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How many solutions does the system formed by x-y=3 and ay-ax+3a=0 have for a nonzero number a? Explain.
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Dec 16, 2017
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How many solutions does the system formed by x-y=3 and ay-ax+3a=0 have for a nonzero number a? Explain.
Mathematics
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Dirk Mahler
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There's no solution that is nonzero.
x-y=3
x = 3+y
Substitute that to the second equation.
ay-a(3+y)+3a=0
6a=0
a=0
y = x-3
Substitute that to the second equation
a(x-3)-ax+3a=0
0 = 0
Matthiku
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Dec 22, 2017
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Matthiku
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