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