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2x-y-21
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2x-y-21
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3x-12y+2\left(2x-y\right)-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Use the distributive property to multiply 3 by x-4y.
3x-12y+4x-2y-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Use the distributive property to multiply 2 by 2x-y.
7x-12y-2y-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Combine 3x and 4x to get 7x.
7x-14y-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Combine -12y and -2y to get -14y.
7x-14y-10-\left(6x-12y-\left(x+y\right)+11\right)
Use the distributive property to multiply 6 by x-2y.
7x-14y-10-\left(6x-12y-x-y+11\right)
To find the opposite of x+y, find the opposite of each term.
7x-14y-10-\left(5x-12y-y+11\right)
Combine 6x and -x to get 5x.
7x-14y-10-\left(5x-13y+11\right)
Combine -12y and -y to get -13y.
7x-14y-10-5x-\left(-13y\right)-11
To find the opposite of 5x-13y+11, find the opposite of each term.
7x-14y-10-5x+13y-11
The opposite of -13y is 13y.
2x-14y-10+13y-11
Combine 7x and -5x to get 2x.
2x-y-10-11
Combine -14y and 13y to get -y.
2x-y-21
Subtract 11 from -10 to get -21.
3x-12y+2\left(2x-y\right)-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Use the distributive property to multiply 3 by x-4y.
3x-12y+4x-2y-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Use the distributive property to multiply 2 by 2x-y.
7x-12y-2y-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Combine 3x and 4x to get 7x.
7x-14y-10-\left(6\left(x-2y\right)-\left(x+y\right)+11\right)
Combine -12y and -2y to get -14y.
7x-14y-10-\left(6x-12y-\left(x+y\right)+11\right)
Use the distributive property to multiply 6 by x-2y.
7x-14y-10-\left(6x-12y-x-y+11\right)
To find the opposite of x+y, find the opposite of each term.
7x-14y-10-\left(5x-12y-y+11\right)
Combine 6x and -x to get 5x.
7x-14y-10-\left(5x-13y+11\right)
Combine -12y and -y to get -13y.
7x-14y-10-5x-\left(-13y\right)-11
To find the opposite of 5x-13y+11, find the opposite of each term.
7x-14y-10-5x+13y-11
The opposite of -13y is 13y.
2x-14y-10+13y-11
Combine 7x and -5x to get 2x.
2x-y-10-11
Combine -14y and 13y to get -y.
2x-y-21
Subtract 11 from -10 to get -21.
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}