Question

3/2x-5/3y=-2;x/3+y/2=13/6 solve by substitution method

Answer 1

here is your answer friend
.. hope it helps..

Answer 2

$\Large{\underline{\underline{\bf{Solution:-}}}}$

$\rm{ \frac{3x}{2} - \frac{5y}{3} = - 2.......(i)}$

$\rm{\frac{x}{3} + \frac{y}{2} = \frac{13}{6}.......(ii)}$

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${\bold{\underline{\underline{from\: equation\: (i), \: we \: obtain}}}}$

$\rm{9x-10y = -12}$

$\rm{ x = \frac{ - 12 + 10y}{9} ......(iii)}$

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${\bold{\underline{\underline{Substituting\: this\: value\: in \: equation\: (ii), \: we \: obtain}}}}$

⟾$\rm{\frac{ \frac{ - 12 + 10y}{9} }{3} + \frac{y}{2} = \frac{13}{6}}$

⟾$\rm{\frac{ - 12 + 10y}{27} + \frac{y}{2} = \frac{13}{6} }$

⟾$\rm{ \frac{ - 24 + 20y + 27y}{54} = \frac{13}{6} }$

⟾$\rm{ 47y = 117 + 24}$

⟾$\rm{ 47y = 141}$

⟾$\rm{y = 3.......(iv)}$

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${\bold{\underline{\underline{Substituting\: this\: value\: in \: equation\: (iii), \: we \: obtain}}}}$

⟾$\rm{x = \frac{ - 12 + 10 \times 3}{9} }$

⟾$\rm{x = \frac{18}{9} }$

⟾$\rm{x=2}$

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${\rm{\boxed{\boxed{x=2}}}}$

${\rm{\boxed{\boxed{y=3}}}}$

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$\Large{\underline{\underline{\bf{Thanks}}}}$