Question

What is the solution to this system of equations? ​

Answer 1

C

Explanation:

Add -4y to both sides

2x+4y-4y=-2-4y

2x=-4y-2

x=-2y-1. Now you substitute this to the second equation.

3(-2y-1)+6y=-3

-6y-3+6y=-3

-3=-3, so now add 3 to both sides

0=0, so infinite solutions.

Answer 2

C. Infinite solutions

Explanation:

2x+4y=-2

3x+6y=-3

3(2x+4y=-2)

-2(3x+6y=-3)

6x + 12y = -6

-6x - 12y = 6

This is zero, meaning infinite solutions.