Final answer:
To solve the equation x/6 + x/3 = 72, we can combine the fractions and solve for x. The value of x that satisfies the equation is 144.
Step-by-step explanation:
To solve the equation x/6 + x/3 = 72, we need to find the value of x that satisfies the equation. To do this, we'll first combine the fractions by finding a common denominator, which is 6.
So the equation becomes: 2x/6 + x/6 = 72.
Now, we can add the fractions together: (2x + x)/6 = 72.
Next, we can simplify the equation: 3x/6 = 72.
To get rid of the denominator, we can multiply both sides of the equation by 6: 3x = 432.
Finally, we can solve for x by dividing both sides of the equation by 3: x = 144.