Solve for x
x=\frac{7y}{4}
Solve for y
y=\frac{4x}{7}
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44x+44y-12x=100y
Subtract 12x from both sides.
32x+44y=100y
Combine 44x and -12x to get 32x.
32x=100y-44y
Subtract 44y from both sides.
32x=56y
Combine 100y and -44y to get 56y.
\frac{32x}{32}=\frac{56y}{32}
Divide both sides by 32.
x=\frac{56y}{32}
Dividing by 32 undoes the multiplication by 32.
x=\frac{7y}{4}
Divide 56y by 32.
44x+44y-100y=12x
Subtract 100y from both sides.
44x-56y=12x
Combine 44y and -100y to get -56y.
-56y=12x-44x
Subtract 44x from both sides.
-56y=-32x
Combine 12x and -44x to get -32x.
\frac{-56y}{-56}=-\frac{32x}{-56}
Divide both sides by -56.
y=-\frac{32x}{-56}
Dividing by -56 undoes the multiplication by -56.
y=\frac{4x}{7}
Divide -32x by -56.
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