question 4 (25 points)
find the values of x and y that make the
2x + 8i = 6-(2y)

If 7x + y = 25 and 6x + y = 23, what is the value of x?

Possible Answers:

6

7

2

11

20

Correct

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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