Solve the system of equations to find x,y,z (hint let d=x2 e=y2 and d=z2 . Find d e and f first) 2 means squared I don't have it on my keyboard.

Question

X2+y2+z2=9
3x2-y2-z2=7
Y2+2z2 =6

Answer 1

x^2 + y^2 + z^2 = 9 sphere center at origin radius 3
or using that suggested notation
d + e + f = 9
3d - e -f = 7
e + 2f = 6

3d+3e+3f = 27
3d-e-f=7
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4e+4f=20
e+f = 5

e+2f=6
e+1f=5
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f=1
then e = 4
d+1+4=9
d =4
so
x=2
y=2
z=1

Answer 2

Thank you