\frac{5}{16}}
Dividing by \frac{5}{16} undoes the multiplication by \frac{5}{16}.
x=\frac{16y}{5}+5
Divide y+\frac{25}{16} by \frac{5}{16} by multiplying y+\frac{25}{16} by the reciprocal of \frac{5}{16}.
y=\frac{5}{16}x-\frac{25}{16}
Use the distributive property to multiply \frac{5}{16} by x-5.
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