Solve for x
x=y-2
Solve for y
y=x+2
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2x+4-y=y
Swap sides so that all variable terms are on the left hand side.
2x-y=y-4
Subtract 4 from both sides.
2x=y-4+y
Add y to both sides.
2x=2y-4
Combine y and y to get 2y.
\frac{2x}{2}=\frac{2y-4}{2}
Divide both sides by 2.
x=\frac{2y-4}{2}
Dividing by 2 undoes the multiplication by 2.
x=y-2
Divide -4+2y by 2.
y+y=2x+4
Add y to both sides.
2y=2x+4
Combine y and y to get 2y.
\frac{2y}{2}=\frac{2x+4}{2}
Divide both sides by 2.
y=\frac{2x+4}{2}
Dividing by 2 undoes the multiplication by 2.
y=x+2
Divide 4+2x by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}