Question 1102971
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<pre>
0.06*x + 0.09*(7000-x) = 493.


Solve for x.


6x + 9*(7000-x) = 49300


6x + 63000 - 9x = 49300  ====>  -3x = 49300 - 63000 = -13700  ====>  x = {{{(-13700)/(-3)}}} = 4566.67 dollars invested at 6%.


The rest, 7000 - 4566.67 = 2433.33 dollars invested at 9%.
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On investment problems see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-investment.lesson>Using systems of equations to solve problems on investment</A>

in this site.