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\left(-7y\right)x=1
The equation is in standard form.
\frac{\left(-7y\right)x}{-7y}=\frac{1}{-7y}
Divide both sides by -7y.
x=\frac{1}{-7y}
Dividing by -7y undoes the multiplication by -7y.
x=-\frac{1}{7y}
Divide 1 by -7y.
\left(-7x\right)y=1
The equation is in standard form.
\frac{\left(-7x\right)y}{-7x}=\frac{1}{-7x}
Divide both sides by -7x.
y=\frac{1}{-7x}
Dividing by -7x undoes the multiplication by -7x.
y=-\frac{1}{7x}
Divide 1 by -7x.