Question

Consider the equation 40x - 25y = 15

David wrote a second equation to create a system that has infinitely many solutions. Which of these could be the equation that David wrote?

A) 8x - 5y = 3
B) 8x + 5y = 3
C) 8x + 5y = -3
D) -8x + 5y = -3

Answer 1

A) 8x - 5y = 3

Explanation:

To create infinite solutions, the equation has to be the same line

First we can reduce the equation by dividing by 5

40x -25y =15

40/5 x -25/5 y =15/5

8x-5y =3

This is the same line , so if this is the second equation, it will give us infinite solutions