x+ (k+1)y =4 and (k+1)x+9y =5k +2 has infinitely many solutions
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Answer:
x+(k+1)y=4→
(k+1)x+(k+1)²y=4k+4
(k+1)x+9y=5k+2
y=(2-k)/{(k²+2k-8}.
=-(k-2)/(k-2)(k+4)
=-1/(k+4)
x=5k+2–9y
=5k+2+9/(k+4)
=(5k²+20k+2k+8+9)/(k+4)
=(5k²+22k+17)/(k+4)
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