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:

### 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

Subtract equation (ii) from (i)

Put this value in equation (i)

Therefore the value of a = 1

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