Solve for x
x=\frac{1}{2}-y
Solve for y
y=\frac{1}{2}-x
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2019x+2019y+2017\left(y+x\right)=2018
Use the distributive property to multiply 2019 by x+y.
2019x+2019y+2017y+2017x=2018
Use the distributive property to multiply 2017 by y+x.
2019x+4036y+2017x=2018
Combine 2019y and 2017y to get 4036y.
4036x+4036y=2018
Combine 2019x and 2017x to get 4036x.
4036x=2018-4036y
Subtract 4036y from both sides.
\frac{4036x}{4036}=\frac{2018-4036y}{4036}
Divide both sides by 4036.
x=\frac{2018-4036y}{4036}
Dividing by 4036 undoes the multiplication by 4036.
x=\frac{1}{2}-y
Divide 2018-4036y by 4036.
2019x+2019y+2017\left(y+x\right)=2018
Use the distributive property to multiply 2019 by x+y.
2019x+2019y+2017y+2017x=2018
Use the distributive property to multiply 2017 by y+x.
2019x+4036y+2017x=2018
Combine 2019y and 2017y to get 4036y.
4036x+4036y=2018
Combine 2019x and 2017x to get 4036x.
4036y=2018-4036x
Subtract 4036x from both sides.
\frac{4036y}{4036}=\frac{2018-4036x}{4036}
Divide both sides by 4036.
y=\frac{2018-4036x}{4036}
Dividing by 4036 undoes the multiplication by 4036.
y=\frac{1}{2}-x
Divide 2018-4036x by 4036.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}