Question

x+y=5 , y+z=6 , z+x=7 find x,y,z

Answer 1

x+y=5
x=5-y............. 1
y+z=6
y=6-z............. 2
z+x=7
z=7-x.............. 3

Substituting the value of y in equation 1
x=5-(6-z)
x=5-6+z........ 4
Substituting the value of z in equation 4
x=5-6+(7-x)
x=(-1)+7-x
x+x=6
2x=6
x=6/2
x=3......... 5


Substituting x=3 in equation 3
z=7-3
z=4.......... 6


Substituting z=4 in equation 2
y=6-4
y=2............7




Therefore,
Answer:-The value of x, y and z a is 3,2 and 4 respectively.

Hope it helps you
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