\left\{ \begin{array} { l } { 34 = b } \\ { 33.4 = 100 k + 6 } \end{array} \right.
Solve for b, k
b=34
k=0.274
Share
Copied to clipboard
b=34
Consider the first equation. Swap sides so that all variable terms are on the left hand side.
100k+6=33.4
Consider the second equation. Swap sides so that all variable terms are on the left hand side.
100k=33.4-6
Subtract 6 from both sides.
100k=27.4
Subtract 6 from 33.4 to get 27.4.
k=\frac{27.4}{100}
Divide both sides by 100.
k=\frac{274}{1000}
Expand \frac{27.4}{100} by multiplying both numerator and the denominator by 10.
k=\frac{137}{500}
Reduce the fraction \frac{274}{1000} to lowest terms by extracting and canceling out 2.
b=34 k=\frac{137}{500}
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}