Question

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

Answer 1

The values of x = y = z = 1

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