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
negative 1

1
1

7
7

2
2
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1 answer

To solve the equation \( 2x + 3 = 3x + 4 \), we can rearrange the equation.

  1. Subtract \( 2x \) from both sides: \[ 3 = x + 4 \]

  2. Next, subtract \( 4 \) from both sides: \[ 3 - 4 = x \] \[ -1 = x \]

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

The answer is: -1