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