SOLUTION: determine the point of intersection of: a) 1/2(x-2)-1/4(3-y) ≥ 2 3x-4y ≥ 2 b) x-3(y-3) ≤ 3 2x - 1/3(3-3y) ≥ 4 x +

Algebra.Com
Question 692801: determine the point of intersection of:
a) 1/2(x-2)-1/4(3-y) ≥ 2
3x-4y ≥ 2
b) x-3(y-3) ≤ 3
2x - 1/3(3-3y) ≥ 4
x + 5/3y ≥ 1

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
a)


_________________













first graph both lines as and , find and and find intersection point
...set and find
........=>.........; is at (,)

...set and find
........=>....=>....; is at (,)
--
...set and find
........=>.........; is at (,)

...set and find
........=>....=>....; is at (,)
draw a lines, note both of them are a part of solution

now shade the part where and


b)
do same with these inequalities

....=>...=>...=>......=>......=>...

..=>....=>....=>....=>..

...=>......=>.....=>...
same way you find and and draw a lines than shade the area that belongs to a solution ; it will look like this:



RELATED QUESTIONS

1) x ≤ 3y, x≥y. (2) y ≥ 2x, −2x+3y ≤6. (3) 3x +5y ≥... (answered by Shin123,ikleyn)
Solve the following system of inequalities by graphing. draw a graph 5x - 4y ≥ -20 (answered by MathLover1)
I don't understand these types of problems? Please help! Graph each system of... (answered by Alan3354)
Draw the feasible region surrounded by y ≥ 0 x + y ≤ 8 x ≥ 3 y... (answered by Fombitz)
could you please help me with these problems, thank you. For problems 1 and 2, graph (answered by MRperkins)
graph each system of linear inequalities. Tell whether the graph is bounded or unbounded (answered by MRperkins)
[(x + 1)/(2x + 4)] ≥ 3, x ≠... (answered by MathLover1)
Solve: 3( 2x + 5 ) ≥ 2 ( x - 1 ) + 3 (answered by Nate)
Which system of inequalities is best represented by the graph? http://prntscr.com/b6bqxy? (answered by robertb)