Question 1029152
<pre>
                   RATE            TIME          DISTANCE

Expected            x              t              120

Actual             x-6            t+1             120
</pre>


That arrangement of data is not exactly as you say you wanted, so according to your "PS", change the data table and assigning to THIS instead:



<pre>
                   RATE            TIME          DISTANCE

Expected            x+6            t              120

Actual             x              t+1             120
</pre>
This new arrangement might or might not be a better one than the first one; but continuing this way,  make a system of equations.


{{{highlight(system((x+6)t=120,x(t+1)=120))}}}


Begin to solve.
{{{system(xt+6t=120,xt+x=120)}}}----maybe still not the best way to continue.


The system is not linear.  Try to solve for one variable in terms of the other and substitute into the other equation.


{{{t=120/(x+6)}}}
-
{{{x(120/(x+6)+1)=120}}}


{{{120x/(x+6)+x=120}}}


{{{120x+x(x+6)=120(x+6)}}}

You continue this until solved.