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
2
2
7
7
−1
negative 1
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1 answer
To solve the equation \(2x + 3 = 3x + 4\), we will first simplify and solve for \(x\).
Subtract \(2x\) from both sides: \[ 3 = x + 4 \]
Subtract \(4\) from both sides: \[ 3 - 4 = x \] \[ -1 = x \]
Therefore, the solution to the equation \(2x + 3 = 3x + 4\) is \(x = -1\).
Based on the responses provided, the correct answer is: −1.
