Solve for x
x=\frac{z-7y}{2}
Solve for y
y=\frac{z-2x}{7}
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2x+7y=z
Swap sides so that all variable terms are on the left hand side.
2x=z-7y
Subtract 7y from both sides.
\frac{2x}{2}=\frac{z-7y}{2}
Divide both sides by 2.
x=\frac{z-7y}{2}
Dividing by 2 undoes the multiplication by 2.
2x+7y=z
Swap sides so that all variable terms are on the left hand side.
7y=z-2x
Subtract 2x from both sides.
\frac{7y}{7}=\frac{z-2x}{7}
Divide both sides by 7.
y=\frac{z-2x}{7}
Dividing by 7 undoes the multiplication by 7.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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
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Limits
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