Question

25) ال ايت و "ج"
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Answer 1

\begin{gathered}:\implies\sf \Bigg\{\dfrac{3x + 6}{4x + 6}\Bigg\} = \Bigg\{\dfrac{4}{5}\Bigg\} \\\\\\:\implies\sf 5\Big\{3x + 6\Big\} = 4\Big\{4x + 6\Big\} \\\\\\:\implies\sf 15x + 30 = 16x + 24\\\\\\:\implies\sf 15x - 16x = 24 - 30\\\\\\:\implies\sf \cancel{-}\;x =\cancel{ -}\;6\\\\\\:\implies\underline{\pink{\boxed{\pmb{\frak{x = 6}}}}}\;\bigstar\end{gathered}

:⟹{

4x+6

3x+6

}={

5

4

}

:⟹5{3x+6}=4{4x+6}

:⟹15x+30=16x+24

:⟹15x−16x=24−30

:⟹

−

x=

−

6

:⟹

x=6

x=6

★