Solve for x
x=-2y
Solve for y
y=-\frac{x}{2}
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x-y+2x=-7y
Add 2x to both sides.
3x-y=-7y
Combine x and 2x to get 3x.
3x=-7y+y
Add y to both sides.
3x=-6y
Combine -7y and y to get -6y.
\frac{3x}{3}=-\frac{6y}{3}
Divide both sides by 3.
x=-\frac{6y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-2y
Divide -6y by 3.
x-y+7y=-2x
Add 7y to both sides.
x+6y=-2x
Combine -y and 7y to get 6y.
6y=-2x-x
Subtract x from both sides.
6y=-3x
Combine -2x and -x to get -3x.
\frac{6y}{6}=-\frac{3x}{6}
Divide both sides by 6.
y=-\frac{3x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{2}
Divide -3x by 6.
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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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