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) Your answer:
Answers
SOLUTION
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
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x=5
Step-by-step 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