Question

Plz help fast Question 1(Multiple Choice Worth 5 points) (8.01 LC) Two 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? There are infinitely many solutions. There is no solution. It is (6, 4). It is (4, 6).

Answer 1

Answer:

(B) There is no solution.

Step-by-step explanation:

Given the two lines A and B where:

$L ine A: x + y = 6 \implies y=6-x\\ Line B: x + y = 4 \implies y=4-x\\ Therefore: \\6-x=4-x\\-x+x=4-6\\0=-2\\ Since, 0\neq -2, there is no solution.$

The correct option is B.