Which point would be a solution to the system of linear inequalities shown below?

Question

y<−35​x+1 y>3x+6

Answer choices- (3, 2) (0, -4)

(3, 5) (-6, -10)

Answer 1

The easiest way to do this is to make a rough sketch of the graphs to see where they intersect. You will see that x must be negative. The only choice with a negative x value is (-6,-10). You can verify that this is correct by plugging theses x a y values into the 2 equations and see if you get a true statement

Answer 2

2 < -35(3) + 1

2 > 3(3) + 6 True?

-4 < -35(0) + 1

-4 > 3(0) + 1 True?

5 < -35(3) + 1

5 > 3(3) + 1 True?

-10 < -35(-6) + 1

-10 > 3(-6) + 1 True?

Answer 3

(0, -4)

(-6,10)

plug them in