Question 1205707
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There are many approaches. I'll apply substitution.


Solve the first equation for the variable c.
30e+10c = 470
10c = 470-30e
c = (470-30e)/10
c = (470)/10-(30e)/10
c = 47 - 3e


Plug that into the other equation.
10e + 30c = 370
10e + 30(47 - 3e) = 370
10e + 1410 - 90e = 370
10e - 90e = 370 - 1410
-80e = -1040
e = -1040/(-80)
e = 13


Now we can determine c.
c = 47 - 3e
c = 47 - 3*13
c = 47 - 39
c = 8



Summary:
<font color=red size=4>e = 13
c = 8</font>
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