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

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.

Answer 2

Answer: c

Step-by-step explanation: