Question

2(3a - 12) = 3(2a - 8)
One solution
Infinitely many solutions
No solutions

Answer 1

Answer:

Infinitely many solutions

Explanation:

2(3a - 12) = 3(2a - 8)

6a - 24 = 6a - 24

Infinitely many solutions

(Because both expressions end up with the same distribution)

Answer 2

Answer: Infinitely many solutions

Explanation:

Given expression

2 (3a - 12) = 3 (2a - 8)

Expand parentheses and apply the distributive property

2 · 3a - 2 · 12 = 3 · 2a - 3 · 8

6a - 24 = 6a - 24

Subtract 6a on both sides

6a - 24 - 6a = 6a - 24 - 6a

-24 = -24

Add 24 on both sides

-24 + 24 = -24 + 24

0 = 0

Therefore, it has infinitely many solutions since both sides are identical which means any terms will make the equation true.

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