Evaluate
\frac{7y-5x}{4}
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\frac{7y-5x}{4}
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-\frac{1}{4}\times 5x-\frac{1}{4}\left(-3\right)y+y
Use the distributive property to multiply -\frac{1}{4} by 5x-3y.
\frac{-5}{4}x-\frac{1}{4}\left(-3\right)y+y
Express -\frac{1}{4}\times 5 as a single fraction.
-\frac{5}{4}x-\frac{1}{4}\left(-3\right)y+y
Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.
-\frac{5}{4}x+\frac{-\left(-3\right)}{4}y+y
Express -\frac{1}{4}\left(-3\right) as a single fraction.
-\frac{5}{4}x+\frac{3}{4}y+y
Multiply -1 and -3 to get 3.
-\frac{5}{4}x+\frac{7}{4}y
Combine \frac{3}{4}y and y to get \frac{7}{4}y.
-\frac{1}{4}\times 5x-\frac{1}{4}\left(-3\right)y+y
Use the distributive property to multiply -\frac{1}{4} by 5x-3y.
\frac{-5}{4}x-\frac{1}{4}\left(-3\right)y+y
Express -\frac{1}{4}\times 5 as a single fraction.
-\frac{5}{4}x-\frac{1}{4}\left(-3\right)y+y
Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.
-\frac{5}{4}x+\frac{-\left(-3\right)}{4}y+y
Express -\frac{1}{4}\left(-3\right) as a single fraction.
-\frac{5}{4}x+\frac{3}{4}y+y
Multiply -1 and -3 to get 3.
-\frac{5}{4}x+\frac{7}{4}y
Combine \frac{3}{4}y and y to get \frac{7}{4}y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}