SOLUTION: for what values of m and n is (5,-3) the solution for (x,y)? The equations being: mx-y=23 nx+y=12 Can you please explain this question?

Question 1003807: for what values of m and n is (5,-3) the solution for (x,y)?
The equations being:
mx-y=23
nx+y=12
Can you please explain this question?

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
for what values of m and n is (5,-3) the solution for (x,y)?
The equations being:



We substitute (5,-3) for (x,y) in both equations:



Simplify them:



Simplify further:



And finally:



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

Checking



becomes:



Adding the two equations to eliminate y




Substituting 5 for x in 4x-y=23:

   4x-y=23
4(5)-y = 23
  20-y = 23
    -y = 3
     y = -3

(x,y) = (5,-3)

So it's correct.

Edwin

RELATED QUESTIONS
One solution to the system of equations : y= mx^2 +nx +n and y= nx^2 -mx +n is (-2,11) . (answered by ikleyn,MathLover1)

When 10x^3 + mx^2 -x + 10 is divided by 5x-3, the quotient is 2x^2 + nx -2 and the... (answered by robertb)

the solution to this system of equations is (-2,1). Find the values for p and q.... (answered by jim_thompson5910)

y = 2x + 3 y = 2x + 5 You know by looking at these two problems that the slope is the (answered by edjones,stanbon)

Could you please tell me if I did some of this problem correct? It says to find the... (answered by stanbon,ankor@dixie-net.com)

Can someone please show the steps for this question . please and thanks Use mx^2 + (answered by Edwin McCravy)

Find the values for m and b in the following system so that the solution to the system is (answered by bucky)

I am stuck on this problem. Please help? Find values for m and b so that the solution... (answered by praseenakos@yahoo.com,Edwin McCravy)

Could you please help with this word problem? I need help finding the values for m and b (answered by Earlsdon)