Question

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

Line A: x + y = 6
Line B: x + y = 4

Which statement is true about the solution to the set of equations?
step by step how it was solved
There are infinitely many solutions.
There is no solution.
It is (6, 4).
It is (4, 6).

Answer 1

there is no solution

Explanation:

x + y = 6 → (1)

x + y = 4 → (2)

subtract (2) from (1) term by term

(x - x) + (y - y) = 6 - 4

0 + 0 = 2

0 = 2 ← false statement

this false statement indicates the equations have no solution