Solve for x
x=\frac{5y}{4}-\frac{z}{4}+\frac{3}{2}
Solve for y
y=\frac{4x+z-6}{5}
Share
Copied to clipboard
4x+z=6+5y
Add 5y to both sides.
4x=6+5y-z
Subtract z from both sides.
4x=5y-z+6
The equation is in standard form.
\frac{4x}{4}=\frac{5y-z+6}{4}
Divide both sides by 4.
x=\frac{5y-z+6}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{5y}{4}-\frac{z}{4}+\frac{3}{2}
Divide 6+5y-z by 4.
-5y+z=6-4x
Subtract 4x from both sides.
-5y=6-4x-z
Subtract z from both sides.
-5y=6-z-4x
The equation is in standard form.
\frac{-5y}{-5}=\frac{6-z-4x}{-5}
Divide both sides by -5.
y=\frac{6-z-4x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{4x+z-6}{5}
Divide 6-4x-z by -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}