SOLUTION: Help me solve this system of equations by graphing...2y= -3x + 4 x=y+8

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Question 679911: Help me solve this system of equations by graphing...2y= -3x + 4 x=y+8
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with 2y = -3x + 4
Isolate the y variable
y = %28-3%2F2%29x+%2B+4%2F2
highlight%28y=%28-3%2F2%29x%2B2%29
The y intercept is 2
Plot (0,2)
The x intercept is where y = 0
0 = %28-3%2F2%29x%2B2
-2 = -3%2F2x
-2-2%2F3 = x
x = 4%2F3
Plot (4%2F3,0)
Draw a line through the intercepts.
...
Using x = y+8
Isolate the y variable
highlight_green%28y+=+x-8%29
y intercept is -8
Plot (0, -8)
x intercept is where y = 0
0 = x-8
x = 8
Plot (8,0)
Draw a line through the intercepts
...
The solution is the point of interception of those two lines
graph%28300%2C200%2C-2%2C10%2C-10%2C2%2C%28-3%2F2%29x%2B2%2C+x-8%29
...
Algebraically,
%28-3%2F2%29x%2B2=x-9
2+%2B+9+=+x+%2B+%283%2F2%29x
11+=+%285%2F2%29x
x=22%2F5
...
Use the x value in either equation to find the y value
y = 22%2F5 - 9
y = %2822%2F5%29+-+9%285%2F5%29+=+22%2F5+-+45%2F5+=+23%2F5
...
The solution, point of intersection is (22%2F5, 23%2F5)
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