\left\{ \begin{array} { l } { 2 a + b = - 1 } \\ { 2 b = 14 } \\ { b + c = 25 } \end{array} \right.
Solve for a, b, c
a=-4
b=7
c=18
Share
Copied to clipboard
b=\frac{14}{2}
Consider the second equation. Divide both sides by 2.
b=7
Divide 14 by 2 to get 7.
7+c=25
Consider the third equation. Insert the known values of variables into the equation.
c=25-7
Subtract 7 from both sides.
c=18
Subtract 7 from 25 to get 18.
2a+7=-1
Consider the first equation. Insert the known values of variables into the equation.
2a=-1-7
Subtract 7 from both sides.
2a=-8
Subtract 7 from -1 to get -8.
a=\frac{-8}{2}
Divide both sides by 2.
a=-4
Divide -8 by 2 to get -4.
a=-4 b=7 c=18
The system is now solved.
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}