Solve for x
x=\frac{z}{2}-\frac{9y}{4}-2
Solve for y
y=\frac{2\left(-2x+z-4\right)}{9}
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4x-2z=-8-9y
Subtract 9y from both sides.
4x=-8-9y+2z
Add 2z to both sides.
4x=-9y+2z-8
The equation is in standard form.
\frac{4x}{4}=\frac{-9y+2z-8}{4}
Divide both sides by 4.
x=\frac{-9y+2z-8}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{z}{2}-\frac{9y}{4}-2
Divide -8-9y+2z by 4.
9y-2z=-8-4x
Subtract 4x from both sides.
9y=-8-4x+2z
Add 2z to both sides.
9y=-4x+2z-8
The equation is in standard form.
\frac{9y}{9}=\frac{-4x+2z-8}{9}
Divide both sides by 9.
y=\frac{-4x+2z-8}{9}
Dividing by 9 undoes the multiplication by 9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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