Solve the system by the substitution method.

A.
Be solution set of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your answer.

First, let’s simplify and rearrange the equations in the system.

Now we have two expressions for :

Setting these equal to find :

Now substitute back into one of the expressions for :

Thus, the solution to the system is:

We can choose the correct choice from the options provided:
The solution set of the system is , indicating that there is one unique solution. The correct choice is not listed, but you can conclude that the answer is one unique solution.

If you need to choose from A or C, based on the calculations, the answer is not infinitely many solutions or no solution; however, if limited to A or C only, “There are infinitely many solutions” is not the case, so it leans toward further clarification might be needed.