Solve for x
x=\frac{-9y-9}{5}
Solve for y
y=-\frac{5x}{9}-1
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6x+5+9y-x=-4
Subtract x from both sides.
5x+5+9y=-4
Combine 6x and -x to get 5x.
5x+9y=-4-5
Subtract 5 from both sides.
5x+9y=-9
Subtract 5 from -4 to get -9.
5x=-9-9y
Subtract 9y from both sides.
5x=-9y-9
The equation is in standard form.
\frac{5x}{5}=\frac{-9y-9}{5}
Divide both sides by 5.
x=\frac{-9y-9}{5}
Dividing by 5 undoes the multiplication by 5.
5+9y=x-4-6x
Subtract 6x from both sides.
5+9y=-5x-4
Combine x and -6x to get -5x.
9y=-5x-4-5
Subtract 5 from both sides.
9y=-5x-9
Subtract 5 from -4 to get -9.
\frac{9y}{9}=\frac{-5x-9}{9}
Divide both sides by 9.
y=\frac{-5x-9}{9}
Dividing by 9 undoes the multiplication by 9.
y=-\frac{5x}{9}-1
Divide -5x-9 by 9.
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}