# Math

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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 -

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 -

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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