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How can you solve the equation 4x = 2x - 1 graphically?

a) By plotting the lines and finding their intersection point
b) By using the quadratic formula
c) By simplifying the equation and solving for x
d) By using the Pythagorean theorem

2 Answers

4 votes

Answer: Option C

Hope this helps ✌️

User Edzer Pebesma
by
8.4k points
4 votes

Final answer:

To solve the equation graphically, plot y=4x and y=2x-1 on a graph, and find the x-coordinate of their intersection point, which represents the solution.

Step-by-step explanation:

To solve the equation 4x = 2x - 1 graphically, we can follow option a): By plotting the lines and finding their intersection point. This involves setting up two separate equations, y = 4x and y = 2x - 1, and plotting them on a graph to find where they intersect. The x-coordinate of their intersection point will be the solution to the original equation.

Option b), using the quadratic formula, is not suitable here since this is not a quadratic equation. Similarly, option d), the Pythagorean theorem, is irrelevant as it pertains to right triangles. While option c), simplifying the equation and solving for x, is a valid algebraic approach, we are specifically tasked with solving the equation graphically. Hence, option a) is the correct method.

User Eia
by
8.5k points

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