Determine if the given set is a subspace of set of prime numbers P 9. Justify your answer. The set of all polynomials of the for
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<h3>Given :-</h3>
- x=y-1
- x+2y=8
- Value of x
- Value of y
Let say it is first equation:-
x=y-1. . . . (1)
and this is second equation:-
x+2y=8 . . . . (2)
Simplifying 1 equation:-
- x = y - 1
- x +1 = y
- y = x + 1
Put this value of y in second equation.
to find value of y :-
y = x + 1
y = 2 + 1
y = 3
verification:-
1 equation:-
x = y - 1
put value of x and y
2 = 3 - 1
2 = 2
LHS = RHS
Hence verified!
2 equation:-
- x+2y=8
put value of x and y
- 2 + 2 × 3 = 8
- 2 + 6 = 8
- 8 = 8
LHS = RHS
Hence verified!
Both equation verified!
.°. value of x and y is 2 and 3 respectively