Solve for x
x=\frac{11-8y}{5}
Solve for y
y=\frac{11-5x}{8}
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-5x+12=1+8y
Add 8y to both sides.
-5x=1+8y-12
Subtract 12 from both sides.
-5x=-11+8y
Subtract 12 from 1 to get -11.
-5x=8y-11
The equation is in standard form.
\frac{-5x}{-5}=\frac{8y-11}{-5}
Divide both sides by -5.
x=\frac{8y-11}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{11-8y}{5}
Divide -11+8y by -5.
-8y+12=1+5x
Add 5x to both sides.
-8y=1+5x-12
Subtract 12 from both sides.
-8y=-11+5x
Subtract 12 from 1 to get -11.
-8y=5x-11
The equation is in standard form.
\frac{-8y}{-8}=\frac{5x-11}{-8}
Divide both sides by -8.
y=\frac{5x-11}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{11-5x}{8}
Divide -11+5x by -8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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