which of the statements is true for the two equations below?
Equation A: 6+3x=3x-3
Equation B: 2(4x-1)=8x-2
A.Equation A has no solution and Equation B has an infinite number of solutions.
B.Equation A has an infinite number of solutions and Equation B has no solution.
C.Equation A and Equation B have an infinite number of solutions.
D. Equation A and Equation B have no solution.

Respuesta :

Equation A:

6 + 3x = 3x - 3    

This equation has no solution, no matter what number you plug into the equation, it will never = each other

[if you tried simplifying more]

9 + 3x = 3x         (added 3 on both sides, then subtracted 3x on both sides)

9 = 0

Equation B:

2(4x - 1) = 8x - 2      Distribute/multiply 2 into (4x - 1)

(2)4x - (2)1 = 8x - 2

8x - 2 = 8x - 2      

This will have an infinite number of solutions because whatever number you plugged in, they would always = each other since they are the same on both sides of the equation

[simplified]

8x = 8x       (add 2 on both sides, then divide 8 on both sides)

x = x

Your answer is A