## Spring98 one year ago Two lines, A and B, are represented by the equations given below: Line A: x + y = 2 Line B: 2x + y = 4 Which statement is true about the solution to the set of equations? There are infinitely many solutions. There are two solutions. There is one solution. There is no solution.

1. Loser66

1soln

2. Spring98

How do you know?

3. Loser66

good!!! they have different slope --> they intersect at some where. With 2 lines: only possibilities: 1) // (no solution) 2) exactly the same (many solutions) \3) 1 solution No way to get 2 solutions.

4. Loser66

Algebraic way: $$\begin{cases}x+y=2\\2x+y=4\end{cases}$$ subtract them together x = 2, hence y = 0

5. Spring98

K that's better! That's why I need to know because some people give wrong answers.

6. Spring98

Or help.

7. Loser66

ok!! whatever, as long as you want to study, I am ok. Don't take the free answer. It's not good for the long run

8. Spring98

Thanks for helping me!

9. Loser66

yw