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5y-13x
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5y-13x
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-15x+6y-3+0.5\left(4x-\left(2y-6\right)\right)
Use the distributive property to multiply -3 by 5x-2y+1.
-15x+6y-3+0.5\left(4x-2y-\left(-6\right)\right)
To find the opposite of 2y-6, find the opposite of each term.
-15x+6y-3+0.5\left(4x-2y+6\right)
The opposite of -6 is 6.
-15x+6y-3+2x-y+3
Use the distributive property to multiply 0.5 by 4x-2y+6.
-13x+6y-3-y+3
Combine -15x and 2x to get -13x.
-13x+5y-3+3
Combine 6y and -y to get 5y.
-13x+5y
Add -3 and 3 to get 0.
-15x+6y-3+0.5\left(4x-\left(2y-6\right)\right)
Use the distributive property to multiply -3 by 5x-2y+1.
-15x+6y-3+0.5\left(4x-2y-\left(-6\right)\right)
To find the opposite of 2y-6, find the opposite of each term.
-15x+6y-3+0.5\left(4x-2y+6\right)
The opposite of -6 is 6.
-15x+6y-3+2x-y+3
Use the distributive property to multiply 0.5 by 4x-2y+6.
-13x+6y-3-y+3
Combine -15x and 2x to get -13x.
-13x+5y-3+3
Combine 6y and -y to get 5y.
-13x+5y
Add -3 and 3 to get 0.
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}