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\frac{92y}{x}+26
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\frac{92y}{x}+26
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\frac{13\left(14x+49y\right)}{7x}+\frac{y}{x}
Express \frac{13}{7x}\left(14x+49y\right) as a single fraction.
\frac{13\left(14x+49y\right)}{7x}+\frac{7y}{7x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x and x is 7x. Multiply \frac{y}{x} times \frac{7}{7}.
\frac{13\left(14x+49y\right)+7y}{7x}
Since \frac{13\left(14x+49y\right)}{7x} and \frac{7y}{7x} have the same denominator, add them by adding their numerators.
\frac{182x+637y+7y}{7x}
Do the multiplications in 13\left(14x+49y\right)+7y.
\frac{182x+644y}{7x}
Combine like terms in 182x+637y+7y.
\frac{14\left(13x+46y\right)}{7x}
Factor the expressions that are not already factored in \frac{182x+644y}{7x}.
\frac{2\left(13x+46y\right)}{x}
Cancel out 7 in both numerator and denominator.
\frac{26x+92y}{x}
Use the distributive property to multiply 2 by 13x+46y.
\frac{13\left(14x+49y\right)}{7x}+\frac{y}{x}
Express \frac{13}{7x}\left(14x+49y\right) as a single fraction.
\frac{13\left(14x+49y\right)}{7x}+\frac{7y}{7x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x and x is 7x. Multiply \frac{y}{x} times \frac{7}{7}.
\frac{13\left(14x+49y\right)+7y}{7x}
Since \frac{13\left(14x+49y\right)}{7x} and \frac{7y}{7x} have the same denominator, add them by adding their numerators.
\frac{182x+637y+7y}{7x}
Do the multiplications in 13\left(14x+49y\right)+7y.
\frac{182x+644y}{7x}
Combine like terms in 182x+637y+7y.
\frac{14\left(13x+46y\right)}{7x}
Factor the expressions that are not already factored in \frac{182x+644y}{7x}.
\frac{2\left(13x+46y\right)}{x}
Cancel out 7 in both numerator and denominator.
\frac{26x+92y}{x}
Use the distributive property to multiply 2 by 13x+46y.
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}