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
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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