Question

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions?

Answer 1

The value of each expression is 6.

Explanation: right on edg.

Answer 2

Keywords:

Equation, simplified, variable, compare

For this case, we have an equation of the form
`y = f (x)`, where
`f (x) = 3 (4x - 6)`. The equation was simplified and we want to find the value of
`f (x)`when the variable
`x = 2` and compare the result of both equations. So:

`f (x) = 3 (4x - 6)`(1)

We apply distributive property to simplify, taking into account that:
`a (b + c) = ab + ac`

`f (x) = 12x-18` (2)

If
`x = 2`, we substitute in the original equation and in the simplified equation:

1)
`f (2) = 3 (4 (2) - 6) = 3 (8-6) = 3 * 2 = 6`

2)
`f (2) = 12 (2) -18 = 24-18 = 6`

Thus, when
`x = 2` is substituted in both expressions, the result is 6.

Answer:

For
`f (x) = 3 (4x - 6)` and
`f (x) = 12x-18`, substituting
`x = 2` we have the result is 6.