+965 For certain values of k and m, the system
a + 2b = -3 - 7a + b,
4a + 2b = k - 5a - mb
has infinitely many solutions (a,b). What are k and m?
+1950 Let's simplify the two equations a bit first. We get that
8a+b=−39a+(2+m)b=k
Now,
This will have infinte solutions when the equations are the same...so....multiply the first equation by 9 and the second by 8 and we get
72a+9b=−27 72a+8(2+m)b=8k
Thus, we can no easily solve for m and k. Solving for m, we get
9=8(2+m)9=16+8m−7=8mm=−7/8
Solving for k, we get
8k=−27k=−27/8
Thanks! :)
