Question

Solve the equation. SHOW your work. SHOW which properties of equality you used to solve each equation.

3( y + 4) = 24

Answer 1

y = 4

Explanation:

3(y+4) = 24 <- This is a linear equation so its solved as such

3y+12 = 24 <- Distribute the (PEMDAS)

-12 -12 <- Get y alone

3y = 12 <- Rewrite with y alone

`(3y)/(3)` =
`(12)/(3)` <- Divide both sides

y = 4

Answer 2

y = 4

Explanation:

We have to use the distributive property. Remember that the distributive property states that when expanding out a parentheses, you must find the sum of the product of the "outside term" with each of the "inside terms".

In this case, the "outside term" is 3 and the "inside terms" are y and 4. So, we need to multiply 3 by each of y and 4 and then add those together:

3(y + 4) = 24

3 * y + 3 * 4 = 24

3y + 12 = 24

Now, we subtract 12 from both sides to isolate the variable:

3y + 12 - 12 = 24 - 12

3y = 12

Finally, divide by 3 from both sides to get y alone:

3y/3 = 12/3

y = 4

Thus, y = 4.

Hope this helps!