If 7x + y = 25 and 6x + y = 23, what is the value of x?
Possible Answers:
6
7
2
11
20
Correct answer:
2
Explanation:
You can subtract the second equation from the first equation to eliminate y:
7x + y = 25 – 6x + y = 23: 7x – 6x = x; y – y = 0; 25 – 23 = 2
x = 2
You could also solve one equation for y and substitute that value in for y in the other equation:
6x + y = 23 → y = 23 – 6x.
7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2
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