Question

Choose the point which is a solution to the system of inequalities:

2x – y > 7
5x – y > 2

Answer 1

do you know how to solve it when it's equalities? like

2x - y = 7
5x - y = 2

Answer 2

@wtoliver Options from which to select? Please add, if so.

Answer 3

Yea, I know how to solve for Y and X I'm just confused how to choose the points.

And sorry for not putting them.
(–2, –5)

(–2, 5)

(2, –5)

(2, 5)

Answer 4

For a better draw you can use geogebra

Answer 5

Here is a better graphich. The region between the two lines must have the answers for the system.

Answer 6

@wtoliver

2x – y > 7
5x – y > 2
-----------

Test each of the points.

If (–2, –5) is a solution, then it has to satisfy both inequalities.

Answer 7

2x – y > 7
Test Point (-2,-5)

2(-2) - (-5) > 7 ----> ?

-4 + 5 > 7 -->?
1 > 7 --> No

So, the point (-2,-5) is not a solution.

No need to test the second inequality because the point does not satisfy the first inequality.

Answer 8

Next, look at the second point (-2,5). Note: y = 5 and x = -2.
lst inequality to check
2x – y > 7
Point to test (-2,5)

Is 2(-2) - 5 > 7
Is -4 - 5 > 7
Is -9> 7
No.

Go to next point to test and contine.