Solve for x
x=\frac{25z}{82}-\frac{261y}{41}
Solve for y
y=\frac{25z}{522}-\frac{41x}{261}
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82x=25z-522y
Subtract 522y from both sides.
\frac{82x}{82}=\frac{25z-522y}{82}
Divide both sides by 82.
x=\frac{25z-522y}{82}
Dividing by 82 undoes the multiplication by 82.
x=\frac{25z}{82}-\frac{261y}{41}
Divide 25z-522y by 82.
522y=25z-82x
Subtract 82x from both sides.
\frac{522y}{522}=\frac{25z-82x}{522}
Divide both sides by 522.
y=\frac{25z-82x}{522}
Dividing by 522 undoes the multiplication by 522.
y=\frac{25z}{522}-\frac{41x}{261}
Divide 25z-82x by 522.
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