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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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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
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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
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
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