Question

Which point is a solution to the following system of inequalities?
x + 3y –6
2x – 5y > 10

Answer 1

You forgot to supply the answer choices and your first inequality is missing the inequality sign.

Answer 2

(3, 0)
(4, –2)
(–3, –2)
(1, 3)

Answer 3

thats because its > but also underlined.. oops

Answer 4

You check each point to see if it satisfies both inequalities.


For example, let's check (3,0)


x + 3y > –6

3 + 3*0 > –6

3 + 0 > -6

3 > -6 ... true


2x – 5y > 10

2*3 – 5*0 > 10

6 - 0 > 10

6 > 10 ... false


So (3,0) is NOT a solution

Answer 5

I think the answer is 1,3?

Answer 6

Let's check it


x + 3y > –6

1 + 3*3 > –6

1 + 9 > -6

10 > -6 ... true

2x – 5y > 10

2*1 – 5*3 > 10

2 - 15 > 10

-13 > 10 ... false


So (1,3) is NOT a solution

Answer 7

okay it has to be 4, -2 if its not i give up on math

Answer 8

Let's check this one as well

x + 3y > –6

4 + 3*(-2) > –6

4 - 6 > -6

-2 > -6 ... true

2x – 5y > 10

2*4 – 5*(-2) > 10

8 + 10 > 10

18 > 10 ... true


So (4,-2) is indeed a solution

Answer 9

WHOOHOO

Answer 10

Third times the charm :), but no worries, you'll a better hang of it with more practice.