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

2 Answers

3 votes

Answer:

B, No Solutions

Explanation:

Solve the system of equations. 4x + 2y = –14 6x + 3y = –22 (0, –7), (–1, –6), no solutions-example-1
User Themasterhimself
by
7.9k points
3 votes

Answer:

no solutions

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

User Tatsuya Fujisaki
by
7.5k points