Question

Two numbers have a sum of 9 when added together. The same two numbers have a product of 20 when multiplied together. Complete the table and write a system of equations to represent the two numbers.

Answer 1

`x+y=9`

`xy=20`

Explanation:

If we call one number
`x` and the other
`y`, we have the equations:

`x+y=9` (the sum of the numbers is 9)

`xy=20` (the product of the numbers is 20)

This would be the system of equations corresponding to the situation described.

the solutions to the system are

`x=4` and
`y=5`

because

`4+5=9\\4*5=20`

(these values can also be found by clearing a variable from the first equation and substituting in the second one)

Answer 2

The numbers are 5 and 4. I don’t know what you mean by “complete the table and write a system of equations to represent the two numbers”. But we can easily check that 5+4=9, and 5•4=20. let me know if i helped :)