How many solutions does this system have?

2 x minus 4 y = 8. x + y = 7.

The system has solution(s).

1

Step-by-step explanation:

There can be 0, 1 or infinitely many solutions. 0 if they are parallel and are different lines, 1 if the slopes are different, and infinitely many if they are the same line.

2x - 4y = 8

x + y = 7

Change to y = mx + b

y = (1/2)x - 2

y = -x + 7

The slopes are different so there is 1 solution.

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