How many solutions does 3/4(24-16x)=-2/3(18x-27) have?

Question

asked Aug 5, 2020 15.0k views

1 Answer

Vishal Patel · Answer 1 · 2020-08-09T16:46:14+0000

Answer:

Explanation:

Answer: An infinite number

Multiply both sides of the equation by 12

12 [ 3/4 (24 - 16x) = - 2/3 (18x - 27) ]

3*3(24 - 16x) = - 2 * 4 (18x - 27)

9 ( 24 - 16x) = - 8(18x - 27)

Remove the brackets.

216 - 144x = - 144x + 216

Any value for x will preserve the equality. Nice problem.