Question

Which of the following is part of the solution of the system?

y-x<=-5, y-2x>-5

a) (0,1)
b) (-1,-6)

Answer 1

Neither of them are solutions unless you had a typo in the question.

Explanation:

1) plug in the known values into both of the equations

First Coordinate:

y-x
`\leq`-5
(1)-(0)
`\leq`-5
1
`\leq`-5 which is not true.
In this case, we do not need to plug in (0,1) into both of the equations because the coordinate cannot be a solution unless the coordinate works in BOTH of the equations.

Second Coordinate:

1) y-x
`\leq`-5
(-6)-(-1)
`\leq`-5

(-6)+1
`\leq`-5 --> It becomes a +1 because two negatives make a positive

-5
`\leq`-5 - -> which means this is true because -5 is less than or equal to -5

2) y-2x>-5
(-6)-2(-1)>-5

-6(2)>-5
-12>-5 NOT TRUE

ANSWER: Neither of them are solutions unless you had a typo in the question.