Question

if the solutions of ax+by=2 and bx+y=5 are 4 6 then a=

Answer 1

Answer:

ax + by = 5...(i)

bx + ay = 3...(ii)

Multiply (i) by a and (ii) by b and subtract

a

2

x+aby−b

2

x−aby=5a−3b

(a

2

−b

2

)x=5a−3b

x=

a

2

−b

2

5a−3b

Similarly,

Multiply (i) by b and (ii) by a and subtract

abx+b

2

y−abx−a

2

y=5b−3a

(b

2

−a

2

)y=5b−3a

y=

b

2

−a

2

5b−3a