Does 6(2x-6)=-7(-2x+4) have no solution or infinite solution

asked Jul 15, 2023 224k views

3 votes

4.2k points

Please log in or register to add a comment.

7 votes

Answer:

It does not.

Explanation:

$6(2x - 6) = -7(-2x + 4); \\ 6 * 2x - 6 * 6 = -7 * (-2x) + (-7) * 4; \\ 12x - 36 = 14x - 28; \\ 14x - 12x = -36 + 28; \\ 2x = -8; \\ x = -4.$

$\{-4\}$ is our set of solutions. Answering your question, it does not.

5.1k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.9m questions

6.3m answers