write the value of a, b so that the following equations have infinite number of solutions 2x +3y =7
(a-b)x +(a+b)y =3a+b-2
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Answer:
a=5, b=1
Step-by-step explanation:
2/a-b=3/a+b=7/3a+b-2
2/a-b=3/a+b
2(a+b)=3(a-b)
2a+2b=3a-3b
a-5b=0
a=5b-----------1
2/a-b=7/3a+b-2
2(3a+b-2)=7(a-b)
6a+2b-4=7a-7b
a-9b+4=0
5b-9b+4=0 (from 1)
-4b+4=0
-4b=-4
b=1
a=5b
=5(1)
=5
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