SOLUTION: graph 3(x-y)+2x<3

Algebra ->  Linear-equations -> SOLUTION: graph 3(x-y)+2x<3      Log On


   



Question 677092: graph 3(x-y)+2x<3
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Distribute the 3
3(x-y) + 2x < 3
3x - 3y + 2x < 3
...
Combine like terms
3x + 2x - 3y < 3
5x - 3y < 3
...
Isolate the y variable
5x - 3 < 3y
highlight%28y+%3E%285%2F3%29x-1%29
...
the y intercept is -1
Plot (0, -1)
...
the x intercept is when y = 0
0 = (5/3)x-1
1 = (5/3)x
x = 3/5
Plot (3%2F5, 0)
...
Draw a dotted line connecting the intercepts. It is dotted so at to NOT include the points on the line.
...
Shade the area above the line.
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cy%3E%285%2F3%29x-1%29
.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.