Evaluate
\frac{2y}{7}-\frac{5x}{4}
Factor
\frac{8y-35x}{28}
Quiz
Algebra
5 problems similar to:
\frac { 3 } { 4 } x - \frac { 4 } { 7 } y - 2 x + \frac { 6 } { 7 } y
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-\frac{5}{4}x-\frac{4}{7}y+\frac{6}{7}y
Combine \frac{3}{4}x and -2x to get -\frac{5}{4}x.
-\frac{5}{4}x+\frac{2}{7}y
Combine -\frac{4}{7}y and \frac{6}{7}y to get \frac{2}{7}y.
\frac{21x-16y-56x+24y}{28}
Factor out \frac{1}{28}.
-35x+8y
Consider 21x-16y-56x+24y. Multiply and combine like terms.
\frac{-35x+8y}{28}
Rewrite the complete factored expression.
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}