Solve for x
x=\frac{3y}{2}-2z+\frac{5}{2}
Solve for y
y=\frac{2x+4z-5}{3}
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2x+4z=5+3y
Add 3y to both sides.
2x=5+3y-4z
Subtract 4z from both sides.
2x=3y-4z+5
The equation is in standard form.
\frac{2x}{2}=\frac{3y-4z+5}{2}
Divide both sides by 2.
x=\frac{3y-4z+5}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{3y}{2}-2z+\frac{5}{2}
Divide 5+3y-4z by 2.
-3y+4z=5-2x
Subtract 2x from both sides.
-3y=5-2x-4z
Subtract 4z from both sides.
-3y=5-4z-2x
The equation is in standard form.
\frac{-3y}{-3}=\frac{5-4z-2x}{-3}
Divide both sides by -3.
y=\frac{5-4z-2x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{2x+4z-5}{3}
Divide 5-2x-4z by -3.
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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