SOLUTION: Hello, I am having trouble with this one. Can you please breakdown in steps so I can see how the fraction portion was solved. Question: Find the intersection point between the

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Question 1047623: Hello, I am having trouble with this one. Can you please breakdown in steps so I can see how the fraction portion was solved.
Question:
Find the intersection point between the lines 2x+3Y=1 and 2y-7x=4

Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Find the intersection point between the lines 2x+3Y=1 and 2y-7x=4
-----
Solve each for "y"::
y = (1-2x)/3
y = (4+7x)/2
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Solve for "x":
(1-2x)/3 = (4+7x)/2
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2-4x = 12+21x
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25x = -10
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x = -2/5
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Now, solve for "y" using (1-2x)/3
y = (1-2(-2/5))/3 = (1+(4/5))/3 = (9/5)/3 = 3/5
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Cheers,
Stan H.
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Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Find the intersection point between the lines 2x+3Y=1 and 2y-7x=4
:
The point of intersection occurs when x & y are the same in both equations
solve by using elimination
2x + 3y = 1
-7x + 2y = 4
multiply the 1st equation by 2, the 2nd equation by 3
4x + 6y = 2
-21x + 6y = 12
------------------Subtraction eliminates y, find x
25x = -10
x = -10/25
x = -.4
:
Find y using the 1st equation
2(-.4) + 3y = 1
-.8 + 3y = 1
3y = 1 + .8
3y = 1.8
y = 1.8/3
y = .6
;
The point of intersection: -.4, .6
:
:
Looks like this