Question

Use the function graphs to solve the equation 2x + 3 = 3x + 4.
(1 point)
1
7
−1
2

Answer 1

To solve the equation \(2x + 3 = 3x + 4\) using function graphs, we can rewrite it in terms of two functions:

1. \(f(x) = 2x + 3\)
2. \(g(x) = 3x + 4\)

We want to find the value of \(x\) where these two functions are equal, that is, where \(f(x) = g(x)\).

To find the intersection point of the two functions, we can rearrange the equation:

\[
2x + 3 = 3x + 4
\]
Subtract \(2x\) from both sides:
\[
3 = x + 4
\]
Now, subtract \(4\) from both sides:
\[
3 - 4 = x
\]
\[
x = -1
\]

Thus, the solution to the equation \(2x + 3 = 3x + 4\) is \(x = -1\).

Therefore, the answer is \(-1\).