Question

Determine if the following system of equations has no solutions, infinitely many

solutions or exactly one solution.
-3x + 2y = -8
3x – 2y = 8
A. No Solutions
B. Infinitely Many Solutions
C.One Solution

Answer 1

Explanation:

Combine the equations

-3x + 2y = -8

3x – 2y = 8

obtaining:

-3x + 2y = -8

3x – 2y = 8

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0 + 0 = 0

Since this is always true, this system has an infinite number of solutions (B)

Answer 2

B) Infinitely Many

Explanation:

0 = 0