Question

for what value of a and b will the following pair of liner equation has infinitely many solution : 2x +3y =7 ; (a+ b) x+ (2a -b) y =21

Answer 1

Hey
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Here is your question answer,
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(a+b)x+(2a-b) y =21
2x+3y=7
so,
(a+b)/2=(2a-b) /3=21/7
(a+b)/2=21/7=3
(a+b)=3*2=6.......(1)

again,
(2a-b) /3=21/7=3
(20-b)=9.........(2)

solve equation 1and2,
3a=15
a=5 and b=1

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Hope it help

Answer 2

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