Use the image to answer the question.
Two lines slope upward on a coordinate plane. A solid line passes through the plotted point left parenthesis 2 comma 7 right parenthesis. A dotted line intersects the first line at the plotted point left parenthesis negative 1 comma 1 right parenthesis.
Use the function graphs to solve the equation 2x+3=3x+4
.
(1 point)
Responses
1
1
7
7
−1
negative 1
2
2
1 answer
To solve the equation \(2x + 3 = 3x + 4\), let's rearrange it step by step.
Start with the equation: \[ 2x + 3 = 3x + 4 \]
Subtract \(2x\) from both sides: \[ 3 = x + 4 \]
Subtract \(4\) from both sides: \[ 3 - 4 = x \] \[ -1 = x \] or \[ x = -1 \]
Thus, the solution to the equation \(2x + 3 = 3x + 4\) is \(x = -1\).
So, the correct response is:
