368,317 views
27 votes
27 votes
Solve this equation: 8(3x - 6) = 6(4x + 8) *

20
O
Solving this equation results in the statement - 48 = 48. Because this is a false
statement, the equation has no solution.
Solving this equation results in the statement 48 = 48. Because this is a true
statement, the equation has infinitely many solutions.
Solving this equation results in the statement -48 = 48. Because this is a false
statement, the equation has one solution.
Solving this equation results insthe statement 48 = 48. Because this is a true
statement, the equation has one solution.

User Scr
by
2.8k points

1 Answer

9 votes
9 votes

Hey there!

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

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

24x - 48 = 24x + 48

SUBTRACT 24x to BOTH SIDES

24x - 48 - 24x = 24x + 48 - 24

SIMPLIFY IT!

NEW EQUATION: -48 = 48

ADD 48 to BOTH SIDES

-48 + 48 = 48 + 48

NEW EQUATION: 0 = 96

Thus this makes your equation has

NO SOLUTION.

Therefore, your answer is:

Option A. Because this is a false

statement, the equation has no solution.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

User LaTeX
by
2.4k points