Solve for x
x=-\frac{50y}{109}
Solve for y
y=-\frac{109x}{50}
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0.1x-5y-11x=0
Subtract 11x from both sides.
-10.9x-5y=0
Combine 0.1x and -11x to get -10.9x.
-10.9x=5y
Add 5y to both sides. Anything plus zero gives itself.
\frac{-10.9x}{-10.9}=\frac{5y}{-10.9}
Divide both sides of the equation by -10.9, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{5y}{-10.9}
Dividing by -10.9 undoes the multiplication by -10.9.
x=-\frac{50y}{109}
Divide 5y by -10.9 by multiplying 5y by the reciprocal of -10.9.
-5y=11x-0.1x
Subtract 0.1x from both sides.
-5y=10.9x
Combine 11x and -0.1x to get 10.9x.
-5y=\frac{109x}{10}
The equation is in standard form.
\frac{-5y}{-5}=\frac{109x}{-5\times 10}
Divide both sides by -5.
y=\frac{109x}{-5\times 10}
Dividing by -5 undoes the multiplication by -5.
y=-\frac{109x}{50}
Divide \frac{109x}{10} by -5.
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