Question

Which is a solution to the linear inequality 2x-3y>6

A. (3,0)
B. (-3,1)
C. (3,-1)

Answer 1

The answer is C.

Plug it into the equation.

2(3) - 3(-1) > 6

Simplify.

6 + 3 > 6

9 > 6

Since this is true, this is the answer.

Answer 2

C ( 3,-1) is a solution

Explanation:

2x-3y>6

Let x = 3

2(3) -3y >6

6 - 3y>6

Subtract 6

-3y >0

Divide by -3

-3y/-3 < 0/-3

y < 0

If x = 3 y must be less than 0

C ( 3,-1) is a solution