Solve for x
x=-\frac{3y}{2}-\frac{15z}{8}+\frac{35}{2}
Solve for y
y=-\frac{2x}{3}-\frac{5z}{4}+\frac{35}{3}
Share
Copied to clipboard
8x+15z=140-12y
Subtract 12y from both sides.
8x=140-12y-15z
Subtract 15z from both sides.
8x=140-15z-12y
The equation is in standard form.
\frac{8x}{8}=\frac{140-15z-12y}{8}
Divide both sides by 8.
x=\frac{140-15z-12y}{8}
Dividing by 8 undoes the multiplication by 8.
x=-\frac{3y}{2}-\frac{15z}{8}+\frac{35}{2}
Divide 140-12y-15z by 8.
12y+15z=140-8x
Subtract 8x from both sides.
12y=140-8x-15z
Subtract 15z from both sides.
12y=140-15z-8x
The equation is in standard form.
\frac{12y}{12}=\frac{140-15z-8x}{12}
Divide both sides by 12.
y=\frac{140-15z-8x}{12}
Dividing by 12 undoes the multiplication by 12.
y=-\frac{2x}{3}-\frac{5z}{4}+\frac{35}{3}
Divide 140-8x-15z by 12.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}