Need fast 20 points
graph the system of inequalities.(a) -2x+3y> 3 4x-3y< 15 solve each inequality for “y=”. show your work.(b) graph each inequality.(c) shade the overlap of the 2 inequalities.

Given system of inequalities,

-2x + 3y > 3,

4x - 3y < 15,

Graphing -2x + 3y > 3 :

Related equation of line -2x + 3y = 3,

If x = 0,

-2(0) + 3y = 3 ⇒ 3y = 3 ⇒ y = 1,

If y = 0,

-2x + 3(0) = 3 ⇒ -2x = 3 ⇒  x = -1.5,

'>' represents the dotted line,

Join the points (0, 1) and (-1.5, 0) by dotted line.

For (0, 0), -2(0) + 3(0) > 3 ( False )

Shaded region will not contain the origin.

Graphing 4x - 3y < 15 :

Related equation of line 4x - 3y = 15

If x = 0,

4(0) - 3y = 15 ⇒ -3y = 15 ⇒ y = -5,

If y = 0,

4x - 3(0) = 15 ⇒ 4x = 15 ⇒  x = 3.75,

'<' represents the dotted line,

Join the points (0, -5) and (3.75, 0) by dotted line.

For (0, 0), 4(0) - 3(0) < 3 (True )

Shaded region will contain the origin.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

answer is 33

step-by-step explanation: