How do I graph the solution of the following system 2x+y≤4, y-1≤0
x≥0, y≥0 I am not sure what the equations should be

Question

How do I graph the solution of the following system 2x+y≤4, y-1≤0
x≥0, y≥0  I am not sure what the equations should be

anonymous · Answer

do u need answer the one factor by group?

anonymous · Answer

y-1≤0 -------> y ≤ 1 and y≥0 ------>  0 ≤ y ≤ 1 
2x+y≤4 
y ≤ 4 - 2x
can u graph this?

anonymous · Answer

I need to graph the solution on a graph and show the equations

anonymous · Answer

i guess I needto find the slope intercept form?

anonymous · Answer

u can graph this ?
y = x
y = -x
y = -2x
y = 4 - 2x

amistre64 · Answer

you also need to know if there are any 'and' , 'or's involved

anonymous · Answer

no ands or ors

anonymous · Answer

just the equation and a blank graph

amistre64 · Answer

attachment

amistre64 · Answer

the solution is the shaded area; those points are common to all the graphs

amistre64 · Answer

the how is like this:

we have a boundary curve that breaks the graph into 2 areas; one above a curve and the one below it; right?

anonymous · Answer

yes

amistre64 · Answer

that boundary curve will either be a part of the solution or not; but since your inequalities say 'equal to' than we can include the curves, still with me?

amistre64 · Answer

to determine which side of the curve is a solution; we pick a point that is not on the curve; becasue we want to determine an area that is not the curve right?  that point can easily be 0,0 or if that ones taken; pick (0,1) or (1,0) or something easy to compute

amistre64 · Answer

if the point on the side you choose makes the inequaility true?  then that side is a solution; and if false, then you need to choose the other side to shade right?

amistre64 · Answer

if we have multiple equations, then we either want to know what area will make any of them true; or all of them true; this problem seems to be asking for the area of the graph that makes all of the inequalities true...

amistre64 · Answer

so we need to find the areas that overlap .... make sense?

amistre64 · Answer

if i ask you to pick everybody that is on your left; where do you look for solutions to the task?

anonymous · Answer

amistre how to make a graph like that in pc?

amistre64 · Answer

alot of detailing in 'paint' program lol

amistre64 · Answer

i made a blank like this; and then i detail it when i need to

anonymous · Answer

wow

anonymous · Answer

thank you