Solve for x
x=\frac{z-2y}{4}
Solve for y
y=\frac{z-4x}{2}
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4x+2y=z
Swap sides so that all variable terms are on the left hand side.
4x=z-2y
Subtract 2y from both sides.
\frac{4x}{4}=\frac{z-2y}{4}
Divide both sides by 4.
x=\frac{z-2y}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{z}{4}-\frac{y}{2}
Divide z-2y by 4.
4x+2y=z
Swap sides so that all variable terms are on the left hand side.
2y=z-4x
Subtract 4x from both sides.
\frac{2y}{2}=\frac{z-4x}{2}
Divide both sides by 2.
y=\frac{z-4x}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{z}{2}-2x
Divide z-4x by 2.
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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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