Evaluate
19+y-x
Expand
19+y-x
Share
Copied to clipboard
2x+2-3\left(x-1\right)-3\left(y-2\right)+4\left(y+2\right)
Use the distributive property to multiply 2 by x+1.
2x+2-3x+3-3\left(y-2\right)+4\left(y+2\right)
Use the distributive property to multiply -3 by x-1.
-x+2+3-3\left(y-2\right)+4\left(y+2\right)
Combine 2x and -3x to get -x.
-x+5-3\left(y-2\right)+4\left(y+2\right)
Add 2 and 3 to get 5.
-x+5-3y+6+4\left(y+2\right)
Use the distributive property to multiply -3 by y-2.
-x+11-3y+4\left(y+2\right)
Add 5 and 6 to get 11.
-x+11-3y+4y+8
Use the distributive property to multiply 4 by y+2.
-x+11+y+8
Combine -3y and 4y to get y.
-x+19+y
Add 11 and 8 to get 19.
2x+2-3\left(x-1\right)-3\left(y-2\right)+4\left(y+2\right)
Use the distributive property to multiply 2 by x+1.
2x+2-3x+3-3\left(y-2\right)+4\left(y+2\right)
Use the distributive property to multiply -3 by x-1.
-x+2+3-3\left(y-2\right)+4\left(y+2\right)
Combine 2x and -3x to get -x.
-x+5-3\left(y-2\right)+4\left(y+2\right)
Add 2 and 3 to get 5.
-x+5-3y+6+4\left(y+2\right)
Use the distributive property to multiply -3 by y-2.
-x+11-3y+4\left(y+2\right)
Add 5 and 6 to get 11.
-x+11-3y+4y+8
Use the distributive property to multiply 4 by y+2.
-x+11+y+8
Combine -3y and 4y to get y.
-x+19+y
Add 11 and 8 to get 19.
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}