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-12y-18z
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-12y-18z
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-\frac{6}{5}\times 10y-\frac{6}{5}\times 15z
Use the distributive property to multiply -\frac{6}{5} by 10y+15z.
\frac{-6\times 10}{5}y-\frac{6}{5}\times 15z
Express -\frac{6}{5}\times 10 as a single fraction.
\frac{-60}{5}y-\frac{6}{5}\times 15z
Multiply -6 and 10 to get -60.
-12y-\frac{6}{5}\times 15z
Divide -60 by 5 to get -12.
-12y+\frac{-6\times 15}{5}z
Express -\frac{6}{5}\times 15 as a single fraction.
-12y+\frac{-90}{5}z
Multiply -6 and 15 to get -90.
-12y-18z
Divide -90 by 5 to get -18.
-\frac{6}{5}\times 10y-\frac{6}{5}\times 15z
Use the distributive property to multiply -\frac{6}{5} by 10y+15z.
\frac{-6\times 10}{5}y-\frac{6}{5}\times 15z
Express -\frac{6}{5}\times 10 as a single fraction.
\frac{-60}{5}y-\frac{6}{5}\times 15z
Multiply -6 and 10 to get -60.
-12y-\frac{6}{5}\times 15z
Divide -60 by 5 to get -12.
-12y+\frac{-6\times 15}{5}z
Express -\frac{6}{5}\times 15 as a single fraction.
-12y+\frac{-90}{5}z
Multiply -6 and 15 to get -90.
-12y-18z
Divide -90 by 5 to get -18.
Examples
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{ 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}