Question

If P + Q = 1 and the ordered pair (p, q) satisfies 3x ➕ 2y = 1 then it also satisfies a) 3x ➕ 4y = 5 b) 5x ➕ 4y = 4 c) 5x ➕ 5y = 4

Answer 1

P+Q=1--------------------eq(1)
(p,q)satisfies 3x+2y=1
So 3P+2Q=1--------------------eq(2)
eq(2)-2eq(1)
3P+2Q-2P-2Q=1-2
P=-1
Q=2
According to this
It satisfies option (a) 3(-1)+4(2)
=-3+8
=5

Answer 2

P+Q=1--------------------eq(1)

(p,q)satisfies 3x+2y=1

So 3P+2Q=1--------------------eq(2)

eq(2)-2eq(1)

3P+2Q-2P-2Q=1-2

P=-1

Q=2

According to this

It satisfies option (a) 3(-1)+4(2)

=-3+8

=5