Question

In the following simultaneous equations, find the value of x, y and z respectively. X + Y - Z = 4, X + Y + Z = 2 and X - Y + 2Z = -3

Answer 1

Answer:

X = 1

Y = 2

Z = - 1

Step-by-step explanation:

X + y - z = 4 - - - - - - - - - - - eq. 1

X + y + z = 2 - - - - - - - - - - - eq. 2

X - y +2z = - 3 - - - - - - - - - - eq. 3

On sub, eq 1 and 2,

X + y - z - x - y - z = 2

-2 z = 2

Z = - 1

On sub eq 2 and 3.

X + y + z - x + y - 2 z = 5

2y - z = 5

2y + 1 = 5 - - - - - - - - - - - - - - put the value of z

Y = 2

Put the value of y and z in eq 1

X + 2 +1 = 4

X = 1