Question

check whether the following Paris of liner equation has unique solution,no solution or indirectly many solution in case there is a unique and solution ,find it.
2x+y=5,3 x+2y=8
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Answer 1

2x+y=5-----1 ,3x+2y=8-------2

these equations will have a unique solution as a1/a2is not equal to b1/b2

x=5-y/2-----3

putting value of x in equation 2,we get

3*5-y/2+2y=8

15-3y+4y/2=8

15+y=16

y=16-15=1

y=1 Putting the value of y in equation 3,

x=5-1/2=4/2=2

x=2 and y=1