SOLUTION: I have been struggling with this equation and what I have come up with just does not sound right, could someone help me? Household Income. Alkena and Hsu together earn $84,326 p

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Let x=amount of money Alkena earns, y=amount of money Hsu earns

Since they both make $84,326 a year, this means the sum of their salaries is




Also since Alkena makes $12,468 more, this means to find Alkenas salary, simply add 12,468 to Hsu's salary. So this looks like




So that means we have the system









Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.



Combine like terms on the left side


Subtract 12468 from both sides


Combine like terms on the right side


Divide both sides by 2 to isolate y



Divide




Now that we know that , we can plug this into to find



Substitute for each


Simplify


So our answer is and



So this means that Alkena makes $48,397 and Hsu makes $35,929