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(D) Given equations are:$4x + 7y = 209$  --- $(1)$$12x - 14y = -38$ --- $(2)$To eliminate $y$,multiply equation $(1)$ by $2$:$8x + 14y = 418$ --- $(3)

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if $x = y$ or the relationship cannot be established.

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(D) Given equations are:$4x + 7y = 209$  --- $(1)$$12x - 14y = -38$ --- $(2)$To eliminate $y$,multiply equation $(1)$ by $2$:$8x + 14y = 418$ --- $(3)$Now,add equation $(2)$ and equation $(3)$:$(12x - 14y) + (8x + 14y) = -38 + 418$$20x = 380$$x = 380 / 20 = 19$Substitute $x = 19$ into equation $(1)$:$4(19) + 7y = 209$$76 + 7y = 209$$7y = 209 - 76$$7y = 133$$y = 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.
$I.$ $4x + 7y = 209$
$II.$ $12x - 14y = -38$

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