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Absolute value (Equation)

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(CIE 0606/2021/m/22/Q1)Solve the equation $|4 x+9|=|6-5 x|$. [3]

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*********math solution*************

$4x+9=\pm(6-5x)$

If $4x+9=6-5,x\mbox{ then } x=\dfrac{-1}{3}$

If $4x+9=-(6-5x), \mbox{ then } x=15.$

 


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