Solve for x
x=\frac{5y-z+7}{2}
Solve for y
y=\frac{2x+z-7}{5}
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2x+z=7+5y
Add 5y to both sides.
2x=7+5y-z
Subtract z from both sides.
2x=5y-z+7
The equation is in standard form.
\frac{2x}{2}=\frac{5y-z+7}{2}
Divide both sides by 2.
x=\frac{5y-z+7}{2}
Dividing by 2 undoes the multiplication by 2.
-5y+z=7-2x
Subtract 2x from both sides.
-5y=7-2x-z
Subtract z from both sides.
-5y=7-z-2x
The equation is in standard form.
\frac{-5y}{-5}=\frac{7-z-2x}{-5}
Divide both sides by -5.
y=\frac{7-z-2x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{2x+z-7}{5}
Divide 7-2x-z by -5.
Examples
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y = 3x + 4
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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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