Question 985492
 5x + 4y =  6    (1)
-2x - 3y = -1    (2)

This set of simultaneous equations can be solved one of three different ways:
1. Using determinates 
2. You can solve for x in equation (1) and then plug the value found for x into equation (2) and solve for y. You just have to remember,now you have the solution for y and you have to plug that value back into either equation to get the value for x.  
3. Simply multiply both equations by a common value that will allow one of the variables to disappear. 

I chose to use the latter. 

If you multiply the first equation by 3 and the second by 4 you get the following

15x + 12Y = 18 
-8x - 12y = -4
---------------
7x        = 14 
 x        = 2 
What I did was simply add the two equations together. 
Now plug the value for x in either equation and solve. I chose to use the first one. 

10 + 4y = 6
4y = -4
 y = -1 
So our solution is x = 2 and y = -1. One more step we need to verify that we did the computation correctly. Now plug the values for x and y back into each equation and you should get the numbers on the right hand side. 

 2*5 + 4*(-1) = 6 
-2*2 - 3*(-1) = -1 

Q.E.D We have not proven that the solution to the equation is x = 1 and y = -1 



Now plu