Which point represents a solution to the system y<=1/5x, y>4x-3? Select all that apply. (5, 1) (0, 0) (-2, -3) (2, 5)

The answers are (0,0) and (-2,-3). The explanation is below and let me know if you need any clarifications, thanks!

Point (5,1):

Let's test this point for the first inequality of the system

1 is equal to 1; thus this point works for the first inequality. Now, let's test the point for the second inequality of the system

Since 1 is NOT greater than 17, this point does not satisfy the second inequality. Thus, point (5,1) is not a solution

Point (0,0):

Let's test this point for the first inequality of the system

0 is equal to 0; thus this point works for the first inequality. Now, let's test the point for the second inequality of the system

0 is greater than -3. This point satisfies both inequalities, making it a solution to the system.

Point (-2,-3):

Let's test this point for the first inequality of the system

This inequality is true; thus, this point satisfies the first inequality. Now, let's test the point for the second inequality of the system

-3 is greater than -11. This point satisfies both inequalities, making it a solution to the system.

Point (2,5):

Let's test this point for the first inequality of the system

This inequality is NOT true. Since this point does not satisfy the first inequality, it cannot be a solution to the system.

~ Padoru

step-by-step explanation:

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct