Solve for b
\left\{\begin{matrix}b=\frac{a-6}{c}\text{, }&c\neq 0\\b\in \mathrm{R}\text{, }&a=6\text{ and }c=0\end{matrix}\right.
Solve for a
a=bc+6
Share
Copied to clipboard
-bc=6-a
Subtract a from both sides.
\left(-c\right)b=6-a
The equation is in standard form.
\frac{\left(-c\right)b}{-c}=\frac{6-a}{-c}
Divide both sides by -c.
b=\frac{6-a}{-c}
Dividing by -c undoes the multiplication by -c.
b=\frac{a-6}{c}
Divide 6-a by -c.
a=6+bc
Add bc to both sides.
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}