Question

If f : x

→ ax + b, f(3) = 8, f(5) = 14 then the values of a & b​

Answer 1

$8=a\cdot 3+b\\14=a\cdot 5+b\\\\3a+b=8\\5a+b=14\\\\-3a-b=-8\\\underline{5a+b=14}\\2a=6\\a=3\\\\3\cdot3+b=8\\b=-1\\\\\boxed{\boxed{a=3,b=-1}}$