y = 4x+1 4y = 15x−8 The solution to the given system of equations is (x,y). What is the value of x−y?
Correct answer: 35 (parsed from the explanation — this source omits an answer key for this item)
Explanation
35 The correct answer is . The first equation in the given system of equations 4 +1 4 +1 defines y as x . Substituting x for y in the second equation in the given 4 4 +1 =15 -8 system of equations yields ^ x h x . Applying the distributive property 16 +4=15 -8 15 on the left-hand side of this equation yields x x . Subtracting x +4=-8 from each side of this equation yields x . Subtracting 4 from each side of =-12 -12 this equation yields x . Substituting for x in the first equation of the =4 -12 +1 =-47 -12 given system of equations yields y ^ h , or y . Substituting -47 - -12- -47 35 for x and for y into the expression x y yields ^ h, or .
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