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50x+25y-5x=0
Subtract 5x from both sides.
45x+25y=0
Combine 50x and -5x to get 45x.
45x=-25y
Subtract 25y from both sides. Anything subtracted from zero gives its negation.
\frac{45x}{45}=-\frac{25y}{45}
Divide both sides by 45.
x=-\frac{25y}{45}
Dividing by 45 undoes the multiplication by 45.
x=-\frac{5y}{9}
Divide -25y by 45.
25y=5x-50x
Subtract 50x from both sides.
25y=-45x
Combine 5x and -50x to get -45x.
\frac{25y}{25}=-\frac{45x}{25}
Divide both sides by 25.
y=-\frac{45x}{25}
Dividing by 25 undoes the multiplication by 25.
y=-\frac{9x}{5}
Divide -45x by 25.