Question

Which equation is equivalent to the equation (6x + 9 = 12)?

a) (x + 9 = 6)
b) (2x + 3 = 4)
c) (3x + 9 = 6)
d) (6x + 12 = 9)

Answer 1

The equation (6x + 9 = 12) can be solved by isolating the variable x on one side of the equation. The equivalent equation is (x = 1/2).

Step-by-step explanation:

The equation (6x + 9 = 12) can be solved by isolating the variable x on one side of the equation. To do this, we can subtract 9 from both sides of the equation:

6x + 9 - 9 = 12 - 9

6x = 3

To find the equation that is equivalent to this, we need to divide both sides of the equation by 6:

6x/6 = 3/6

x = 1/2

So, the equation (x = 1/2) is equivalent to the original equation (6x + 9 = 12).