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Oliga [24]
3 years ago
9

/5×+4/ =/×+9/ solve for x​

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

\large\boxed{x=\dfrac{5}{4}\ \vee\ x=-\dfrac{13}{6}}

Step-by-step explanation:

|5x+4|=|x+9|\iff5x+4=x+9\ or\ 5x+4=-(x+9)\\\\5x+4=x+9\qquad\text{subtract 4 from both sides}\\5x=x+5\qquad\text{subtract x from both sides}\\4x=5\qquad\text{divide both sides by 4}\\x=\dfrac{5}{4}\\\\5x+4=-(x+9)\\5x+4=-x-9\qquad\text{subtract 4 from both sides}\\5x=-x-13\qquad\text{add x to both sides}\\6x=-13\qquad\text{divide both sides by 6}\\x=-\dfrac{13}{6}

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