2. Use the graph below 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)
x=

1 answer

To solve the equation \(2x - 1 = 4x + 3\), we will isolate \(x\).

  1. Start by moving the terms involving \(x\) to one side of the equation and the constant terms to the other side: \[ 2x - 4x = 3 + 1 \]

  2. This simplifies to: \[ -2x = 4 \]

  3. Now, divide both sides by -2 to solve for \(x\): \[ x = \frac{4}{-2} = -2 \]

Thus, the solution to the equation \(2x - 1 = 4x + 3\) is: \[ x = -2 \]