Solve for a
a=\frac{b+3}{5}
Solve for b
b=5a-3
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25a-5b+3=18
Swap sides so that all variable terms are on the left hand side.
25a+3=18+5b
Add 5b to both sides.
25a=18+5b-3
Subtract 3 from both sides.
25a=15+5b
Subtract 3 from 18 to get 15.
25a=5b+15
The equation is in standard form.
\frac{25a}{25}=\frac{5b+15}{25}
Divide both sides by 25.
a=\frac{5b+15}{25}
Dividing by 25 undoes the multiplication by 25.
a=\frac{b+3}{5}
Divide 15+5b by 25.
25a-5b+3=18
Swap sides so that all variable terms are on the left hand side.
-5b+3=18-25a
Subtract 25a from both sides.
-5b=18-25a-3
Subtract 3 from both sides.
-5b=15-25a
Subtract 3 from 18 to get 15.
\frac{-5b}{-5}=\frac{15-25a}{-5}
Divide both sides by -5.
b=\frac{15-25a}{-5}
Dividing by -5 undoes the multiplication by -5.
b=5a-3
Divide 15-25a by -5.
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
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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}