Solve for z
z = \frac{31}{10} = 3\frac{1}{10} = 3.1
Share
Copied to clipboard
-4z+32=6z+1
Multiply both sides of the equation by 4.
-4z+32-6z=1
Subtract 6z from both sides.
-10z+32=1
Combine -4z and -6z to get -10z.
-10z=1-32
Subtract 32 from both sides.
-10z=-31
Subtract 32 from 1 to get -31.
z=\frac{-31}{-10}
Divide both sides by -10.
z=\frac{31}{10}
Fraction \frac{-31}{-10} can be simplified to \frac{31}{10} by removing the negative sign from both the numerator and the denominator.
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}