30. For what value of
a
a) x= 2 and y= 3 is a solution of(a + 1)x - (2a+ 3)y - 1 = 0
b) Write the equation in the simplified form.
c) How many solutions of this equation are possible?
31. If p(x) = x - 4x - 3. then find the value of p(2) – p(-1)-by).
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30. a) x=2 and y=3 (Given)
Equation given= (a+1)x - (2a+3)y -1 =0
Substituting values of x and y in the given equation,
(a+1) 2 - (2a+3) 3 -1=0
2a+2- 6a-9 -1 = 0
2a-6a= 9+1-2
-4a= 10-2
-4a = 8
a= -8/4
Therefore, a= -2.
b) equation in simplified form=
(-2+1)x- [2(2) + 3]y -1 = 0
-x - 7y-1=0
Equation given= (a+1)x - (2a+3)y -1 =0
Substituting values of x and y in the given equation,
(a+1) 2 - (2a+3) 3 -1=0
2a+2- 6a-9 -1 = 0
2a-6a= 9+1-2
-4a= 10-2
-4a = 8
a= -8/4
Therefore, a= -2.
b) equation in simplified form=
(-2+1)x- [2(2) + 3]y -1 = 0
-x - 7y-1=0
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