Solve for w
w = -\frac{52}{11} = -4\frac{8}{11} \approx -4.727272727
Share
Copied to clipboard
2w+6=13w+58
Add -4 and 62 to get 58.
2w+6-13w=58
Subtract 13w from both sides.
-11w+6=58
Combine 2w and -13w to get -11w.
-11w=58-6
Subtract 6 from both sides.
-11w=52
Subtract 6 from 58 to get 52.
w=\frac{52}{-11}
Divide both sides by -11.
w=-\frac{52}{11}
Fraction \frac{52}{-11} can be rewritten as -\frac{52}{11} by extracting the negative sign.
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}