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 \\ (-9c)/(-9)=(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