Does the ordered pair (−1,6) satisfy the following system of inequalities?

Question

−4x+10y≥−7

y>5x/3−8

Answer 1

Yes, (-1,6) satisfies both inequalities

-4x+10y > -7

plug in the point, x=-1, y=6

-4(-1)+10(6)= 4+60= 64 > -7

plug in the point, x=-1, y=6

y>5x/3 -8

6>5(-1)/3-8 =-5/3-8 = -29/8 = -3 5/8 < 6

Answer 2

−4x+10y≥−7

y>5x/3−8

x = -1

y = 6

-4(-1)+10(6) ≥-7

4+60 ≥-7

64≥-7, TRUE

6>5(-1)/3-8

6>-5/3-8

*8 = 8/1 = 24/3*

6>-5/3 - 24/3

6>-29/3, TRUE

Yes, the ordered pair does solve the system of inequalities