Question

If x+y=9 x+z=8 y+z=11 what is the value of x,y,z

Answer 1

x + y = 9 ___(i)

x + z = 8 ___(ii)

y + z = 11 ___(iii)

Subtracting equation (ii) from (i);

y - z = 1 ___(iv)

Subtracting Equation (iv) from (iii);

2y = 12

y = 6

Putting value of y in (iv) equation;

6 - z = 1

-z = -5

z = 5

Putting value of z in (ii);

x + 5 = 8

x = 3