# Which shows the graph of the solution set

label Algebra
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Nov 20th, 2017

I had this question explained in my previous answer that expired even though the time froze, which I apologize for.  Therefore if you need an explanation please ask me in the follow up question, I will be happy to explain it then.

The answer is Graph #3 from the left because the x and y points from the equation are x =2 and y = 4 and with <= 12 the shaded area will be below the line and the points will have solid circles.

Jun 12th, 2015

How I got x =2 and y =4 are as follows:

Took the original equation; 6x +3y <= 12 and simplified first

*moved a common multiplier out of 6x+3y which was 3, which can go into 6 and 3

3(2x+y) <= 12

*Next, I divided by 3 to get x and y on one side

2x+y <= 4

Solved for the x-equation first

2x <= 4 -y

*divide by 2 to get x by itself

x<= 2-2y  (EQ #1)

Solved for y-equation now

2x+y <= 4

*subtract 2x from both sides to get y by itself

y <= 4 -2x (EQ #2)

Now to solve EQ #1 the x-intercepts at y = 0

x<= 2 -2y

x<= 2 - 2(0)

x<= 2   therefore the point on the graph would be (2,0)

Now to solve EQ #2 the x-intercepts at x = 0

y<= 4 - 2x

y<= 4 -2(0)

y<= 4 therefore the other point on the graph would be (0,4)

**Hope this explains it in better detail and glad to have you as a student.

Jun 12th, 2015

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Nov 20th, 2017
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Nov 20th, 2017
Nov 21st, 2017
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