Evaluate
\frac{9x_{2}}{22}-\frac{51x}{22}+\frac{5}{2}
Expand
\frac{9x_{2}}{22}-\frac{51x}{22}+\frac{5}{2}
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\frac{30-\left(17x\times 3-\frac{150}{6}\right)+9x_{2}}{22}
Subtract 20 from 23 to get 3.
\frac{30-\left(51x-\frac{150}{6}\right)+9x_{2}}{22}
Multiply 17 and 3 to get 51.
\frac{30-\left(51x-25\right)+9x_{2}}{22}
Divide 150 by 6 to get 25.
\frac{30-51x-\left(-25\right)+9x_{2}}{22}
To find the opposite of 51x-25, find the opposite of each term.
\frac{30-51x+25+9x_{2}}{22}
The opposite of -25 is 25.
\frac{55-51x+9x_{2}}{22}
Add 30 and 25 to get 55.
\frac{30-\left(17x\times 3-\frac{150}{6}\right)+9x_{2}}{22}
Subtract 20 from 23 to get 3.
\frac{30-\left(51x-\frac{150}{6}\right)+9x_{2}}{22}
Multiply 17 and 3 to get 51.
\frac{30-\left(51x-25\right)+9x_{2}}{22}
Divide 150 by 6 to get 25.
\frac{30-51x-\left(-25\right)+9x_{2}}{22}
To find the opposite of 51x-25, find the opposite of each term.
\frac{30-51x+25+9x_{2}}{22}
The opposite of -25 is 25.
\frac{55-51x+9x_{2}}{22}
Add 30 and 25 to get 55.
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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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