Final answer:
To find a problem that results in the answer 7xy, you could solve for z in the equation z = 14xy and then divide by 2 to get z/2 = 7xy, with the steps involving eliminating terms where possible and checking the answer for reasonability.
Step-by-step explanation:
To find a problem with the answer 7xy, one approach is to consider creating an algebraic expression that simplifies to 7xy. An example of such a problem is solving for z if z = 14xy, where 14 is divisible by 7. If we divide both sides of this equation by 2, we then obtain z/2 = (14xy)/2, which simplifies to z/2 = 7xy. This indicates that if z is twice the product of 7xy, then z/2 will equal 7xy when solving for z.
To ensure the solution is correct, eliminate terms wherever possible to simplify the algebra and then check the answer to see if it is reasonable.
For instance, if you are given x=2 and y=3, substituting these values into the expression 7xy gives us 7*2*3=42. Then if z is supposed to be twice that amount, we get z=84, and dividing it by 2 indeed gives us 42, confirming that z/2 equals 7xy as expected.