103k views
1 vote
Solve this equation: 8(3x - 6) = 6(4x + 8)

A- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has a unique solution.

B- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has infinitely many solutions.

C- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

D- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has a unique solution.

Please help this is for today

1 Answer

6 votes

Answer:

C. Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

Explanation:

8(3x - 6) = 6(4x + 8)

24x - 48 = 24x + 48

minus 24x from both sides and you get -48 = 48

A false statement means one side does not equal the other. False statement always means no solution

you can solve this equation for x, but looking at the answers it's not what the question is asking for

User Belval
by
5.2k points