Question

Determine if the equation has no solution, one solution, or infinitely many solutions.

7(12 - 2 x) =4(3 - 3 x)

A. Infinitely many solutions

B.One solution

C.No solution

Answer 1

OPTION B: ONE SOLUTION

Explanation:

The given equation is: 7(12 - 2x) = 4(3 - 3x)

Using distributive property, we get:

7.12 - 7.2x = 4.3 - 4.3x

⇒ 84 - 14x = 12 - 12x

⇒ 72 = 2x

⇒ x = 36, the only value of x.

So, we say that the given equation has a unique solution.