Maths

\(5xyz=xyz\)

 

Solve for x.

 

\(5xyz=xyz\)

 

\(\frac{5xyz}{yz}=\frac{xyz}{yz}\)

 

\(5x=x\)

 

\(5x-x=x-x\)

 

\(4x=0\)

 

\(\frac{4x}{4}=\frac{0}{4}\)

 

\(x=0\)

 

Solve for y.

 

\(5xyz=xyz\)

 

\(\frac{5xyz}{xz}=\frac{xyz}{xz}\)

 

\(5y=y\)

 

\(5y-y=y-y\)

 

\(4y=0\)

 

\(\frac{4y}{4}=\frac{0}{4}\)

 

\(y=0\)

 

Solve for z.

 

\(5xyz=xyz\)

 

\(\frac{5xyz}{xy}=\frac{xyz}{xy}\)

 

\(5z=z\)

 

\(5z-z=z-z\)

 

\(4z=0\)

 

\(\frac{4z}{4}=\frac{0}{4}\)

 

\(z=0\)

 

\(x=0\)

\(y=0\)

\(z=0\)

5xyz=xyz, then x,y,z=0

 

500x+50y+5z=100z+10y+x

499x+40y-95z=0

x=-(40y-95z)/499

499x-(x/499)=0

249001x-x=0

249000x=0

x=0

40y-95z=0

z=40y/95

(z/95)-95z=0

z-9216z=0

9215z=0

z=0

40y=0

y=0