Question

Which ordered pair is in the solution set of 3x − 2y ≥ -1?​​​

Answer 1

Answer:

3x - 2y = -1

Just so you know, this equation is of a line on a graph.  It is in standard form.

Ax+By=C, A and B cannot equal zero and A is greater than zero.

A=3

B=-2

C=-1

As need coordinates for x and y.

Let's make this easy, and begin with x=0

[(3)(0)]-[2y]=-1

-2y=-1

Let's divide both sides by -2 to isolate y...

(-2y)/-2=-1/-2

y=1/2

(0,1/2)

y=0

3x - 2y = -1

[3x]-[(2)(0)]=-1

3x=-1

(3x)/3=-1/3

x=-1/3

(-1/3,0)

For the third, how about x=1...

3x - 2y = -1

[(3)(1)]-2y=-1

3-2y=-1

Let's subtract 3 from both sides...

-3+3-2y=-1-3

-2y=-4

y=2

(1,2)

Step-by-step explanation: