Solve for y
y=\frac{3z-11}{5}
Solve for z
z=\frac{5y+11}{3}
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3-y-z+6y-2z=-8
Multiply both sides of the equation by 2.
3+5y-z-2z=-8
Combine -y and 6y to get 5y.
3+5y-3z=-8
Combine -z and -2z to get -3z.
5y-3z=-8-3
Subtract 3 from both sides.
5y-3z=-11
Subtract 3 from -8 to get -11.
5y=-11+3z
Add 3z to both sides.
5y=3z-11
The equation is in standard form.
\frac{5y}{5}=\frac{3z-11}{5}
Divide both sides by 5.
y=\frac{3z-11}{5}
Dividing by 5 undoes the multiplication by 5.
3-y-z+6y-2z=-8
Multiply both sides of the equation by 2.
3+5y-z-2z=-8
Combine -y and 6y to get 5y.
3+5y-3z=-8
Combine -z and -2z to get -3z.
5y-3z=-8-3
Subtract 3 from both sides.
5y-3z=-11
Subtract 3 from -8 to get -11.
-3z=-11-5y
Subtract 5y from both sides.
-3z=-5y-11
The equation is in standard form.
\frac{-3z}{-3}=\frac{-5y-11}{-3}
Divide both sides by -3.
z=\frac{-5y-11}{-3}
Dividing by -3 undoes the multiplication by -3.
z=\frac{5y+11}{3}
Divide -11-5y by -3.
Examples
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{ 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}