Solve for x
x=\frac{-y-5z-10}{3}
Solve for y
y=-3x-5z-10
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3x+5z+10=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
3x+10=-y-5z
Subtract 5z from both sides.
3x=-y-5z-10
Subtract 10 from both sides.
\frac{3x}{3}=\frac{-y-5z-10}{3}
Divide both sides by 3.
x=\frac{-y-5z-10}{3}
Dividing by 3 undoes the multiplication by 3.
y+5z+10=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
y+10=-3x-5z
Subtract 5z from both sides.
y=-3x-5z-10
Subtract 10 from both sides.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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