24x+y = 48 6x+y = 7 2 The solution to the given system of equations is ( x, y). What is the value of y?
","rationale_html":"The correct answer is 80. Subtracting the second equation in the given system ( +) (- +) = - from the first equation yields 24 x y 6 x y 48 72, which is equivalent - + - =- =- to 24 x6 x y y 24, or 18x 24. Dividing each side of this equation =- - by 3 yiexlds 6 8. Substituting 8 for 6x in the second equation yields - + = = 8 y 72. Adding 8 to both sides of this equation yields y 80. Alternate approach: Multiplying each side of the second equation in the given + = system by 4 yields 24 4x 2y88. Subtracting the first equation in the given ( +) (- +) = - system from this equation yields 24 x4 y 24 x y 288 48, which is 37 SAT PRACTICE TEST #4 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS nnn MATH: MODULE 1 - + - = = equivalent to 24 x24 x4 y y240, or 3y 240. Dividing each side of this = equation by 3 yields y 80.
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