Question

1. Two lines, A and B, are represented by the following equations: Line A: 2x + y = 6 Line B: x + y = 4 Which statement is true about the solution to the set of equations? (4 points) It is (2, 2). There are infinitely many solutions. It is (4, 0). There is no solution.

Answer 1

2x+y= 6 -> y= -2x+6
X+y= 4 -> y= -x +4


Try (2,2)

1. 2= -2(2) + 6
2 = 2

2. 2= -2 + 4
2=2

So (2,2) is satisfied both equations. Let see if the others do too.

Try (4,0)

1. 0= -2(4) + 6
0=0

2. 0= 4+4

So 4,0 is not satisfied both

(2,2) is the answer

Hope this helps!