SOLUTION: how do i solve by graphing? 2x+3y=6 y=2/3x-2

Algebra ->  Linear-equations -> SOLUTION: how do i solve by graphing? 2x+3y=6 y=2/3x-2      Log On


   



Question 678541: how do i solve by graphing?
2x+3y=6
y=2/3x-2

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Use 2x+3y=6
3y = -2x + 6
y = %28-2%2F3%29x%2B%286%2F3%29
y = %28-2%2F3%29x%2B2
y intercept is 2
Plot (0,2)
x intercept is where x = 0
0 = %28-2%2F3%29x%2B2
-2 = %28-2%2F3%29x
%28-2%29%28-3%2F2%29+=+x
x = 3
Plot (3,0)
Draw a line through the intercepts
...
Use y = 2%2F3x - 2
y intercept is -2
Plot(0,-2)
x intercept is where y = 0
0 = %282%2F3%29x+-+2
2 = %282%2F3%29x
%282%29%283%2F2%29 = x
x = 3
Plot (3,0)
Draw a line through the intercepts
...
Where the lines intersect is the solution point.
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C+%28-2%2F3%29x%2B2%2C+%282%2F3%29x-2%29
...
To check algebraically,
%28-2%2F3%29x%2B2+=+%282%2F3%29x-2
%28-2%2F3%29x+-+%282%2F3%29x+=+-2+-+2
%28-4%2F3%29x+=+-4
x+=+-4%28-3%2F4%29
x+=+3
plut the x equals 3 into either of the linear equations and solve for y
y = %282%2F3%29%283%29+-+2
y = 0
(3,0) is the solution
.....................
Delighted to help; feel free to email if you have further questions.
HomeworkHelpers@readingboosters.com
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.