Question

Solve this equation. Does the equation have one solution, no solution, or infinitely many solutions? Use the drop-down menus to explain your answer. 8(3x – 6) = 6(4x + 8) Solving the equation results in the statement _Because this is a _ statement, the equation has _

Answer 1

Answer:

There are no solutions.

Step-by-step explanation:

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

→ Expand the brackets

24x - 48 = 24x + 48

→ Subtract 24x from both sides

There is no x's left therefore there are no solutions.

Answer 2

Answer:

The equation has no solution.

Step-by-step explanation:

Let's actually try solving this equation:  8(3x – 6) = 6(4x + 8)

Begin by performing the indicated multiplication.  We get:

24x - 48 = 24x + 48

Subtracting 24x from both sides, we get -48 = 48, which is never true.

The equation has no solution.