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31x-3y-z
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31x-3y-z
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-\left(-7x-2z-\left(21x-10y+11y-\left(2y-6x+9y+8x\right)\right)+3z-5x-7y\right)
Combine 5x and 16x to get 21x.
-\left(-7x-2z-\left(21x+y-\left(2y-6x+9y+8x\right)\right)+3z-5x-7y\right)
Combine -10y and 11y to get y.
-\left(-7x-2z-\left(21x+y-\left(11y-6x+8x\right)\right)+3z-5x-7y\right)
Combine 2y and 9y to get 11y.
-\left(-7x-2z-\left(21x+y-\left(11y+2x\right)\right)+3z-5x-7y\right)
Combine -6x and 8x to get 2x.
-\left(-7x-2z-\left(21x+y-11y-2x\right)+3z-5x-7y\right)
To find the opposite of 11y+2x, find the opposite of each term.
-\left(-7x-2z-\left(21x-10y-2x\right)+3z-5x-7y\right)
Combine y and -11y to get -10y.
-\left(-7x-2z-\left(19x-10y\right)+3z-5x-7y\right)
Combine 21x and -2x to get 19x.
-\left(-7x-2z-19x-\left(-10y\right)+3z-5x-7y\right)
To find the opposite of 19x-10y, find the opposite of each term.
-\left(-7x-2z-19x+10y+3z-5x-7y\right)
The opposite of -10y is 10y.
-\left(-26x-2z+10y+3z-5x-7y\right)
Combine -7x and -19x to get -26x.
-\left(-26x+z+10y-5x-7y\right)
Combine -2z and 3z to get z.
-\left(-31x+z+10y-7y\right)
Combine -26x and -5x to get -31x.
-\left(-31x+z+3y\right)
Combine 10y and -7y to get 3y.
-\left(-31x\right)-z-3y
To find the opposite of -31x+z+3y, find the opposite of each term.
31x-z-3y
The opposite of -31x is 31x.
-\left(-7x-2z-\left(21x-10y+11y-\left(2y-6x+9y+8x\right)\right)+3z-5x-7y\right)
Combine 5x and 16x to get 21x.
-\left(-7x-2z-\left(21x+y-\left(2y-6x+9y+8x\right)\right)+3z-5x-7y\right)
Combine -10y and 11y to get y.
-\left(-7x-2z-\left(21x+y-\left(11y-6x+8x\right)\right)+3z-5x-7y\right)
Combine 2y and 9y to get 11y.
-\left(-7x-2z-\left(21x+y-\left(11y+2x\right)\right)+3z-5x-7y\right)
Combine -6x and 8x to get 2x.
-\left(-7x-2z-\left(21x+y-11y-2x\right)+3z-5x-7y\right)
To find the opposite of 11y+2x, find the opposite of each term.
-\left(-7x-2z-\left(21x-10y-2x\right)+3z-5x-7y\right)
Combine y and -11y to get -10y.
-\left(-7x-2z-\left(19x-10y\right)+3z-5x-7y\right)
Combine 21x and -2x to get 19x.
-\left(-7x-2z-19x-\left(-10y\right)+3z-5x-7y\right)
To find the opposite of 19x-10y, find the opposite of each term.
-\left(-7x-2z-19x+10y+3z-5x-7y\right)
The opposite of -10y is 10y.
-\left(-26x-2z+10y+3z-5x-7y\right)
Combine -7x and -19x to get -26x.
-\left(-26x+z+10y-5x-7y\right)
Combine -2z and 3z to get z.
-\left(-31x+z+10y-7y\right)
Combine -26x and -5x to get -31x.
-\left(-31x+z+3y\right)
Combine 10y and -7y to get 3y.
-\left(-31x\right)-z-3y
To find the opposite of -31x+z+3y, find the opposite of each term.
31x-z-3y
The opposite of -31x is 31x.
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y = 3x + 4
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\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}