Need some math help.
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Old November 21st, 2010, 10:05 PM   #1
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Need some math help.


My mother is in college as well and I took this course a while back and don't really remember squat about it.

It is about finding the point of an intersection given 2 points using algebraic approach.

Here are the problems. If you could break one down to me MM style I would appreciate it. Thanks.

1) 3x +4y=20 5x+4y=12
2) 4x +4y=20 3x-2y= -10
3) 2x+3y=12 4x+6x= 14

I learned it a completely different way, and with her notes I can't understand the way her teacher wants her to show the work.

Thanks again math gurus.
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Old November 21st, 2010, 10:07 PM   #2
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Ugh... I haven't been in a math class in about 2 years. I vaguely remember how to do this. Hopefully someone can help you.
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Old November 21st, 2010, 10:09 PM   #3
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Tell me about it. I mean I can look at it for a sec and tell the points of intersection, I just forgot how to do the breakdown is all.
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Old November 21st, 2010, 10:10 PM   #4
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Old November 21st, 2010, 10:13 PM   #5
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Old November 21st, 2010, 10:38 PM   #6
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Solve each equation for y (slope-intercept form) then set each of the slope intercept equations equal to each other with only x terms, solve for x then sub x into either of the original equations to find y.
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Old November 21st, 2010, 11:05 PM   #7
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yeah just make the equations in each line equal to the same variable and then equal to each other:
3x+4y=20 5x+4y=12
4y=20-3x 4y=12-5x
y=5-3/4x y=3-5/4x

5-3/4x=3-5/4x
2=-2/4x
-4=x
plug into original
3(-4)+4y=20
-12+4y=20
4y=32
y=8

i hope I didnt make any mistakes, but you get the idea
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Old November 21st, 2010, 11:10 PM   #8
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Originally Posted by HMUSN View Post
My mother is in college as well and I took this course a while back and don't really remember squat about it.

It is about finding the point of an intersection given 2 points using algebraic approach.

Here are the problems. If you could break one down to me MM style I would appreciate it. Thanks.

1) 3x +4y=20 5x+4y=12
1.First Solve get y by its self on one side
so y=-3/4x+5
2.Substitue the first equation into the second one, so 5x+4(-3/4x+5)=12
3.Solve for x, x=-4
4.Plug in 4 for x in your first eguation, so y=-3/4(-4)+5
5. Solve for y, y=8
6. point of intersection is (-4,8)

2) 4x +4y=20 3x-2y= -10
3) 2x+3y=12 4x+6x= 14

I learned it a completely different way, and with her notes I can't understand the way her teacher wants her to show the work.

Thanks again math gurus.
Your gonna wanna do the same thing for the other two, i just don't have time to do them
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Old November 21st, 2010, 11:56 PM   #9
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you are both correct!

solve for Y in one equation, plug it in the other. Then use that X value to plug in back to the original given equation from the equation before you solved for Y to find the corresponding Y value.

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