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  • 18-02-2024
  • Mathematics
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2x=4/9 linear equations

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Bqre
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  • 18-02-2024

Answer:

[tex]x = \frac29[/tex]

Step-by-step explanation:

[tex]2x = \frac49 \text{ // Divide by 2}\\\\\frac{2x}2 = \frac{\frac49}2\\\\x=\frac{\frac49}2[/tex]

For the last line, we should remember that:

[tex]\frac{\frac ab}{\frac cd} = \frac{a \times d}{b \times c}[/tex]

Therefore,

[tex]\frac{\frac49}2 \to \frac{\frac49}{\frac21} \to \frac{4 \times 1}{9 \times 2} \to \frac{4}{18} \to \frac29[/tex]

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