Question

Solve the following simultaneous equations
y + z = 2, 2x + 3z = 5, x + y + z = 3

Answer 1

x+y+z=3 let this be eq1
y+z=2 let this be eq2
2x+3z=5 let this be eq 3
Substracting eq 2 from eq1
x+y+z-(y+z) = 3-2
so, x+y+z-y-z = 1
so, x = 1
2x+3z = 5
so, 2×1 + 3z = 5
so, 3z = 3
so, z = 1
x+y+z = 3
so, 1 + y + 1 = 3
so, y = 1
so, x=1
y=1
z=1