If the pair of equations x+2y-8=0 and 2x+4y=k have infinitely many solutions, find k.
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Answer:
k = 16 is the answer
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x+2y=8
And 2x+4y=16
These given equations are in the form:
a 1 x+b 1 y+c 1 =0 and
a 2 x+b2 y+c 2 =0
Where
a 1 =1,b 1 =2 and c 1 =8
a 2 =2,b 2 =4 and c 2 =16
a 1/a 2 = 1 /2 , b 1/ b 2
= 2 /4
= 1 /2
System has infinitely many solutions.
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