Transform the absolute value equation ∣ x − 15 ∣ = 16 | x - 15 | = 16 ∣ x − 15∣ = 16 into two linear equations.A) x + 15 = − 16 x + 15 = - 16 x + 15 = − 16 ; x − 15 = − 16 x - 15 = - 16 x − 15 = − 16 B) x + 15 = 16 x + 15 = 16 x + 15 = 16 ; x + 15 = − 16 x + 15 = - 16 x + 15 = − 16 C) x − 15 = 16 x - 15 = 16 x − 15 = 16 ; x − 15 = − 16 x - 15 = - 16 x − 15 = − 16 D) x + 15 = 16 x + 15 = 16 x + 15 = 16 ; x − 15 = − 16 x - 15 = - 16 x − 15 = − 16 E) x + 15 = 16 x + 15 = 16 x + 15 = 16 ; x − 15 = 16 x - 15 = 16 x − 15 = 16

Question

Transform the absolute value equation   ∣ x − 15 ∣ = 16 | x - 15 | = 16 ∣ x − 15∣ = 16   into two linear equations.A)    x + 15 = − 16 x + 15 = - 16 x + 15 = − 16   ;   x − 15 = − 16 x - 15 = - 16 x − 15 = − 16 B)    x + 15 = 16 x + 15 = 16 x + 15 = 16   ;   x + 15 = − 16 x + 15 = - 16 x + 15 = − 16 C)    x − 15 = 16 x - 15 = 16 x − 15 = 16   ;   x − 15 = − 16 x - 15 = - 16 x − 15 = − 16 D)    x + 15 = 16 x + 15 = 16 x + 15 = 16   ;   x − 15 = − 16 x - 15 = - 16 x − 15 = − 16 E)    x + 15 = 16 x + 15 = 16 x + 15 = 16   ;   x − 15 = 16 x - 15 = 16 x − 15 = 16

Taylor Jolly · Accepted Answer

Final Answer : C, Explanation :   The absolute value equation   ∣ x − 15 ∣ = 16 | x - 15 | = 16 ∣ x − 15∣ = 16   can be transformed into two linear equations by considering both the positive and negative scenarios of the absolute value expression. This results in   x − 15 = 16 x - 15 = 16 x − 15 = 16   and   x − 15 = − 16 x - 15 = -16 x − 15 = − 16  .

Transform the absolute value equation $∣ x - 15∣ = 16$ into two linear equations.

A) $x + 15 = - 16$ ; $x - 15 = - 16$
B) $x + 15 = 16$ ; $x + 15 = - 16$
C) $x - 15 = 16$ ; $x - 15 = - 16$
D) $x + 15 = 16$ ; $x - 15 = - 16$
E) $x + 15 = 16$ ; $x - 15 = 16$

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