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6y+8
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\frac{2}{3}\times 9y+\frac{2}{3}\times 12
Use the distributive property to multiply \frac{2}{3} by 9y+12.
\frac{2\times 9}{3}y+\frac{2}{3}\times 12
Express \frac{2}{3}\times 9 as a single fraction.
\frac{18}{3}y+\frac{2}{3}\times 12
Multiply 2 and 9 to get 18.
6y+\frac{2}{3}\times 12
Divide 18 by 3 to get 6.
6y+\frac{2\times 12}{3}
Express \frac{2}{3}\times 12 as a single fraction.
6y+\frac{24}{3}
Multiply 2 and 12 to get 24.
6y+8
Divide 24 by 3 to get 8.
\frac{2}{3}\times 9y+\frac{2}{3}\times 12
Use the distributive property to multiply \frac{2}{3} by 9y+12.
\frac{2\times 9}{3}y+\frac{2}{3}\times 12
Express \frac{2}{3}\times 9 as a single fraction.
\frac{18}{3}y+\frac{2}{3}\times 12
Multiply 2 and 9 to get 18.
6y+\frac{2}{3}\times 12
Divide 18 by 3 to get 6.
6y+\frac{2\times 12}{3}
Express \frac{2}{3}\times 12 as a single fraction.
6y+\frac{24}{3}
Multiply 2 and 12 to get 24.
6y+8
Divide 24 by 3 to get 8.
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Matrix
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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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