Solve for x
x=\frac{2y-13}{5}
Solve for y
y=\frac{5x+13}{2}
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2.5x+6.5=y
Swap sides so that all variable terms are on the left hand side.
2.5x=y-6.5
Subtract 6.5 from both sides.
\frac{2.5x}{2.5}=\frac{y-6.5}{2.5}
Divide both sides of the equation by 2.5, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-6.5}{2.5}
Dividing by 2.5 undoes the multiplication by 2.5.
x=\frac{2y-13}{5}
Divide y-6.5 by 2.5 by multiplying y-6.5 by the reciprocal of 2.5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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
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