11. If x = 1 , y = 2 is a solution of the equation a²x + ay = 3, then find the values of a .
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if x=1 y=2 .......(1)
a^2x+ ay=3
a^2+2a=3
a(a+2)=3
a^2x+ ay=3
a^2+2a=3
a(a+2)=3
Answered by
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let the equation be a^2x+ay=3.
then we put the value of x and y in the equation we get ,
a^2+2a=3
a^2+2a-3=0
a^2+3a-a-3=0
a(a+3)-1(a+3)=0
(a-1)(a+3)=0
(a-1)=0,(a+3)=0
so that, a=1 or a=-3
then we put the value of x and y in the equation we get ,
a^2+2a=3
a^2+2a-3=0
a^2+3a-a-3=0
a(a+3)-1(a+3)=0
(a-1)(a+3)=0
(a-1)=0,(a+3)=0
so that, a=1 or a=-3
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