The sum of 2 numbers is 102. if their difference is 48, find the 2 numbers using matrices

Question

Define the variables. Write a system of equations. Write matrix equation. Solve

Answer 1

Let required numbers = x,y

The sum of two numbers is x+y = 102 -------------> (1)

The difference of two numbers is x-y = 48 -----------> (2)

Convert the equations in to matrices form.

 

Apply matrice inverse formula .

So the required numbers are x = 27, y = 75.

Comments

Check your solution, typo mistake in 15 th line.

Required numbers are x = 75 and y = 27.