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Select the statement that is true for solving the equation x/7 = 14(1 point)

Responses

Multiply both sides by 7; x = 2
Multiply both sides by 7; x = 2

Multiply both sides by 7; x = 98.
Multiply both sides by 7; x = 98.

Divide both sides by 7; x = 98.
Divide both sides by 7; x = 98.

Divide both sides by 7; x = 2.
Divide both sides by 7; x = 2.
Question 2
Which statement is true to solve for x in the equation 2x = 16(1 point)
Responses

Multiply both sides by 2; x = 32.
Multiply both sides by 2; x = 32.

Multiply both sides by 2; x = 8.
Multiply both sides by 2; x = 8.

Divide both sides by 2; x = 32.
Divide both sides by 2; x = 32.

Divide both sides by 2; x = 8.
Divide both sides by 2; x = 8.
Question 3
Select the statement that is true for solving the equation 6x = 36(1 point)
Responses

Multiply both sides by 6; x = 216.
Multiply both sides by 6; x = 216.

Divide both sides by 6; x = 6.
Divide both sides by 6; x = 6.

Multiply both sides by 6; x = 6
Multiply both sides by 6; x = 6

Divide both sides by 6; x = 216.

1 answer

Here are the correct answers for each question:

Question 1: For the equation \( \frac{x}{7} = 14 \):

  • To isolate \( x \), multiply both sides by 7: \[ x = 14 \times 7 = 98 \]
  • Therefore, the correct statement is: Multiply both sides by 7; x = 98.

Question 2: For the equation \( 2x = 16 \):

  • To isolate \( x \), divide both sides by 2: \[ x = \frac{16}{2} = 8 \]
  • Therefore, the correct statement is: Divide both sides by 2; x = 8.

Question 3: For the equation \( 6x = 36 \):

  • To isolate \( x \), divide both sides by 6: \[ x = \frac{36}{6} = 6 \]
  • Therefore, the correct statement is: Divide both sides by 6; x = 6.

So, the responses to your questions are:

  1. Multiply both sides by 7; x = 98.
  2. Divide both sides by 2; x = 8.
  3. Divide both sides by 6; x = 6.