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?

Keywords:

Equation, simplified, variable, compare

For this case, we have an equation of the form, where . The equation was simplified and we want to find the value ofwhen the variable and compare the result of both equations. So:

(1)

We apply distributive property to simplify, taking into account that:

(2)

If , we substitute in the original equation and in the simplified equation:

1)

2)

Thus, when is substituted in both expressions, the result is 6.

For and , substituting we have the result is 6.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1