Solve for x
x=2-y
Solve for y
y=2-x
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y-2=\left(-\frac{1}{1}\right)\left(x-0\right)
Extract the negative sign in 1-2.
y-2=-\left(x-0\right)
Cancel out 1 in both numerator and denominator.
-\left(x-0\right)=y-2
Swap sides so that all variable terms are on the left hand side.
-x=y-2
Reorder the terms.
\frac{-x}{-1}=\frac{y-2}{-1}
Divide both sides by -1.
x=\frac{y-2}{-1}
Dividing by -1 undoes the multiplication by -1.
x=2-y
Divide y-2 by -1.
y-2=\left(-\frac{1}{1}\right)\left(x-0\right)
Extract the negative sign in 1-2.
y-2=-\left(x-0\right)
Cancel out 1 in both numerator and denominator.
y=-\left(x-0\right)+2
Add 2 to both sides.
y=-x+2
Reorder the terms.
Examples
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Matrix
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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
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Limits
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