Question

solve the system using the subsition method if there is no solution put no solution if there is infinite solutions put infiniteB= 5c + 9B= -4c -9

Answer 1

Solve the following system, using substitution

$\begin{bmatrix}B=5c+9 \\ B=-4c-9\end{bmatrix}$

Substitute B = -4c-9

$-4c-9=5c+9$

clear C

$\begin{gathered} -4c-9+9=5c+9+9 \\ -4c=5c+18 \\ -4c-5c=5c+18-5c \\ -9c=18 \\ \frac{-9c}{-9}=\frac{18}{-9} \\ c=-2 \end{gathered}$

We have found that C = -2

Now, let's find B

Substitute C = -2;

$B=-4\mleft(-2\mright)-9$$B=-1$

Thus, the solution for this system is:

B = -1, C = -2