Question

if 2y+z=17,2z+x=15,2x+y=10then x+y+z=​

Answer 1

Answer:

14

Step-by-step explanation:

add the three equations,take 3 common from LHS and you will get

3(x+y+z)=42

x+y+z=14

Answer 2

Step-by-step explanation:

Given:-

2y+z=17.....(1)

2z+x=15.......(2)

2x+y=10......(3)

To find:-

x+y+z

Solution:-

Let's take the sum

Eq (1)+Eq (2)+Eq (3)

${:}\longrightarrow$$2y+z+2z+x+2x+y=17+15+10$

${:}\longrightarrow$$2x+x+2y+y+2z+z=42$

${:}\longrightarrow$$3x+3y+3z=42$

${:}\longrightarrow$$3 (x+y+z)=42$

${:}\longrightarrow$$x+y+z={\frac {42}{3}}$

${:}\longrightarrow$${\underline{\boxed{\bf {x+y+z=14}}}}$