Question

solve the equation using method of cross multiplication- 2x +5y =1
2x +3y =3​

Answer 1

Answer:

Solution :-

2x + 5y = 1

2x + 5y - 1 = 0

2x + 3y = 3

2x + 3y - 3 = 0

2x + 5y - 1 = 0

2x + 3y - 3 = 0

By cross multiplication rule, we get

$\dfrac{x}{5(- 3) - 3(- 1)} = \dfrac{y}{2(- 1) - 2(- 3)} = \dfrac{1}{2(3) - 2(5)}$

$\dfrac{x}{- 15 + 3} = \dfrac{y}{- 2 + 6} = \dfrac{1}{6 - 10}$

$\dfrac{x}{- 12} = \dfrac{y}{4} = \dfrac{1}{- 4}$

$\implies\dfrac{x}{- 12} = \dfrac{1}{- 4} \:and\: \dfrac{y}{4} = \dfrac{1}{- 4}$

$\implies x = \dfrac{- 12}{4} \:and\: y = \dfrac{4}{- 4}$

$\implies x = - 3 \:and\: \:y\: = - 1$

$\therefore The\: value\: of\: x\: = - 3, y\: = - 1 is\: the\: solution\: of\: the\: system\: of\: the\: given\: equation\:$