Question

x+y=2, y+z=3, z+x=5 find x+y+z=?​

Answer 1

Answer:

x=2

y=0

z=3

Step-by-step explanation:

x+y=2,y+z=3,z+x=5

Solve x+y=2 for x.

x=−y+2

Substitute −y+2 for x in the equation z+x=5.

z−y+2=5

Solve the second equation for y and the third equation for z.

y=3−z

z=3+y

Substitute 3−z for y in the equation z=3+y.

z=3+3−z

Solve z=3+3−z for z.

z=3

Substitute 3 for z in the equation y=3−z.

y=3−3

Calculate y from y=3−3.

y=0

Substitute 0 for y in the equation x=−y+2.

x=−0+2

Calculate x from x=−0+2.

x=2

The system is now solved.