Solve for x
x=-\frac{y}{3}
Solve for y
y=-3x
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x-y-4x=0
Subtract 4x from both sides.
-3x-y=0
Combine x and -4x to get -3x.
-3x=y
Add y to both sides. Anything plus zero gives itself.
\frac{-3x}{-3}=\frac{y}{-3}
Divide both sides by -3.
x=\frac{y}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\frac{y}{3}
Divide y by -3.
-y=4x-x
Subtract x from both sides.
-y=3x
Combine 4x and -x to get 3x.
\frac{-y}{-1}=\frac{3x}{-1}
Divide both sides by -1.
y=\frac{3x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=-3x
Divide 3x by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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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