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open parentheses 1 third t plus 5 close parentheses plus open parentheses 1 half u minus 4 close parentheses equals 37
open parentheses 1 third t plus 5 close parentheses minus open parentheses 1 half u minus 4 close parentheses equals 19
For the system of equations above, what is the value of the product open parentheses 1 third t plus 5 close parentheses open parentheses 1 half u minus 4 close parentheses ?

The correct answer is: 252


    suppose 1 third t plus 5 equals a text  and  end text 1 half u minus 4 equals b
    We get the equations as a plus b equals 37 text  and  end text a minus b equals 19
    Add both the equations a plus b plus a minus b equals 37 plus 19 not stretchy rightwards double arrow 2 a equals 56
    We get a = 28 .
    Substitute a = 28 in a plus b equals 37
    28 plus b equals 37 not stretchy rightwards double arrow b equals 37 minus 28
    We get b = 9
    We get open parentheses 1 third t plus 5 close parentheses cross times open parentheses 1 half u minus 4 close parentheses equals a cross times b equals 28 cross times 9 equals 252.

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