Question

How many solutions exist for the given equation?

1/2(x+12) = 4x - 1

Zero
One
Two
Infinitely many

Answer 1

One

Explanation:

`(1)/(2) (x +12) = 4x - 1 \\ \\ (1)/(2) x + (1)/(2) * 12 = 4x - 1 \\ \\ (1)/(2) x + 6 = 4x - 1 \\ \\ 6 + 1 = 4x - (1)/(2) x \\ \\ 7 = (8x - x)/(2) \\ \\ 7 = (7)/(2) x \\ \\ 7 * 2 = 7x \\ \\ x = (7 * 2)/(7) \\ \\ x = 2`

So, there exist only one solution for the given equation.

Answer 2

1

Explanation: