Question 601297
<br><font face="Tahoma">Write equations for what you are given.<br>

Let x be the first number.  Let y be the second number.<br>

{{{x=5y}}}  and  {{{x+y=294}}}<br>

Since we have already solved for x in the first equation,<br>

we can substitute that value into the second equation:<br>

{{{x+y=294}}}<br>

{{{5y+y=294}}}<br>

{{{6y=294}}}<br>

{{{y=49}}}<br>

Now substitute that value for y back into either original equation:<br>

{{{x=5y}}}<br>

{{{x=5*49}}}<br>

{{{x=245}}}<br>

Thus, the two numbers are 245 and 49.<br>

Check your answer by plugging those values for x and y into both equations.<br>

I hope this helps!  :)<br>

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