Question

Given, X+y=20 ,Y+Z=25 ,Z+X=19, Find. X,Y,Z​

Answer 1

Answer:

x+y=20 (1)

y=20-x

y+z=25

put the value of y in it

20-x+z=25

-x+z=25-20

-x+z=5

x+z=19 (a)

adding them we get

2z=24

z=24/2 =12

put the value in (a)

x+12=19

x=19-12=7

put the value of x in (1)

7+y=20

y=20-7=13

Answer x=7, y=13, z=12

Answer 2

Answer:

Step-by-step explanation: Let, x+y=20 ..........(i)

y+z=25 ..........(ii)

z+x=19 ...........(iii)

now, (i)+(ii)+(iii)=>

x+y+y+z+z+x=20+25+19

=>2x+2y+2z=64

=>2(x+y+z)=64

=>x+y+z=64/2=32

therefore, x+y+z=32

=>x=32-(y+z)

=>x=32-25 [from (ii)]

=>x=7

y=32-(z+x)

=>y=32-19 [from (iii)]

=>y=13

z=32-(x+y)

=>z=32-20 [from (i)]

=>z=12

Hope, it will help you