Solve for x
x=91y-49z
Solve for y
y=\frac{x+49z}{91}
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x-90y+50z=z+y
Swap sides so that all variable terms are on the left hand side.
x+50z=z+y+90y
Add 90y to both sides.
x+50z=z+91y
Combine y and 90y to get 91y.
x=z+91y-50z
Subtract 50z from both sides.
x=-49z+91y
Combine z and -50z to get -49z.
z+y+90y=x+50z
Add 90y to both sides.
z+91y=x+50z
Combine y and 90y to get 91y.
91y=x+50z-z
Subtract z from both sides.
91y=x+49z
Combine 50z and -z to get 49z.
\frac{91y}{91}=\frac{x+49z}{91}
Divide both sides by 91.
y=\frac{x+49z}{91}
Dividing by 91 undoes the multiplication by 91.
y=\frac{x}{91}+\frac{7z}{13}
Divide x+49z by 91.
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