Question 1024485
Assign three variables and translate the description into equations.


h hundred
t tens
u one or units


The number:  {{{100h+10t+u}}}.


{{{system(100h+10t+u=17(h+t+u),100h+10t+u+198=100u+10t+h,h+u=-1+t)}}}.


Simplify and solve the system of equations.


A start on that:
{{{100h+10t+u=17h+17t+17u}}}
{{{83h-7t-16u=0}}}
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{{{99h-99u+198=0}}}
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{{{h-t+u=-1}}}
{{{h-t+u+1=0}}}
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Revised system of equations:  {{{highlight(system(83h-7t-16u=0,99h-99u=-198,h-t+u=-1))}}}
Substitution method might be most comfortable from here.



---Continuing---

Use the last or third equation and solve it for t in terms of the other variables.
{{{t=h+u+1}}}


Substitute this into the first "equals 0" equation and simplify.
{{{83h-7(h+u+1)-16u=0}}}
{{{83h-7h-7u-7=16u=0}}}
{{{76h-23u=7}}}


A revised, shorter system not including variable t, is this:
{{{system(76h-23u=7,99h-99u=-198)}}}
and the "99" equation is simplifiable making a system:
{{{highlight(system(76h-23u=7,h-u=-2))}}}
Solve THIS system for h and u.