Question

07.03 MC) An equation is shown below: 9(3x – 16) + 15 = 6x – 24 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)

Answer 1

x=5

Explanation:

Alright you will need to use PEMDAS for this

• Parenthesis
• Exponent
• Multiplication
• Division
• Addition
• Subtraction ( Take note of this )

Step 1

9(3x – 16) + 15 = 6x – 24 You will remove parenthesis here

27x-129=6x-24

Step 2

Then subtract 6x,

27x-129=6x-24

21x-129=-24

Step 3

Then you add 129 to the sides,

21x-129=-24

21x=105

After that, you divide the sides by 21 so that you can get your answer

5

So therefore, your answer will be x=5

Answer 2

GIVEN

An equation is shown below :

9(3x − 16) + 15 = 6x − 24

TO DETERMINE

Part A: Write the steps you will use to solve the equation, and explain each step.

Part B: What value of x makes the equation true

EVALUATION

Part : A

Step : 1

Write down the given equation

9(3x − 16) + 15 = 6x − 24

Step : 2

Multiply 9 and (3x − 16)

27x - 144 + 15 = 6x - 24

Step : 3

Take variable in LHS and constants in RHS

27x - 6x = 144 - 15 - 24

Step : 4

Simplify it

21x = 105

Step : 5

Find value of x dividing both sides by 21

x = 5

Part : B

The required value of x = 5