Ask a New Question
Menu

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

−0.75
negative 0.75

0
0

−2
negative 2

−5

1 answer

To solve the equation \(2x - 1 = 4x + 3\), we can follow these steps:

  1. Rearrange the equation to get all terms involving \(x\) on one side and constant terms on the other:

    \(2x - 4x = 3 + 1\)

    This simplifies to:

    \(-2x = 4\)

  2. Divide both sides by -2 to solve for \(x\):

    \(x = \frac{4}{-2}\)

    So, \(x = -2\).

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

The correct response is:

  • −2 negative 2.