Solve for x
x=\frac{6y}{5}+\frac{8z}{5}-248
Solve for y
y=\frac{5x}{6}-\frac{4z}{3}+\frac{620}{3}
Share
Copied to clipboard
100x-160z=-24800+120y
Add 120y to both sides.
100x=-24800+120y+160z
Add 160z to both sides.
100x=120y+160z-24800
The equation is in standard form.
\frac{100x}{100}=\frac{120y+160z-24800}{100}
Divide both sides by 100.
x=\frac{120y+160z-24800}{100}
Dividing by 100 undoes the multiplication by 100.
x=\frac{6y}{5}+\frac{8z}{5}-248
Divide -24800+120y+160z by 100.
-120y-160z=-24800-100x
Subtract 100x from both sides.
-120y=-24800-100x+160z
Add 160z to both sides.
-120y=-100x+160z-24800
The equation is in standard form.
\frac{-120y}{-120}=\frac{-100x+160z-24800}{-120}
Divide both sides by -120.
y=\frac{-100x+160z-24800}{-120}
Dividing by -120 undoes the multiplication by -120.
y=\frac{5x}{6}-\frac{4z}{3}+\frac{620}{3}
Divide -24800-100x+160z by -120.
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}