Evaluate
\frac{-x-11y}{4}
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\frac{-x-11y}{4}
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\frac{1}{2}x+\frac{1}{2}\left(-5\right)y-\frac{1}{4}\left(3x+y\right)
Use the distributive property to multiply \frac{1}{2} by x-5y.
\frac{1}{2}x+\frac{-5}{2}y-\frac{1}{4}\left(3x+y\right)
Multiply \frac{1}{2} and -5 to get \frac{-5}{2}.
\frac{1}{2}x-\frac{5}{2}y-\frac{1}{4}\left(3x+y\right)
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
\frac{1}{2}x-\frac{5}{2}y-\frac{1}{4}\times 3x-\frac{1}{4}y
Use the distributive property to multiply -\frac{1}{4} by 3x+y.
\frac{1}{2}x-\frac{5}{2}y+\frac{-3}{4}x-\frac{1}{4}y
Express -\frac{1}{4}\times 3 as a single fraction.
\frac{1}{2}x-\frac{5}{2}y-\frac{3}{4}x-\frac{1}{4}y
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
-\frac{1}{4}x-\frac{5}{2}y-\frac{1}{4}y
Combine \frac{1}{2}x and -\frac{3}{4}x to get -\frac{1}{4}x.
-\frac{1}{4}x-\frac{11}{4}y
Combine -\frac{5}{2}y and -\frac{1}{4}y to get -\frac{11}{4}y.
\frac{1}{2}x+\frac{1}{2}\left(-5\right)y-\frac{1}{4}\left(3x+y\right)
Use the distributive property to multiply \frac{1}{2} by x-5y.
\frac{1}{2}x+\frac{-5}{2}y-\frac{1}{4}\left(3x+y\right)
Multiply \frac{1}{2} and -5 to get \frac{-5}{2}.
\frac{1}{2}x-\frac{5}{2}y-\frac{1}{4}\left(3x+y\right)
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
\frac{1}{2}x-\frac{5}{2}y-\frac{1}{4}\times 3x-\frac{1}{4}y
Use the distributive property to multiply -\frac{1}{4} by 3x+y.
\frac{1}{2}x-\frac{5}{2}y+\frac{-3}{4}x-\frac{1}{4}y
Express -\frac{1}{4}\times 3 as a single fraction.
\frac{1}{2}x-\frac{5}{2}y-\frac{3}{4}x-\frac{1}{4}y
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
-\frac{1}{4}x-\frac{5}{2}y-\frac{1}{4}y
Combine \frac{1}{2}x and -\frac{3}{4}x to get -\frac{1}{4}x.
-\frac{1}{4}x-\frac{11}{4}y
Combine -\frac{5}{2}y and -\frac{1}{4}y to get -\frac{11}{4}y.
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}