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(D) Given equations are:$I. \quad 4x + 7y = 209$$II. \quad 12x - 14y = -38$To solve these,multiply equation $(I)$ by $2$ to eliminate $y$:$8x + 14y =

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$x = y$

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(D) Given equations are:$I. \quad 4x + 7y = 209$$II. \quad 12x - 14y = -38$To solve these,multiply equation $(I)$ by $2$ to eliminate $y$:$8x + 14y = 418$ $(III)$Now,add equation $(II)$ and $(III)$:$(12x - 14y) + (8x + 14y) = -38 + 418$$20x = 380$$x = \frac{380}{20} = 19$Substitute $x = 19$ into equation $(I)$:$4(19) + 7y = 209$$76 + 7y = 209$$7y = 209 - 76$$7y = 133$$y = \frac{133}{7} = 19$Since $x = 19$ and $y = 19$,we have $x = y$.

Solve the given two equations and select the correct answer from the given options.
$I. \quad 4x + 7y = 209$
$II. \quad 12x - 14y = -38$

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Solve the given two equations and select the correct answer from the given options.$I. \quad 4x + 7y = 209$$II. \quad 12x - 14y = -38$