Solve for k
k = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333
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16-6k-6+6=8
Calculate 4 to the power of 2 and get 16.
10-6k+6=8
Subtract 6 from 16 to get 10.
16-6k=8
Add 10 and 6 to get 16.
-6k=8-16
Subtract 16 from both sides.
-6k=-8
Subtract 16 from 8 to get -8.
k=\frac{-8}{-6}
Divide both sides by -6.
k=\frac{4}{3}
Reduce the fraction \frac{-8}{-6} to lowest terms by extracting and canceling out -2.
Examples
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y = 3x + 4
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\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
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