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Select the statement that is true for solving the equation 10x = 90(1 point)

Responses

Multiply both sides by 10; x = 900.
Multiply both sides by 10; x = 900.

Divide both sides by 10; x = 900.
Divide both sides by 10; x = 900.

Multiply both sides by 10; x = 9
Multiply both sides by 10; x = 9

Divide both sides by 10; x = 9.
Divide both sides by 10; x = 9.
Question 2
Select the statement that is true for solving the equation x/13 = 39(1 point)
Responses

Multiply both sides by 13; x = 507
Multiply both sides by 13; x = 507

Multiply both sides by 13; x = 3
Multiply both sides by 13; x = 3

Divide both sides by 13; x = 3
Divide both sides by 13; x = 3

Divide both sides by 13; x = 507
Divide both sides by 13; x = 507
Question 3
Which statement is true to solve for x in the equation 14x = 56?(1 point)
Responses

Multiply both sides by 14; x = 784
Multiply both sides by 14; x = 784

Divide both sides by 14; x = 4
Divide both sides by 14; x = 4

Multiply both sides by 14; x = 4
Multiply both sides by 14; x = 4

Divide both sides by 14; x = 784

1 answer

Let's evaluate each question one by one.

Question 1: Solve the equation \(10x = 90\)
To solve for \(x\), we divide both sides by 10: \[ \frac{10x}{10} = \frac{90}{10} \implies x = 9 \] The correct statement is:
Divide both sides by 10; x = 9.

Question 2: Solve the equation \(\frac{x}{13} = 39\)
To isolate \(x\), we multiply both sides by 13: \[ x = 39 \times 13 = 507 \] The correct statement is:
Multiply both sides by 13; x = 507.

Question 3: Solve the equation \(14x = 56\)
To solve for \(x\), we divide both sides by 14: \[ \frac{14x}{14} = \frac{56}{14} \implies x = 4 \] The correct statement is:
Divide both sides by 14; x = 4.

To summarize:

  1. Divide both sides by 10; x = 9.
  2. Multiply both sides by 13; x = 507.
  3. Divide both sides by 14; x = 4.