Question

Solve the equaction 3/4x-19=7/2x+25

Answer 1

Answer:

3/4x-19=7/2x+25

=3/4x - 14/4x = 25 + 19

∴ x = -1/16

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Answer 2

$\huge\mathtt{{\fcolorbox{lightgreen}{lightgreen}{AnSwEr~~~↓}}}$

$\small{ }$

$\bold{To~solve:}$

$\large\mathtt{{\frac{3}{4x-19}}={\frac{7}{2x+25}}}$

$\bold{By~cross~multiplication~we~get:}$

$\large\mathtt{~~~3(2x+25)=7(4x-19)}$

$\large\implies\mathtt{6x+75=28x-133}$

$\large\implies\mathtt{6x-28x=-133-75}$

$\large\implies\mathtt{-22x=-208}$

$\large\implies\mathtt{22x=208}$

$\large\implies\mathtt{x={\frac{208}{22}}}$

$\large\implies\mathtt{x={\underline{\underline{{\frac{104}{22}}}}}}$

$\small{ }$

$\huge\mathrm\color{lightgreen}{Hope~it~helps..!!}$