Evaluate
\frac{3y}{2}-\frac{x}{6}
Expand
\frac{3y}{2}-\frac{x}{6}
Quiz
Algebra
5 problems similar to:
\frac { 1 } { 2 } x + y - ( \frac { 2 } { 3 } x - \frac { y } { 2 } )
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\frac{1}{2}x+y-\frac{2}{3}x-\left(-\frac{y}{2}\right)
To find the opposite of \frac{2}{3}x-\frac{y}{2}, find the opposite of each term.
-\frac{1}{6}x+y-\left(-\frac{y}{2}\right)
Combine \frac{1}{2}x and -\frac{2}{3}x to get -\frac{1}{6}x.
-\frac{1}{6}x+y+\frac{y}{2}
Multiply -1 and -1 to get 1.
-\frac{1}{6}x+\frac{3}{2}y
Combine y and \frac{y}{2} to get \frac{3}{2}y.
\frac{1}{2}x+y-\frac{2}{3}x-\left(-\frac{y}{2}\right)
To find the opposite of \frac{2}{3}x-\frac{y}{2}, find the opposite of each term.
-\frac{1}{6}x+y-\left(-\frac{y}{2}\right)
Combine \frac{1}{2}x and -\frac{2}{3}x to get -\frac{1}{6}x.
-\frac{1}{6}x+y+\frac{y}{2}
Multiply -1 and -1 to get 1.
-\frac{1}{6}x+\frac{3}{2}y
Combine y and \frac{y}{2} to get \frac{3}{2}y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}