Final answer:
To find the value of xy, we need to solve the given equations for x and y. Solving for x and y yields x = 3 and y = 111. Therefore, the value of xy is 333.
Step-by-step explanation:
To find the value of xy, we need to solve the given equations for x and y. From the first equation, we can rewrite it as x8y7 = 32 x 37 = 9 x 37 = 333. Now, divide both sides of the equation by the second equation x7y6 = 3, we get x(y/y)6 = 3. Simplifying this equation, we have x7y = 3. Now, substitute the value of x7y in the first equation, which gives us 333/y = 3. Cross multiply to solve for y, we get 333 = 3y. Dividing both sides by 3, we get y = 111. Substitute this value back into the second equation to find x. x7 * 1116 = 3. Simplifying and solving for x, we find that x = 3. Therefore, the value of xy is (3)(111) = 333.