Question

If three numbers are added, their sum is '2'. If 2 times the second number is subtracted from the sum of first and third number we get '8' and if three times the first number is added to the sum of second and third number we get '4'. Find the numbers using matrices.

Answer 1

Answer:

1 , -2 & 3

Step-by-step explanation:

Let say three numbers are

x  , y & z

x + y + z = 2    eq 1

x + z - 2y = 8    eq 2

3x + y + z = 4   eq 3

Eq 1   - eq2

=> 3y = -6

=> y = -2

Eq 3 - Eq1

=> 2x = 2

=> x = 1

putting x & y in eq 1

1 -2 + z = 2

=> z = 3

1 , -2 & 3