Question

The second of two numbers is 5 more than twice the first. The sum of the numbers is 44. Find the numbers by writing and solving a system of equations.

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Answer 1

19 1/2 and 24 1/2



x + 5 = y

x + y = 44

Substitute x + 5 for y.

x + x + 5 = 44

2x + 5 = 44

Subtract 5 from both sides.

2x = 39

Divide both sides by 2.

x = 19 1/2

Now, substitute 19 1/2 in for x.

19 1/2 + 5 = y

24 1/2 = y