<PRE><B>Question 1182895</B>
&lt;br&gt;
Let x = rate on $1500 account
Let y = rate on $2000 account&lt;br&gt;
Note the problem doesn&#39;t ask us to find both x and y; we only need to find x.&lt;br&gt;
The interest from $1500 at rate x, plus the interest from $2000 at rate y, is $480:
{{{1500x+2000y = 480}}} [1]&lt;br&gt;
The interest from $1500 at rate y, plus the interest from $2000 at rate x, would have been $455:
{{{2000x+1500y = 455}}} [2]&lt;br&gt;
Solve the pair of equations [1] and [2] simultaneously by your favorite method.&lt;br&gt;
With both equations in Ax+By form, I would use elimination; but it&#39;s up to you.  In this problem I would definitely use elimination, because we only need to solve for x.&lt;br&gt;
Multiply each equation by an appropriate constant so the y coefficients are the same:&lt;br&gt;
{{{4500x+6000y = 1440}}}
{{{8000x+6000y = 1820}}}&lt;br&gt;
Subtract one equation from the other, eliminating y; then solve the resulting equation for x.&lt;br&gt;
I leave that little bit to you....&lt;br&gt;
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