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Home Q & A Board Science-Related Homework Help Mathematics
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iliya1 iliya1
wrote...
11 years ago
Which ordered pair is a solution of the system of linear inequalities
x - y > 6 and 3x + y < 10?

A. (0,0)
B. (3, -4)
C. (4, -2)
D. (6, -1)
How would you solve this problem if you did not have the multiple choice answers?
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wrote...
#1
11 years ago
substitute x and y into each equation!!

the answer is B.

A: 0 - 0 > 6          incorrect

B. 3 - -4 > 6         correct
    3(3) + -4 < 10   correct

C: 4 + 2 > 6        incorrect

D: 6 + 1 > 6        correct
    3(6) + -1 < 10  incorrect
wrote...
#2
11 years ago
Graph them.

Solve x - y > 6

-y > -x + 6

y < x - 6

y < -3x + 10

So whatever points fall into a region shaded by both lines are the answer.

I hope this information was very helpful.
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