Solve for x
x=-\frac{2y}{3}
Solve for y
y=-\frac{3x}{2}
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-2x-5y-4x=-y
Subtract 4x from both sides.
-6x-5y=-y
Combine -2x and -4x to get -6x.
-6x=-y+5y
Add 5y to both sides.
-6x=4y
Combine -y and 5y to get 4y.
\frac{-6x}{-6}=\frac{4y}{-6}
Divide both sides by -6.
x=\frac{4y}{-6}
Dividing by -6 undoes the multiplication by -6.
x=-\frac{2y}{3}
Divide 4y by -6.
-2x-5y+y=4x
Add y to both sides.
-2x-4y=4x
Combine -5y and y to get -4y.
-4y=4x+2x
Add 2x to both sides.
-4y=6x
Combine 4x and 2x to get 6x.
\frac{-4y}{-4}=\frac{6x}{-4}
Divide both sides by -4.
y=\frac{6x}{-4}
Dividing by -4 undoes the multiplication by -4.
y=-\frac{3x}{2}
Divide 6x by -4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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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