How do you find the value of x in the equation 2x + 3y = 36 when y is equal to 6?

To find the value of x in the equation 2x + 3y = 36 when y = 6, we can follow these steps:

  1. Start by substituting the value of y into the equation. Since y = 6, we replace y in the equation:

    2x + 3(6) = 36

  2. Now, calculate 3(6):
    3 * 6 = 18

  3. Substituting this back into the equation gives:

    2x + 18 = 36

  4. To isolate 2x, subtract 18 from both sides of the equation:

    2x = 36 – 18

  5. Calculate the right side:

    2x = 18

  6. Next, divide both sides by 2 to find the value of x:

    x = 18 / 2

  7. Solving this gives:

    x = 9

Therefore, the value of x in the equation when y is equal to 6 is 9.

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