Solve the system of equations. 4x + 2y = –14 6x + 3y = –22 (0, –7), (–1, –6), no solutions, infinitely many solutions. plz and you

no solutions

Step-by-step explanation:

4x + 2y = –14

6x + 3y = –22

Divide the first equation by 2 and the second equation by 3

4x/2 + 2y/2 = –14/2     2x +y = -7

6x/3 + 3y/3 = –22/3    2x + y = -22/3

The left hand sides are the same but the right hand sides are different.

Multiply the second equation by -1

2x+y = -7

-2x -y = 22/3

0 = -7+22/3

0 = 1/3

This is never true, so there are no solutions