To find the value of x in the equation 2x + 3y = 36, we start by substituting the given value of y. Since we know that y = 6, we can replace y in the equation:
2x + 3(6) = 36
Next, we calculate 3(6), which equals 18. Substituting that back into the equation gives us:
2x + 18 = 36
Now, to isolate the term with x, we can subtract 18 from both sides:
2x = 36 – 18
This simplifies to:
2x = 18
Finally, to solve for x, we divide both sides by 2:
x = 18 / 2
This gives us:
x = 9
Therefore, the value of x when y is 6 is 9.