Question

Mr. Brown is creating examples of systems of equations. He wants to have a system of equations with infinite solutions that includes the equation 5x + 2y = 8. Which equation could Mr. Brown use to complete the system so that it has infinite solutions?

A. 2x + 5y = 8
B. 15x + 6y = 21
C. 1.25x +0.5y = 2
D. 6.5x + 3.5y = 9.5

Answer 1

infinite solutions means the equations will have to be the same line.
5x + 2y = 8...divide everything by 4
5/4x + 2/4y = 8/4 =
1.25x + 0.5y = 2 < == this equation is the same line resulting in infinite solutions

Answer 2

C. 1.25x + 0.5y = 2

Explanation:

Mr. Brown wants to have a system of equations with infinite number of solutions.

He has one equation 5x + 2y = 8.

If the system have a infinity number of solutions, then the system of equations must be the same.

So we need to find the equation which is equivalent to 5x + 2y = 8

To find, we can divide the equation by 4 on both sides.

If we divide or multiply by the same number, the equation will remains the same.

5/4x + 2/4y = 8/4

1.25x + 0.5y = 2

Therefore, the answer is C. 1.25x + 0.5y = 2