Question

Question 1

Fill in the blank question.
The sum of two numbers is 20.5. Their difference is 6.5. Find the two numbers.



Part A



Write a system of equations that represents the situation.



x+y=_____



x−y=_____



Part B



Solve the system of equations. Express the coordinates as decimals if necessary.



( _____, _____)



Part C



Interpret the solution.



The greater number is
____________________
and the lesser number is
____________________

Answer 1

x = 13.5

y = 7

(13.5,7)

what the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect

Explanation:

x + y = 20.5

x - y = 6.5

if we add the two equations we get:

2x = 27

x = 13.5

y = 20.5 - 13.5

y = 7

solution as an ordered pair:

(13.5,7)

What the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect