Question

If (2a + b, a – b) = (16, 5) ,then find a and b *
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Answer 1

Answer:

a = 7 & b = 2

Step-by-step explanation:

In this condition, you've to equating the corresponding elements of Left hand side to the elements of Right hand side.

Now,

2a + b = 16 (Name it as I equation)

a - b = 5 (Name it as II equation)

Adding I and II equations, we get

3a = 21

Divide both sides by 3, we get the value of 'a'

a = 7

Substituting this value of a in equation II, we get

a - b = 5

=> 7 - b = 5

=> b = 2.