Question

solve (2x+7)/(3x+5)=15/17 x=?

Answer 1

Answer:

4

Step-by-step explanation:

$\frac{2x + 7}{3x + 5} = \frac{15}{17} \\ 17(2x + 7) = 15(3x + 5) \\ 34x + 119 = 45x + 75 \\ 119 - 75 = 45x - 34x \\ 44 = 11x \\ x = \frac{44}{11} \\ x = 4$

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Answer 2

$\large \frak \green{ \pmb{ \underline{Solution : }}}$

$\qquad \: \: \: \: \: \: \sf \color{skyblue}{ \underline{▬▬▬▬▬▬▬▬}}$

$\sf{ \qquad : \implies \frac{2x + 7}{3x + 5} = \frac{15}{17} }$

$\frak \pink{By \: cross \: multiplication,}$

$\sf{ \qquad : \implies \: 17(2x + 7) = 15(3x + 5)}$

$\sf{ \qquad : \implies \: 34x + 119 = 45x + 75}$

$\sf{ \qquad : \implies \: 119 - 75 = 45x - 34x}$

$\sf{ \qquad : \implies \: 44 = 11x}$

$\sf{ \qquad : \implies \: x = \frac{ \cancel{ { {44}}} \: \: ^{4} }{ \cancel{11}} }$

$\sf{ \qquad : \implies \: x = 4}$

$\:$

$\qquad \: \: \: \: \: \: \sf \color{skyblue} \underline{▬▬▬▬▬▬▬▬}$