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5 votes
3 (q − 7) = 27

EXPLAIN PLEASE AND TYSM

2 Answers

3 votes


  • \frak{3(q - 7) = 27}


\:


  • \frak{3q - 21 = 27}


\:


  • \frak{3q = 27 + 21}


\:


  • \frak{3q = 48}


\:


  • \frak{q = \cancel{ (48)/(3)} }


\:


  • \underline{ \boxed{ \frak{ \red{ \: q = 16 \: }}}}


\:

hope it helps! :)

User Lordmegamax
by
7.5k points
2 votes

Answer: q = 16

Explanation:

When given the equation 3(q - 7) = 27, you would solve for the variable.

The variable in this equation is q, so we need to isolate the variable.

Solving process:

3(q - 7) = 27

lets distribute, due to the orders of PEMDAS.

PEMDAS stands for: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

3(q - 7) = 27

distributing is multiplying the number correlated outside of the parenthesis with the inside components.

3q - 21 = 27

lets add 21 to both sides

3q = 48

now lets divide by 3 (we are trying to get q by itself)

q = 16

----

To check if your solution is correct, you replace the value (16) of the variable (q) within the original equation:

3 (16 − 7) = 27

Following PEMDAS you get:

3(9) = 27

27 = 27 (meaning that the solution is correct)

Thank you.

User Sanjay Kattimani
by
7.6k points