\{ 5 x - 2 y = 13
Solve for x
x=\frac{2y+13}{5}
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5x=13+2y
Add 2y to both sides.
5x=2y+13
The equation is in standard form.
\frac{5x}{5}=\frac{2y+13}{5}
Divide both sides by 5.
x=\frac{2y+13}{5}
Dividing by 5 undoes the multiplication by 5.
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