Solve for a
a=-\frac{5d}{3}-\frac{5m}{3}+3
Solve for d
d=-\frac{3a}{5}-m+\frac{9}{5}
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9-3a-5d=m\times 5
Swap sides so that all variable terms are on the left hand side.
-3a-5d=m\times 5-9
Subtract 9 from both sides.
-3a=m\times 5-9+5d
Add 5d to both sides.
-3a=5m+5d-9
The equation is in standard form.
\frac{-3a}{-3}=\frac{5m+5d-9}{-3}
Divide both sides by -3.
a=\frac{5m+5d-9}{-3}
Dividing by -3 undoes the multiplication by -3.
a=-\frac{5d}{3}-\frac{5m}{3}+3
Divide 5m-9+5d by -3.
9-3a-5d=m\times 5
Swap sides so that all variable terms are on the left hand side.
-3a-5d=m\times 5-9
Subtract 9 from both sides.
-5d=m\times 5-9+3a
Add 3a to both sides.
-5d=5m+3a-9
The equation is in standard form.
\frac{-5d}{-5}=\frac{5m+3a-9}{-5}
Divide both sides by -5.
d=\frac{5m+3a-9}{-5}
Dividing by -5 undoes the multiplication by -5.
d=-\frac{3a}{5}-m+\frac{9}{5}
Divide 5m-9+3a by -5.
Examples
Quadratic equation
{ 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}