1) Yessenia simplified an expression as shown below: Given: x + 6 + 3(x + 4) Step 1: x + 9(x + 4) Step 2: x + 9x + 36 Step 3: 10x + 36 In which step did Yessenia make a mistake? What should she have done instead? Your answer cannot exceed 75 words.

Respuesta :

well she made a mistake in step 1. it had to go like this;

x + 6 + 3(x + 4)
x + 6 + 3x + 12

and so on to find the right answer. hope this helps, God bless!

Answer:

The mistake is done in step 1.

Correct answer is [tex]x+6+3(x + 4)=4x+18[/tex]

Step-by-step explanation:

Given : Yessenia simplified an expression [tex]x + 6 + 3(x + 4)[/tex]

Step 1 - [tex]x + 9(x + 4)[/tex]

Step 2 - [tex]x + 9x + 36[/tex]

Step 3 - [tex]10x + 36[/tex]

To find : In which step did Yessenia make a mistake? What should she have done instead?

Solution :

The mistake is done in step 1.

As she cannot add 6 and 3 because 3 is in multiple with (x+4).

The correct steps are,

Given : [tex]x + 6 + 3(x + 4)[/tex]

Step 1 - Multiply 3 under bracket,

[tex]x + 6 + 3x +12[/tex]

Step 2 - Add like terms,

[tex]4x+18[/tex]

Therefore, The required result is [tex]x+6+3(x + 4)=4x+18[/tex]