SOLUTION: My brain is on shut down from all my equations and this problem has me lost. Help Please!! Angela Solve the following system of linear inequalities by graphing. x – y <= 3 x

Algebra ->  Linear-equations -> SOLUTION: My brain is on shut down from all my equations and this problem has me lost. Help Please!! Angela Solve the following system of linear inequalities by graphing. x – y <= 3 x       Log On


   

Question 118702: My brain is on shut down from all my equations and this problem has me lost. Help Please!! Angela
Solve the following system of linear inequalities by graphing.
x – y <= 3 x + 2y <=6


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x – y <= 3; x + 2y <=6
:
Put both equations in the "y =" form that we can graph:
x - y <= 3
-y <= -x + 3
We need y to be positive, mult by -1, this reverses the inequality sign
y >= x - 3
and
x + 2y <= 6
2y <= -x + 6
y <= -.5x + 3; divided equation by 2
:
Plot the lines of these two equations: they should look like this:
y >= x - 3; purple
y <= -.5x + 3; green
+graph%28+300%2C+200%2C+-4%2C+6%2C+-6%2C+6%2C+x-3%2C+-.5x%2B3%29+
:
Shade the area at and above the purple line
Shade the area at and below the green line
:
The solution area is the portion that is shaded by both, (a triangular area that opens to the left)
:
Did this help? If you don't know how to plot a graph, let me know, and we can go over that.