Solve for b
b = \frac{18}{5} = 3\frac{3}{5} = 3.6
Share
Copied to clipboard
2=\frac{-8}{5}+b
Express -\frac{1}{5}\times 8 as a single fraction.
2=-\frac{8}{5}+b
Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.
-\frac{8}{5}+b=2
Swap sides so that all variable terms are on the left hand side.
b=2+\frac{8}{5}
Add \frac{8}{5} to both sides.
b=\frac{10}{5}+\frac{8}{5}
Convert 2 to fraction \frac{10}{5}.
b=\frac{10+8}{5}
Since \frac{10}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.
b=\frac{18}{5}
Add 10 and 8 to get 18.
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}