Question

Two lines, A and B, are represented by the equations given below:

Line A: 2x + 2y = 8
Line B: x + y = 4

Which statement is true about the solution to the set of equations? (5 points)


It is (8, 4).
It is (4, 8).
There is no solution.
There are infinitely many solutions.

Answer 1

The person above me is incorrect the correct answer is There are infinitely many solutions.

Explanation:

Answer 2

Given:
Line A: 2x + 2y = 8
Line B: x + y = 4

x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8

y = 4 - x
2x + 2(4-x) = 8
2x + 8 - 2x = 8
0 = 0

There is no solution.