Solve for x
x=\frac{4y+z-2}{2}
Solve for y
y=\frac{x}{2}-\frac{z}{4}+\frac{1}{2}
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-2x+z=2-4y
Subtract 4y from both sides.
-2x=2-4y-z
Subtract z from both sides.
-2x=2-z-4y
The equation is in standard form.
\frac{-2x}{-2}=\frac{2-z-4y}{-2}
Divide both sides by -2.
x=\frac{2-z-4y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{z}{2}+2y-1
Divide 2-4y-z by -2.
4y+z=2+2x
Add 2x to both sides.
4y=2+2x-z
Subtract z from both sides.
4y=2x-z+2
The equation is in standard form.
\frac{4y}{4}=\frac{2x-z+2}{4}
Divide both sides by 4.
y=\frac{2x-z+2}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{x}{2}-\frac{z}{4}+\frac{1}{2}
Divide 2+2x-z by 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}