Solve for x
x=-\frac{y}{8}-\frac{1}{2}
Solve for y
y=-8x-4
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-8x-y-4=0
Swap sides so that all variable terms are on the left hand side.
-8x-4=y
Add y to both sides. Anything plus zero gives itself.
-8x=y+4
Add 4 to both sides.
\frac{-8x}{-8}=\frac{y+4}{-8}
Divide both sides by -8.
x=\frac{y+4}{-8}
Dividing by -8 undoes the multiplication by -8.
x=-\frac{y}{8}-\frac{1}{2}
Divide y+4 by -8.
-8x-y-4=0
Swap sides so that all variable terms are on the left hand side.
-y-4=8x
Add 8x to both sides. Anything plus zero gives itself.
-y=8x+4
Add 4 to both sides.
\frac{-y}{-1}=\frac{8x+4}{-1}
Divide both sides by -1.
y=\frac{8x+4}{-1}
Dividing by -1 undoes the multiplication by -1.
y=-8x-4
Divide 8x+4 by -1.
Examples
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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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