Question

Use Elimination
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?
A.
2(x + y) = 24
2(x – y) = 12
Solution: (9, 6)
B.
2x + y = 24
2x – y = 12
Solution: (9, 6)
C.
2(x + y) = 24
2x – y = 12
Solution: (6, 9)
D.
2x + y = 24
2(x – y) = 12
Solution: (6, 9)

Answer 1

A number is x, for example.
Twice another number is 2y.

You need equations with x and 2y, or 2x and y.

Answer 2

Never mind, I figured it out. Its B.

Answer 3

Correct.

Answer 4

Thank you :) I did the wrong side of the equation. So i just solved it from the other side and got (9,6).