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
0

−5
negative 5

−0.75

Answer 1

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

1. Start by isolating the variable \( x \):

\[
2x - 1 = 4x + 3
\]

2. Subtract \( 2x \) from both sides:

\[
-1 = 2x + 3
\]

3. Next, subtract 3 from both sides:

\[
-1 - 3 = 2x
\]
\[
-4 = 2x
\]

4. Now, divide both sides by 2:

\[
x = -2
\]

The solution to the equation is \( \boxed{-2} \).