Solving system of equations

Apr 2012
8
0
United States
Please help me find a solution so I can guide my son. I will not solve it for him, but can raise a red flag if I see him go on the wrong direction.
Find all values
for which there exists an ordered pair
satisfying the following system of equations:


List only the values for


Thanks a lot.
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
adding the two equations term for term ...

$2a = 8b \implies b = \dfrac{a}{4}$

substitute $\dfrac{a}{4}$ for $b$ in either equation, then solve for $a$ ... you should get three distinct solutions for $a$ (and $b$)
 
Apr 2012
8
0
United States
I did prior to sending the second post and it worked :). I've been trying to help him on this but I myself didn't see it until you guided me. I have the eureka! feeling.
 
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