I need help solving the problem below.
For certain values of k and m, the system a + 2b = -3, 4a + 2b = k - a - mb has infinitely many solutions (a,b). What are k and m?
a + 2b = 3
5a + (2+ m)b = k
This system will have infinite solutions when the equations are the same
Multiply the first equation through by 5
5a + 10b = 15
5a + (2 + m)b = k
This will have infinite solutions when m = 8 and k = 15
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