Solve for x
x=-\frac{z}{2}-\frac{2y}{5}+28
Solve for y
y=-\frac{5x}{2}-\frac{5z}{4}+70
Share
Copied to clipboard
\frac{1}{2}x+\frac{1}{4}z=14-\frac{1}{5}y
Subtract \frac{1}{5}y from both sides.
\frac{1}{2}x=14-\frac{1}{5}y-\frac{1}{4}z
Subtract \frac{1}{4}z from both sides.
\frac{1}{2}x=-\frac{y}{5}-\frac{z}{4}+14
The equation is in standard form.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{-\frac{y}{5}-\frac{z}{4}+14}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{-\frac{y}{5}-\frac{z}{4}+14}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=-\frac{z}{2}-\frac{2y}{5}+28
Divide 14-\frac{y}{5}-\frac{z}{4} by \frac{1}{2} by multiplying 14-\frac{y}{5}-\frac{z}{4} by the reciprocal of \frac{1}{2}.
\frac{1}{5}y+\frac{1}{4}z=14-\frac{1}{2}x
Subtract \frac{1}{2}x from both sides.
\frac{1}{5}y=14-\frac{1}{2}x-\frac{1}{4}z
Subtract \frac{1}{4}z from both sides.
\frac{1}{5}y=-\frac{x}{2}-\frac{z}{4}+14
The equation is in standard form.
\frac{\frac{1}{5}y}{\frac{1}{5}}=\frac{-\frac{x}{2}-\frac{z}{4}+14}{\frac{1}{5}}
Multiply both sides by 5.
y=\frac{-\frac{x}{2}-\frac{z}{4}+14}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
y=-\frac{5x}{2}-\frac{5z}{4}+70
Divide 14-\frac{x}{2}-\frac{z}{4} by \frac{1}{5} by multiplying 14-\frac{x}{2}-\frac{z}{4} by the reciprocal of \frac{1}{5}.
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}