Solve for x
x=\frac{y}{2}-\frac{z}{10}
Solve for y
y=\frac{10x+z}{5}
Share
Copied to clipboard
-7x+4y-z-3x=-y
Subtract 3x from both sides.
-10x+4y-z=-y
Combine -7x and -3x to get -10x.
-10x-z=-y-4y
Subtract 4y from both sides.
-10x-z=-5y
Combine -y and -4y to get -5y.
-10x=-5y+z
Add z to both sides.
-10x=z-5y
The equation is in standard form.
\frac{-10x}{-10}=\frac{z-5y}{-10}
Divide both sides by -10.
x=\frac{z-5y}{-10}
Dividing by -10 undoes the multiplication by -10.
x=\frac{y}{2}-\frac{z}{10}
Divide -5y+z by -10.
-7x+4y-z+y=3x
Add y to both sides.
-7x+5y-z=3x
Combine 4y and y to get 5y.
5y-z=3x+7x
Add 7x to both sides.
5y-z=10x
Combine 3x and 7x to get 10x.
5y=10x+z
Add z to both sides.
\frac{5y}{5}=\frac{10x+z}{5}
Divide both sides by 5.
y=\frac{10x+z}{5}
Dividing by 5 undoes the multiplication by 5.
y=\frac{z}{5}+2x
Divide 10x+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}