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Maths-

General

Easy

Question

If F(x) = ax + b, where a and b are integers, f(2) = 6 and F(3) = 7 then find the values of a and b.

hint Hint:

Put the given values of x and functions and find the required value.

The correct answer is: a = 1

We have given the values of f(x)
F(x) = ax + b
F(2) = 6
F(3) = 7
When x = 2
a(2) + b =6
2a + b = 6 ------(i)
when x = 3
a(3) + b = 7
3a + b = 7 -------(ii)
Subtract equation (ii) from (i)
3a – 2a + b – b = 7 – 6
a = 1
Put this value in equation (i)
2(1) + b = 6
b = 6 – 2
b = 4
Therefore the value of a = 1

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