Solve for X in the Equation: 1/3x = 9

Question

Solve for X:

13x=9 \frac{1}{3}x=9

Video Solution

Solution Steps

00:00 Solve
00:03 We want to isolate the unknown X
00:08 To eliminate the fraction, multiply by the denominator
00:16 Let's arrange the equation so that one side has only the unknown X
00:28 Let's simplify what we can
00:35 And this is the solution to the question

Step-by-Step Solution

To solve the equation 13x=9\frac{1}{3}x = 9, we need to isolate the variable xx. To accomplish this, we can multiply both sides of the equation by 3, the reciprocal of 13\frac{1}{3}.

Step-by-step solution:

  • Step 1: Multiply both sides by 3.
    (3×13)x=3×9\left(3 \times \frac{1}{3}\right)x = 3 \times 9
  • Step 2: Simplify the left side.
    This gives us 1x=271x = 27, since (3×13)=1\left(3 \times \frac{1}{3}\right) = 1.
  • Step 3: Conclude that x=27x = 27.

Therefore, the solution to the equation is x=27 x = 27 . This matches choice number 1 from the provided options.

Answer

27