Hi
5/3 X +7Y = 24
7Y = 24-5/3 X
Y = ( 24-5/3 X) /7
so now if X = 6 then : Y = ( 72/3 - 30/3) / 7 = 42/3 /7 = 14/7 = 2
Value for Y = 2 when X = 6
let's check : 5/3 *6 + 7*2 = 30/3 +14 = 30/3 +42/3 = 72/3 = 24
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