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 Intersection.

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5y=8x+8 and 7y= -8x+16.

What is there intersections?

 Dec 16, 2020

9+0 Answers

 #1
avatar+128474 
+1

Rearrange  as

 

-8x + 5y  =  8

8x + 7y =  16

 

This works out  nice and neat....add the two equations

 

12y = 24     divide  both sides by 12

 

y  =24/12    = 2

 

And using  either equation

 

8x + 7(2)  =16

8x  + 14   = 16

8x  =  16 - 14

8x  =  2

x =  2/8    =  1/4

 

The intersection is   ( 1/4, 2 )

 

 

cool cool cool

 Dec 16, 2020
 #2
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Wow CPhill your really smart. How old r u to be knowing all of these? I'm only 11

Guest Dec 16, 2020
 #3
avatar+128474 
0

I'm TOO old  !!!!

 

cool cool cool

CPhill  Dec 16, 2020
 #4
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0

When the system shown below is solved graphically, how many ordered pairs will be in the solution set?          15x + 3y = 6    and     2y = -10x + 4 

Guest Dec 16, 2020
 #5
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Lol well how do you know these? are you like a secret FBI agent?

Guest Dec 16, 2020
 #8
avatar+128474 
+1

Trick question

 

15x + 3y   =  6     divide through by  3

 

5x  + y   =  2

 

And

 

2y  = -10x  + 4   rearrange as

 

10x + 2y   = 4    divide  through  by 2

 

5x + y   = 2

 

The lines are the same !!!.....the number of "intersection" points is  infinite

 

 

cool cool cool

CPhill  Dec 16, 2020
 #6
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0

Yea CPhill thats really impressive that you know all this!

                                     cool

 Dec 16, 2020
 #7
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0

True! it's rlly nice and cool your like a friend, my name is katrina . cool

 Dec 16, 2020
 #9
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0

yea, and my name is Abi!

             smiley

 Dec 16, 2020

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