Solve for r
r=30
Share
Copied to clipboard
\left(r+3\right)\times 9=\left(r-3\right)\times 11
Variable r cannot be equal to any of the values -3,3 since division by zero is not defined. Multiply both sides of the equation by \left(r-3\right)\left(r+3\right), the least common multiple of r-3,r+3.
9r+27=\left(r-3\right)\times 11
Use the distributive property to multiply r+3 by 9.
9r+27=11r-33
Use the distributive property to multiply r-3 by 11.
9r+27-11r=-33
Subtract 11r from both sides.
-2r+27=-33
Combine 9r and -11r to get -2r.
-2r=-33-27
Subtract 27 from both sides.
-2r=-60
Subtract 27 from -33 to get -60.
r=\frac{-60}{-2}
Divide both sides by -2.
r=30
Divide -60 by -2 to get 30.
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}