Solve for x
x=\frac{10y+z}{8}
Solve for y
y=\frac{4x}{5}-\frac{z}{10}
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8x-10y=z
Swap sides so that all variable terms are on the left hand side.
8x=z+10y
Add 10y to both sides.
8x=10y+z
The equation is in standard form.
\frac{8x}{8}=\frac{10y+z}{8}
Divide both sides by 8.
x=\frac{10y+z}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{z}{8}+\frac{5y}{4}
Divide z+10y by 8.
8x-10y=z
Swap sides so that all variable terms are on the left hand side.
-10y=z-8x
Subtract 8x from both sides.
\frac{-10y}{-10}=\frac{z-8x}{-10}
Divide both sides by -10.
y=\frac{z-8x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{4x}{5}-\frac{z}{10}
Divide z-8x by -10.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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