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3x-6y=6

6x-12y=15

 

and the other set is

2x-5y=-33

5x+2y=19

is there one solutions set, many or none?

 Jan 9, 2015

Best Answer 

 #2
avatar+129899 
+10

3x-6y=6

6x-12y=15

This equation has no solution.....to see why....multiply the first equation by 2 on both sides...this gives 6x - 12y = 12

But the second equation says that the same quantity on the left hand side = 15. And one thing cannot equal two different things at the same time !!!

-----------------------------------------------------------------------------------------------------------------

2x-5y=-33

5x+2y=19

Let's multiply the top equation by 2 and the bottom equation by 5....this will eliminate y.......so we have

4x  -  10y = -66

25x + 10y = 95      add the equations

29x  = 29              divide both sides by 29

x = 1                   and using the first equation to find y, we have

2(1) - 5y = - 33 

2 - 5y = -33

-5y = -35           divide both sides by -5

y= 7

So...our solution is (1, 7)

 

 Jan 9, 2015
 #1
avatar+390 
0

Here is the answer to the first one: x=2*y+2

 Jan 9, 2015
 #2
avatar+129899 
+10
Best Answer

3x-6y=6

6x-12y=15

This equation has no solution.....to see why....multiply the first equation by 2 on both sides...this gives 6x - 12y = 12

But the second equation says that the same quantity on the left hand side = 15. And one thing cannot equal two different things at the same time !!!

-----------------------------------------------------------------------------------------------------------------

2x-5y=-33

5x+2y=19

Let's multiply the top equation by 2 and the bottom equation by 5....this will eliminate y.......so we have

4x  -  10y = -66

25x + 10y = 95      add the equations

29x  = 29              divide both sides by 29

x = 1                   and using the first equation to find y, we have

2(1) - 5y = - 33 

2 - 5y = -33

-5y = -35           divide both sides by -5

y= 7

So...our solution is (1, 7)

 

CPhill Jan 9, 2015
 #3
avatar+118687 
0

Are you happy with these answers ?   

 Jan 10, 2015

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