Solve for x
x=\frac{10y+58}{11}
Solve for y
y=\frac{11x}{10}-\frac{29}{5}
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10x+6-10y+x=64
To find the opposite of 10y-x, find the opposite of each term.
11x+6-10y=64
Combine 10x and x to get 11x.
11x-10y=64-6
Subtract 6 from both sides.
11x-10y=58
Subtract 6 from 64 to get 58.
11x=58+10y
Add 10y to both sides.
11x=10y+58
The equation is in standard form.
\frac{11x}{11}=\frac{10y+58}{11}
Divide both sides by 11.
x=\frac{10y+58}{11}
Dividing by 11 undoes the multiplication by 11.
10x+6-10y+x=64
To find the opposite of 10y-x, find the opposite of each term.
11x+6-10y=64
Combine 10x and x to get 11x.
6-10y=64-11x
Subtract 11x from both sides.
-10y=64-11x-6
Subtract 6 from both sides.
-10y=58-11x
Subtract 6 from 64 to get 58.
\frac{-10y}{-10}=\frac{58-11x}{-10}
Divide both sides by -10.
y=\frac{58-11x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{11x}{10}-\frac{29}{5}
Divide 58-11x by -10.
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