Solve for g
g=\frac{9}{2}-2q
Solve for q
q=-\frac{g}{2}+\frac{9}{4}
Share
Copied to clipboard
6+6g-9+12q-15=9
Subtract 3 from 9 to get 6.
-3+6g+12q-15=9
Subtract 9 from 6 to get -3.
-18+6g+12q=9
Subtract 15 from -3 to get -18.
6g+12q=9+18
Add 18 to both sides.
6g+12q=27
Add 9 and 18 to get 27.
6g=27-12q
Subtract 12q from both sides.
\frac{6g}{6}=\frac{27-12q}{6}
Divide both sides by 6.
g=\frac{27-12q}{6}
Dividing by 6 undoes the multiplication by 6.
g=\frac{9}{2}-2q
Divide 27-12q by 6.
6+6g-9+12q-15=9
Subtract 3 from 9 to get 6.
-3+6g+12q-15=9
Subtract 9 from 6 to get -3.
-18+6g+12q=9
Subtract 15 from -3 to get -18.
6g+12q=9+18
Add 18 to both sides.
6g+12q=27
Add 9 and 18 to get 27.
12q=27-6g
Subtract 6g from both sides.
\frac{12q}{12}=\frac{27-6g}{12}
Divide both sides by 12.
q=\frac{27-6g}{12}
Dividing by 12 undoes the multiplication by 12.
q=-\frac{g}{2}+\frac{9}{4}
Divide 27-6g by 12.
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}