The sum of two numbers is 50 and their difference is 6. What is their product?
I need to find two numbers x and y such that x + y = 50 and x - y = 6. One way to do this is to use elimination, by adding or subtracting the equations to eliminate one of the variables. If I add the equations, I get 2x = 56, so x = 28. Then I can plug x = 28 into either equation to find y. For example, using the first one, I get 28 + y = 50, so y = 22. Now that I have x and y, I can find their product by multiplying them. So the product is 28 * 22, which is 616.

