SOLUTION: Can someone help me on this problem? I need to solve the following systems by graphing: I have a graph where the x-axis meets the y-axis x - 2y = 8 3x - 2y = 12

Algebra ->  Coordinate-system -> SOLUTION: Can someone help me on this problem? I need to solve the following systems by graphing: I have a graph where the x-axis meets the y-axis x - 2y = 8 3x - 2y = 12       Log On


   

Question 58030This question is from textbook Beginning Algebra
: Can someone help me on this problem?
I need to solve the following systems by graphing:
I have a graph where the x-axis meets the y-axis
x - 2y = 8
3x - 2y = 12
Can you also do the graph since I have to send this through the computer and can't do it on paper?
I sure would appreciate it.
Thanks,
Sher This question is from textbook Beginning Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If you put your equations into the slope-intercept form (y = mx+b) they are easier to graph.
x-2y = 8 Add 2y to both sides.
x = 2y+8 Subtract 8 from both sides.
x-8 = 2y Finally, divide both sides by 2.
(1/2)x-4 = y or y = (1/2)x - 4
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3x-2y = 12 Add 2y to both sides.
3x = 2y+12 Subtract 12 from both sides.
3x-12 = 2y Finally, divide both sides by 2.
(3/2)x - 6 = y or y = (3/2)x - 6
-----------------------------------------
The graphs are:
graph%28300%2C200%2C-5%2C10%2C-8%2C5%2C%281%2F2%29x-4%2C%283%2F2%29x-6%29
From the graph, the solution (intersection) is at the point (2, -3).