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For this question, since we need to show that Eric and Nancy contributes the same amount to their monthly income, we just need to equate both expressions with each other, and then solve for the value of x.
[tex]f(x)=g(x)[/tex][tex]100x+1400=250x+500[/tex][tex]100x-250x=500-1400[/tex][tex]-150x=-900[/tex][tex]\frac{-150x}{-150}=\frac{-900}{-150}[/tex][tex]x=6[/tex]In order to check if we got the right answer, we just need to substitute the value of x to both equations.
[tex]100x+1400=250x+500[/tex][tex]100(6)+1400=250(6)+500[/tex][tex]600+1400=1500+500[/tex][tex]2000=2000[/tex]Therefore, we can conclude that Eric and Nancy has to sell 6 fish tanks each.