Question

x+2y + z = 4
1. 4y - 3z = 1
y + 5z = 6

Answer 1

Answer:

The values of x = y = z = 1  

Step-by-step explanation:

Given three linear equation as ,

x + 2y + z = 4               .......a

     4y - 3z = 1               .......b

       y + 5z = 6             ........c

Now solve eq a and b first

   4y - 3z = 1   ×  5

    y + 5z = 6  ×  3

Or, 20y - 15z = 5

      3 y + 15z = 18

so ,(20y - 15) + (3y +15 ) = 5 +18

or,   23 y = 23  

∴           y = 1

Now put this y value in eq c

so , 1 + 5z = 6 ,

Or,       5z = 6-1 =5

∴            z = 1

Again put this y and z value in eq a

so, x + 2(1) + (1) = 4

Or,                x   = 4 -3

∴                   x = 1

Hence from the above solutions , the value of x = y =z = 1        Answer