SOLUTION: I need help with eliminations please. I have to find out what x or y is to get the other variable. The problem is 18x-18y=0 12x-12y=-12 I've tried

Algebra.Com
Question 177434: I need help with eliminations please. I have to find out what x or y is to get the other variable. The problem is 18x-18y=0
12x-12y=-12
I've tried multiplying the top by 12 and the bottom by 12 and i've also tried multiplying the top by 18 and then trying to solve it but both times I still have 2 variables left. How do I use eliminations when if I multiply it I will get the same on both sides and sometimes on top and bottom?
Thank you for helping me.
Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:



Multiply the both sides of the first equation by 2.


Distribute and multiply.


Multiply the both sides of the second equation by -3.


Distribute and multiply.


So we have the new system of equations:



Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:





Group like terms.


Combine like terms.


Simplify.


Since is NEVER true, this means that there are no solutions.


So the system is inconsistent.
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
actually you dont need to multiply by that high of a number...the LCM of 12 and 18 is 36
:
so if you multiply the top by -2 and the bottom by 3 you will eliminate the x terms
:
18x-18y=0
12x-12y=-12
:
-2(18x-18y=0)---->-36x+36y=0
3(12x+12y=-12)--> 36x+36y=-36
:
and now you just add the two equations together thus eliminating the x terms and then solve for y. once you have the solution for y you plug that back into either equation to find x.
:
remember you dont have to multiply both equations by the same number.
:
when you multiply all terms in and equation, by a constant, it doesnt change the equation. in other words x+y=3 is the same linear equation as
3(x+y=3)--->3x+3y=9.
RELATED QUESTIONS

Please help me answer this equation! 5x-3(5-2x) = -15 I need to figure out what the (answered by Alan3354)
Graph the linear equation by finding and plotting its intercepts. Please help me slove... (answered by rapaljer)
I need help with the problem {{{e^(2x+1)=9e^(1-x)}}} The question says to solve for the... (answered by stanbon,tutor_paul)
I have to graph y=4x with the formula y=mx+b. I get every other problem but this one is... (answered by lwsshak3)
The problem is x=3/2y-3 and I need to find the slope and y intercept. I cannot figure... (answered by ewatrrr)
PLEASE HELP ME!!! I need to find out the intercepts for x and y. i need the cordinants (answered by tutorcecilia)
i am learning elimination using multiplication and i am really stuck i get everything i... (answered by solver91311)
Can you please help me with this problem- 2x-6y= 12 (answered by stanbon)
I need help with eliminations , 3x-y=5... (answered by ankor@dixie-net.com)