Final answer:
To solve the equation 2/3x + 1/5y = 1/3, multiply both sides by the LCD, isolate x, and simplify.
Step-by-step explanation:
To solve the equation 2/3x + 1/5y = 1/3, you can start by getting rid of the fractions by multiplying both sides of the equation by the LCD (Least Common Denominator), which is 15. You will then have 10x + 3y = 5. Next, isolate the variable 'x' by subtracting 3y from both sides of the equation, resulting in 10x = 5 - 3y. Lastly, divide both sides of the equation by 10 to solve for 'x', giving you the final answer of x = (5 - 3y)/10.