Question

Which point is a solution to the following system of inequalities?

x – 2y > 10
3x + 4y < 10

(1, 10)

(2, –3)

(4, –4)

(–2, –5)

Answer 1

I have to use substitution right?

Answer 2

Yes, I believe you have to, and if that is the case, the correct point would be (4,-4).

Answer 3

Can you explain to me how to do it?

Answer 4

If you substitute the coordinates into their respective variables (x and y) you will see that they fit the inequalities. E.g. (4,-4) for x - 2y > 10. = (4) -2(-4) > 10. = 4 + 8 > 10. = 12>10 (Which is true)

Answer 5

Is there a specific method which you were taught to use to solve these problems, because it is pretty much trial and error.

Answer 6

i mean like i can do what you just did but i think there is a way my teacher wanted me to do it but i haven't done it in forever so i dont quite remember

Answer 7

I would just suggest that you go through the notes you made on this then, or search up the topic on the internet and watch some educational videos for it.

Answer 8

Otherwise I don't really know how else you would do this, because if there is a method I have probably forgotten it as well.

Answer 9

Okay thank you(:

Answer 10

No problem :)