Solve for x
x=\frac{2405-15z-5y}{2}
Solve for y
y=-\frac{2x}{5}-3z+481
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2x+15z-2405=-5y
Subtract 5y from both sides. Anything subtracted from zero gives its negation.
2x-2405=-5y-15z
Subtract 15z from both sides.
2x=-5y-15z+2405
Add 2405 to both sides.
2x=2405-15z-5y
The equation is in standard form.
\frac{2x}{2}=\frac{2405-15z-5y}{2}
Divide both sides by 2.
x=\frac{2405-15z-5y}{2}
Dividing by 2 undoes the multiplication by 2.
5y+15z-2405=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
5y-2405=-2x-15z
Subtract 15z from both sides.
5y=-2x-15z+2405
Add 2405 to both sides.
5y=2405-15z-2x
The equation is in standard form.
\frac{5y}{5}=\frac{2405-15z-2x}{5}
Divide both sides by 5.
y=\frac{2405-15z-2x}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{2x}{5}-3z+481
Divide -2x-15z+2405 by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}