Question

If
x+y+z=10
x-y-z=8
x+y-z=2,
then find the value of x,y and z.​

Answer 1

Answer:

x = 9, y = -3, z = 4

Step-by-step explanation:

x + y + z = 10 ------ ( 1 )

x - y - z = 8 --------- ( 2 )

x + y - z = 2 --------- ( 3 )

( 1 ) + ( 2 )

2x = 18

x = 9

from ( 1 ) ----> y + z = 1 ---------- ( 4 )

from ( 3 ) -----> y - z = -7 -------- ( 5 )

( 4 ) + ( 5 )

2y = -6

y = -3

from ( 4 ) -------> z = 4

Hence x = 9, y = -3, z = 4