Question

2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions

Answer 1

D. Infinitely many solutions.

Explanation:

Answer 2

D. infinitely many solutions

Explanation:

to find how many solutions the equation have, we can solve it

here's the given equation:

2(2x-3)+6=4x

our goal is to isolate the variable onto one side

do the distributive property shown in the equation (multiply both 2x and -3 by 2)

4x-6+6=4x

combine like terms (add -6 and 6)

4x=4x

subtract 4x from both sides, as we still have the variable on both sides

0=0

0 is always equal to 0; that's an identity

if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions