Solve for x
x=\frac{5}{2}-y
Solve for y
y=\frac{5}{2}-x
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2x+3y-5=y
Swap sides so that all variable terms are on the left hand side.
2x-5=y-3y
Subtract 3y from both sides.
2x-5=-2y
Combine y and -3y to get -2y.
2x=-2y+5
Add 5 to both sides.
2x=5-2y
The equation is in standard form.
\frac{2x}{2}=\frac{5-2y}{2}
Divide both sides by 2.
x=\frac{5-2y}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{5}{2}-y
Divide -2y+5 by 2.
y-3y=2x-5
Subtract 3y from both sides.
-2y=2x-5
Combine y and -3y to get -2y.
\frac{-2y}{-2}=\frac{2x-5}{-2}
Divide both sides by -2.
y=\frac{2x-5}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{5}{2}-x
Divide 2x-5 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
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}