Solve by elimination. 5x + 6y = 1 and 10x + 12 = 2. What is the ordered pair?

Question

Solve by elimination.  5x + 6y = 1 and 10x + 12 = 2.  What is the ordered pair?

anonymous · Answer

-1,1

saifoo.khan · Answer

No Solution.

anonymous · Answer

no solution??

saifoo.khan · Answer

these equations have no solutions.

dumbcow · Answer

is the 2nd equation
10x+12y + 2  ????

jim_thompson5910 · Answer

There are an infinite number of solutions to the system of equations 5x + 6y = 1 and 10x + 12y = 2

anonymous · Answer

oh my bad!!!  the second equation IS 10x + 12y = 2

anonymous · Answer

oh, no solution then

anonymous · Answer

I aplogize

saifoo.khan · Answer

Still, No Solution.

saifoo.khan · Answer

np.

anonymous · Answer

So the answer of an infinite number of solutions is not correct?  It is NO solutions?

jim_thompson5910 · Answer

There are an infinite number of solutions because the second equation is really the first equation but each term is multiplied by 2. So effectively, the two equations form the exact same line.

anonymous · Answer

There are infinite many solutions.

dumbcow · Answer

jim_thompson is correct, there are infinite solutions
multiply 1st equation by -2, then add the equations

-10x -12y = -2
10x +12y = 2
--------------
0 =0

saifoo.khan · Answer

not infinity.

saifoo.khan · Answer

these are parallel lines, if we graph them

jim_thompson5910 · Answer

Check your graph again, you should only get one line (basically one line is directly on top of the other)

saifoo.khan · Answer

its NOT.

jim_thompson5910 · Answer

show me the graph if you can

jim_thompson5910 · Answer

along with what you're inputting

anonymous · Answer

Let me phrase it again correctly so there is no confusion.  5x + 6y = 1 and 10x + 12y = 2

anonymous · Answer

There are infinite many solutions.

jim_thompson5910 · Answer

Yep, those equations are basically the same one. So there are an infinite number of solutions. 


For instance, say x=-1 and y=1. Plug these into the first equation to get 


5(-1)+6(1)=1
-5+6=1
1=1

Now plug them into the second equation

10(-1)+12(1)=2
-10+12=2
2=2

Since that solution clearly works, this means that there is at least one solution. This one solution is (-1,1).


You can keep going forever showing there are more solutions.

anonymous · Answer

x = 6 n+5,   y = -5 n-4,  

This is what x and y equal. You can put any number in for n  and it will be correct