Evaluate
\frac{6y}{7}+4x-3
Expand
\frac{6y}{7}+4x-3
Quiz
Algebra
5 problems similar to:
\frac { 1 } { 5 } ( 45 x - 15 ) - \frac { 1 } { 7 } ( 35 x - 6 y )
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\frac{1}{5}\times 45x+\frac{1}{5}\left(-15\right)-\frac{1}{7}\left(35x-6y\right)
Use the distributive property to multiply \frac{1}{5} by 45x-15.
\frac{45}{5}x+\frac{1}{5}\left(-15\right)-\frac{1}{7}\left(35x-6y\right)
Multiply \frac{1}{5} and 45 to get \frac{45}{5}.
9x+\frac{1}{5}\left(-15\right)-\frac{1}{7}\left(35x-6y\right)
Divide 45 by 5 to get 9.
9x+\frac{-15}{5}-\frac{1}{7}\left(35x-6y\right)
Multiply \frac{1}{5} and -15 to get \frac{-15}{5}.
9x-3-\frac{1}{7}\left(35x-6y\right)
Divide -15 by 5 to get -3.
9x-3-\frac{1}{7}\times 35x-\frac{1}{7}\left(-6\right)y
Use the distributive property to multiply -\frac{1}{7} by 35x-6y.
9x-3+\frac{-35}{7}x-\frac{1}{7}\left(-6\right)y
Express -\frac{1}{7}\times 35 as a single fraction.
9x-3-5x-\frac{1}{7}\left(-6\right)y
Divide -35 by 7 to get -5.
9x-3-5x+\frac{-\left(-6\right)}{7}y
Express -\frac{1}{7}\left(-6\right) as a single fraction.
9x-3-5x+\frac{6}{7}y
Multiply -1 and -6 to get 6.
4x-3+\frac{6}{7}y
Combine 9x and -5x to get 4x.
\frac{1}{5}\times 45x+\frac{1}{5}\left(-15\right)-\frac{1}{7}\left(35x-6y\right)
Use the distributive property to multiply \frac{1}{5} by 45x-15.
\frac{45}{5}x+\frac{1}{5}\left(-15\right)-\frac{1}{7}\left(35x-6y\right)
Multiply \frac{1}{5} and 45 to get \frac{45}{5}.
9x+\frac{1}{5}\left(-15\right)-\frac{1}{7}\left(35x-6y\right)
Divide 45 by 5 to get 9.
9x+\frac{-15}{5}-\frac{1}{7}\left(35x-6y\right)
Multiply \frac{1}{5} and -15 to get \frac{-15}{5}.
9x-3-\frac{1}{7}\left(35x-6y\right)
Divide -15 by 5 to get -3.
9x-3-\frac{1}{7}\times 35x-\frac{1}{7}\left(-6\right)y
Use the distributive property to multiply -\frac{1}{7} by 35x-6y.
9x-3+\frac{-35}{7}x-\frac{1}{7}\left(-6\right)y
Express -\frac{1}{7}\times 35 as a single fraction.
9x-3-5x-\frac{1}{7}\left(-6\right)y
Divide -35 by 7 to get -5.
9x-3-5x+\frac{-\left(-6\right)}{7}y
Express -\frac{1}{7}\left(-6\right) as a single fraction.
9x-3-5x+\frac{6}{7}y
Multiply -1 and -6 to get 6.
4x-3+\frac{6}{7}y
Combine 9x and -5x to get 4x.
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}