Question

Solve the following equations:
x-y=1
y+z=0
x-z=3

• A. x=2, y=1 and z=-1
• B. x=2, y=1 and z=-2
• C. x=2, y=0 and z=-1
• D. x=3, y=1 and z=-1

Answer 1

The correct option is A x=2, y=1 and z=-1

We have
x-y=1........(1)
y+z=0........(2)
x-z=3..........(3)

Adding equations (1) and (2), we get

x+z=1........(4)

Adding equations (4) and (3), we get

2x=4

$\Rightarrow$ x= 2

Putting x=2 in the equation (1), we get

2-y = 1
$\Rightarrow$ y= 1

Putting x=2 in the equation (4), we get
2+z=1

$\Rightarrow$ z= -1

Thus, we have x=2, y=1 and z=-1