Evaluate
-\frac{34x}{5}+2y-3
Expand
-\frac{34x}{5}+2y-3
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-5x+8y-3\times \frac{3}{5}x-6y-3
Use the distributive property to multiply -3 by \frac{3}{5}x+2y+1.
-5x+8y+\frac{-3\times 3}{5}x-6y-3
Express -3\times \frac{3}{5} as a single fraction.
-5x+8y+\frac{-9}{5}x-6y-3
Multiply -3 and 3 to get -9.
-5x+8y-\frac{9}{5}x-6y-3
Fraction \frac{-9}{5} can be rewritten as -\frac{9}{5} by extracting the negative sign.
-\frac{34}{5}x+8y-6y-3
Combine -5x and -\frac{9}{5}x to get -\frac{34}{5}x.
-\frac{34}{5}x+2y-3
Combine 8y and -6y to get 2y.
-5x+8y-3\times \frac{3}{5}x-6y-3
Use the distributive property to multiply -3 by \frac{3}{5}x+2y+1.
-5x+8y+\frac{-3\times 3}{5}x-6y-3
Express -3\times \frac{3}{5} as a single fraction.
-5x+8y+\frac{-9}{5}x-6y-3
Multiply -3 and 3 to get -9.
-5x+8y-\frac{9}{5}x-6y-3
Fraction \frac{-9}{5} can be rewritten as -\frac{9}{5} by extracting the negative sign.
-\frac{34}{5}x+8y-6y-3
Combine -5x and -\frac{9}{5}x to get -\frac{34}{5}x.
-\frac{34}{5}x+2y-3
Combine 8y and -6y to get 2y.
Examples
Quadratic equation
{ 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}