Question

1. solve the equation.

\frac{x + 4}{x + 1} = \frac{3}{x + 1}
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. x = \boxed{} (use a comma to separate answers as needed.)
b. there is no solution.

Explanation:

Step1: Analyze the equation

We have the equation \(\frac{x + 4}{x + 1}=\frac{3}{x + 1}\). First, note that the denominator \(x+1\) cannot be zero, so \(x
eq - 1\).

Step2: Eliminate the denominator

Multiply both sides of the equation by \(x + 1\) (since \(x
eq - 1\), this is a valid operation) to get \(x + 4=3\).

Step3: Solve for \(x\)

Subtract 4 from both sides: \(x=3 - 4=-1\). But we know from Step 1 that \(x
eq - 1\) (because it makes the denominator zero), so this solution is extraneous.

Answer:

B. There is no solution.