Solve for k
k=3
Share
Copied to clipboard
-3\left(3k-5\right)=-2\left(k+3\right)
Variable k cannot be equal to \frac{5}{3} since division by zero is not defined. Multiply both sides of the equation by 2\left(3k-5\right), the least common multiple of 2,5-3k.
-9k+15=-2\left(k+3\right)
Use the distributive property to multiply -3 by 3k-5.
-9k+15=-2k-6
Use the distributive property to multiply -2 by k+3.
-9k+15+2k=-6
Add 2k to both sides.
-7k+15=-6
Combine -9k and 2k to get -7k.
-7k=-6-15
Subtract 15 from both sides.
-7k=-21
Subtract 15 from -6 to get -21.
k=\frac{-21}{-7}
Divide both sides by -7.
k=3
Divide -21 by -7 to get 3.
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}