Plz help fast Question 1(Multiple Choice Worth 5 points) (8.01 LC) Two lines, A and B, are represented by the equations given be

Question

3 years ago

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Plz help fast Question 1(Multiple Choice Worth 5 points) (8.01 LC) Two lines, A and B, are represented by the equations given be

low: 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).

Mathematics

1 answer:

Ivenika [448] · Answer 1 · 2022-06-27T11:24:23+03:00

Ivenika [448]3 years ago

6 0

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.