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for questions 1 and 2, determine the 2 steps needed to solve for the va…

Question

for questions 1 and 2, determine the 2 steps needed to solve for the variable. select, in order, the ope number to apply to both sides of the equation.
question 1: 8 = 9p - 11
first select one select one on both sides of the equation.
then select one select one on both sides of the equation.
(multiply, subtract, divide, add options)
questio
first select one select one on both sides of the equation.
then select one select one on both sides of the equation.

for each of the following questions, solve for the variable. round to the nearest tenth if needed.
question 3: \\(\frac{w + 7}{9} = 6\\)
answer:
question 4: \\(\frac{w}{5} - 10 = 2\\)
answer:
question 5: 8 = 9p - 11

Explanation:

Question 1

Step1: Add 11 to isolate term with $P$

$8 + 11 = 9P - 11 + 11$
$19 = 9P$

Step2: Divide by 9 to solve for $P$

$\frac{19}{9} = \frac{9P}{9}$
$P = \frac{19}{9}$

Question 3

Step1: Multiply by 9 to eliminate denominator

$\frac{W+7}{9} \times 9 = 6 \times 9$
$W + 7 = 54$

Step2: Subtract 7 to solve for $W$

$W + 7 - 7 = 54 - 7$
$W = 47$

Question 4

Step1: Add 10 to isolate term with $W$

$\frac{W}{5} - 10 + 10 = 2 + 10$
$\frac{W}{5} = 12$

Step2: Multiply by 5 to solve for $W$

$\frac{W}{5} \times 5 = 12 \times 5$
$W = 60$

Question 5

Step1: Add 11 to isolate term with $P$

$8 + 11 = 9P - 11 + 11$
$19 = 9P$

Step2: Divide by 9 to solve for $P$

$\frac{19}{9} = \frac{9P}{9}$
$P = \frac{19}{9} \approx 2.1$

Answer:

  1. First: add 11; Then: divide by 9
  2. $W = 47$
  3. $W = 60$
  4. $P \approx 2.1$