Question

Use the image to answer the question.

Four points are plotted on a coordinate plane, forming two intersecting lines.

What is the solution to the equation 2x−1=4x+3
?

(1 point)
Responses

−2
negative 2

−0.75
negative 0.75

0
0

−5

Answer 1

To solve the equation \(2x - 1 = 4x + 3\), we can start by rearranging the equation to isolate \(x\).

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

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

3. Now, divide both sides by \(2\):
\[
x = -2
\]

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

The answer is:
\[
\text{−2}
\]