Posted by **tyler** on Friday, February 22, 2013 at 12:50pm.

The sum of twice a number and another number is 24. The difference of twice the first number and the other number is 12. Which system would model this situation, and what is the solution?

- Math -
**JJ**, Friday, February 22, 2013 at 12:53pm
x = 1st number and y = second number

2x + y = 24

2x - y = 12

Can you finish from here? Add the two equations to eliminate y and solve for x.

Then find y.

Be sure to check both x and y in both equations to be sure you are correct.

- Math -
**Damon**, Friday, February 22, 2013 at 1:00pm
2 x + y = 24

y - 2x = 12

4 x = 12

x = 3

y = 24 - 6 = 18

check

6 + 18 = 24 yes

18 - 6 = 12 yes

note you could have written

2 x + y = 24

2 x - y = 12

2 y = 12

y = 6

2x + 6 = 24

x = 9

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