Solve for a
a=-\left(b+5\right)
Solve for b
b=-\left(a+5\right)
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10+2a=-2b
The opposite of -2a is 2a.
2a=-2b-10
Subtract 10 from both sides.
\frac{2a}{2}=\frac{-2b-10}{2}
Divide both sides by 2.
a=\frac{-2b-10}{2}
Dividing by 2 undoes the multiplication by 2.
a=-b-5
Divide -2b-10 by 2.
10+2a=-2b
The opposite of -2a is 2a.
-2b=10+2a
Swap sides so that all variable terms are on the left hand side.
-2b=2a+10
The equation is in standard form.
\frac{-2b}{-2}=\frac{2a+10}{-2}
Divide both sides by -2.
b=\frac{2a+10}{-2}
Dividing by -2 undoes the multiplication by -2.
b=-\left(a+5\right)
Divide 10+2a by -2.
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
\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}