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2x+3y= 7. (a-1)x+(a+2)y = 3a

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ashmitsingh718p6ehon

monicaanand8571

07.06.2018

Math

Secondary School

+15 pts

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2x 3y - 7 =0 ;(a-1) x+(a+1) y =3 a - 1 find the value of a and b

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lxnm

LxnmAce

where is bin the question.......

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khobaibakmal

KhobaibakmalAmbitious

2x+3y-7=0 or,

2x+3y=7 AND (a-1)x+(a+1)y= 3a-1

So,

here a1= 2, b1= 3 and c1=7

a2= a-1, b2=a+1 and c2=3a-1

The condition for infinitely many solutions is :

a1/a2=b1/b2=c1/c2

i.e.

=> 2/a-1=3/a+1=7/3a-1

=> 2/a-1=3/a+1

(by doing cross multiplication),

=> 2(a+1) = 3(a-1)

=> 2a+2 = 3a-3

=> 2a-3a+2+3 = 0

=> -a+5=0

=> -a=-5

=> i.e. a=5

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