Solve for a
a=\frac{13}{18b}
b\neq 0
Solve for b
b=\frac{13}{18a}
a\neq 0
Share
Copied to clipboard
18ab=5+8
Add 8 to both sides.
18ab=13
Add 5 and 8 to get 13.
18ba=13
The equation is in standard form.
\frac{18ba}{18b}=\frac{13}{18b}
Divide both sides by 18b.
a=\frac{13}{18b}
Dividing by 18b undoes the multiplication by 18b.
18ab=5+8
Add 8 to both sides.
18ab=13
Add 5 and 8 to get 13.
\frac{18ab}{18a}=\frac{13}{18a}
Divide both sides by 18a.
b=\frac{13}{18a}
Dividing by 18a undoes the multiplication by 18a.
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}