Solve for x
x=-\frac{9yz}{2}+1
Solve for y
\left\{\begin{matrix}y=-\frac{2\left(x-1\right)}{9z}\text{, }&z\neq 0\\y\in \mathrm{R}\text{, }&x=1\text{ and }z=0\end{matrix}\right.
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2x+9yz=2
Multiply 3 and 3 to get 9.
2x=2-9yz
Subtract 9yz from both sides.
\frac{2x}{2}=\frac{2-9yz}{2}
Divide both sides by 2.
x=\frac{2-9yz}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{9yz}{2}+1
Divide 2-9yz by 2.
2x+9yz=2
Multiply 3 and 3 to get 9.
9yz=2-2x
Subtract 2x from both sides.
9zy=2-2x
The equation is in standard form.
\frac{9zy}{9z}=\frac{2-2x}{9z}
Divide both sides by 9z.
y=\frac{2-2x}{9z}
Dividing by 9z undoes the multiplication by 9z.
y=\frac{2\left(1-x\right)}{9z}
Divide 2-2x by 9z.
Examples
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Matrix
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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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