Solve for a
a=350
Share
Copied to clipboard
6\left(300+a\right)=13\times 300
Multiply both sides of the equation by 234, the least common multiple of 39,18.
1800+6a=13\times 300
Use the distributive property to multiply 6 by 300+a.
1800+6a=3900
Multiply 13 and 300 to get 3900.
6a=3900-1800
Subtract 1800 from both sides.
6a=2100
Subtract 1800 from 3900 to get 2100.
a=\frac{2100}{6}
Divide both sides by 6.
a=350
Divide 2100 by 6 to get 350.
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}