Maths-
SAT
Easy

Question

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 straight u minus 4 close parentheses ?

The correct answer is: 252


    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
    Let open parentheses 1 third t plus 5 close parentheses equals xopen parentheses 1 half u minus 4 close parentheses equals y

    x = 28
    x + y  = 37
    28 + y = 37
    y = 37 - 28 = 9
    xy =  open parentheses 1 third t plus 5 close parentheses open parentheses 1 half u space minus space 4 close parentheses
    = 28cross times9
    = 252

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