Find the value of k it has infinite solution kx+4y=k-4,16x+ky=k
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Answered by
56
hello,
compare the set of equations with a₁x+b₁y+c₁=0 a₂x+b₂y+c₂=0
a₁=k,b₁=4,c₁=-(k-4)
a₂=16,b₂=k,c₂=-k
for infinitely many solutions
a₁/a₂=b₁/b₂=c₁/c₂
k/16=4/k=-(k-4)/-k
1st-k/16=4/k
k²=64
k=8 or -8
2nd-4/k=(k-4)/k
4=k-4
k=8
∴for k=8 the set of equations have infinitely many solutions
hope this helps,if u like it please mark it as brainliest
compare the set of equations with a₁x+b₁y+c₁=0 a₂x+b₂y+c₂=0
a₁=k,b₁=4,c₁=-(k-4)
a₂=16,b₂=k,c₂=-k
for infinitely many solutions
a₁/a₂=b₁/b₂=c₁/c₂
k/16=4/k=-(k-4)/-k
1st-k/16=4/k
k²=64
k=8 or -8
2nd-4/k=(k-4)/k
4=k-4
k=8
∴for k=8 the set of equations have infinitely many solutions
hope this helps,if u like it please mark it as brainliest
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14
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