Question

How many solutions does the following system of equations have:

3x - 2y = 4
12x - 8y = 16
A. one solution
B. two solutions
C. no solution
D. infinite solutions

Answer 1

D. Infinite solutions

Explanation:

You divide the 2nd equation by 4.

3x - 2y = 4

(12x - 8y = 16)/4

3x - 2y = 4

3x - 2y = 4

This is exactly the same equation which means that the lines are forever intersecting which means that it has INFINTE solutions.