Question

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.

Answer 1

1soln

Answer 2

How do you know?

Answer 3

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.

Answer 4

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

Answer 5

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

Answer 6

Or help.

Answer 7

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

Answer 8

Thanks for helping me!

Answer 9

yw