Evaluate
\frac{3}{2}+5y-x
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\frac{3}{2}+5y-x
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-\frac{1}{2}\times 2x-\frac{1}{2}\left(-10\right)y-\frac{1}{2}\left(-3\right)
Use the distributive property to multiply -\frac{1}{2} by 2x-10y-3.
-x-\frac{1}{2}\left(-10\right)y-\frac{1}{2}\left(-3\right)
Cancel out 2 and 2.
-x+\frac{-\left(-10\right)}{2}y-\frac{1}{2}\left(-3\right)
Express -\frac{1}{2}\left(-10\right) as a single fraction.
-x+\frac{10}{2}y-\frac{1}{2}\left(-3\right)
Multiply -1 and -10 to get 10.
-x+5y-\frac{1}{2}\left(-3\right)
Divide 10 by 2 to get 5.
-x+5y+\frac{-\left(-3\right)}{2}
Express -\frac{1}{2}\left(-3\right) as a single fraction.
-x+5y+\frac{3}{2}
Multiply -1 and -3 to get 3.
-\frac{1}{2}\times 2x-\frac{1}{2}\left(-10\right)y-\frac{1}{2}\left(-3\right)
Use the distributive property to multiply -\frac{1}{2} by 2x-10y-3.
-x-\frac{1}{2}\left(-10\right)y-\frac{1}{2}\left(-3\right)
Cancel out 2 and 2.
-x+\frac{-\left(-10\right)}{2}y-\frac{1}{2}\left(-3\right)
Express -\frac{1}{2}\left(-10\right) as a single fraction.
-x+\frac{10}{2}y-\frac{1}{2}\left(-3\right)
Multiply -1 and -10 to get 10.
-x+5y-\frac{1}{2}\left(-3\right)
Divide 10 by 2 to get 5.
-x+5y+\frac{-\left(-3\right)}{2}
Express -\frac{1}{2}\left(-3\right) as a single fraction.
-x+5y+\frac{3}{2}
Multiply -1 and -3 to get 3.
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}