Question 544134: Please help me help my kiddo with homework. Thanks!
Graph solution to system of inequalities
-x + y ≥ 0
-2x + y ≥ 3
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Please help me help my kiddo with homework. Thanks!
Graph solution to system of inequalities
-x + y ≥ 0
-2x + y ≥ 3
**
I don't have the means to graph the solution, but I will try to describe how you should do it.
Rewrite given equations to standard forms for straight lines: y=mx+b, m=slope, b=y-intercept.
..
y=x
This is a straight line where m=1 and y-intercept=0
..
y=2x+3
This is a straight line where m=2 and y-intercept=3
..
solve for x and y
-x + y = 0
-2x + y = 3
subtract
x=-3
y=-3
(-3,-3) is your point of intersection for given two lines
..
Now, for graphing:
Draw the two lines using the slope and y-intercept or plot points.
The lines will intersect at (-3,-3)
Since the problem calls for each function to be≥0 shade the area above each line.
The shaded (overlapping) area common to both lines is the graphical solution which means that to satisfy the given system of equations, (x,y) coordinates must be in the common shaded portion.
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