Question

(1) 3x + 2y =7 and 4x - 3y = -2

its substitutional method​

Answer 1

Answer:

it is equation is false.

Answer 2

$3x + 2y = 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (i)$

$4x - 3y = - 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (ii)$

$from \: equation \: 1$

$3x + 2y = 7$

$\boxed{x = \frac{7 - 2y}{3} }$

$substituting \: value \: of \: x \: in \: {eq}^{2}$

$4x - 3y = - 2$

$4( \frac{7 - 2y}{3} ) - 3y = - 2$

$\frac{28 - 8y}{3} - 3y = - 2$

$\frac{28 - 8y - 9y}{3} = - 2$

${28 - 17y} = - 6$

$17y = 28 + 6$

$17y = 34$

$\: \: \blue{\boxed{y = 2}}$

$substituting \: value \: of \: y \: in \: eq {}^{1}$

$x = \frac{7 - 2y}{3}$

$x = \frac{7 - 2(2)}{3}$

$x = \frac{7 - 4}{3}$

$\: \: \: \: x = \frac{3}{3}$

$\: \: \: \: \boxed{ \red{{x = 1}}}$

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