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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.

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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 :)

Answer:

[tex]x+y=9[/tex]

[tex]xy=20[/tex]

Step-by-step explanation:

If we call one number [tex]x[/tex] and the other [tex]y[/tex], we have the equations:

[tex]x+y=9[/tex] (the sum of the numbers is 9)

[tex]xy=20[/tex] (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

[tex]x=4[/tex] and [tex]y=5[/tex]

because

[tex]4+5=9\\4*5=20[/tex]

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

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