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(C) For equation $I$: $2x^{2} - 13x + 21 = 0$$2x^{2} - 6x - 7x + 21 = 0$$2x(x - 3) - 7(x - 3) = 0$$(2x - 7)(x - 3) = 0$So,$x = 3$ or $x = 3.5$.For equ

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if $x \ge y$

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(C) For equation $I$: $2x^{2} - 13x + 21 = 0$$2x^{2} - 6x - 7x + 21 = 0$$2x(x - 3) - 7(x - 3) = 0$$(2x - 7)(x - 3) = 0$So,$x = 3$ or $x = 3.5$.For equation $II$: $5y^{2} - 22y + 21 = 0$$5y^{2} - 15y - 7y + 21 = 0$$5y(y - 3) - 7(y - 3) = 0$$(5y - 7)(y - 3) = 0$So,$y = 3$ or $y = 1.4$.Comparing the values:If $x = 3$,then $y = 3$ $(x = y)$ or $y = 1.4$ $(x > y)$.If $x = 3.5$,then $y = 3$ $(x > y)$ or $y = 1.4$ $(x > y)$.In all cases,$x \ge y$.

Solve the given two equations and choose the correct option.
$I.$ $2x^{2} - 13x + 21 = 0$
$II.$ $5y^{2} - 22y + 21 = 0$

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Solve the given two equations and choose the correct option.$I.$ $2x^{2} - 13x + 21 = 0$$II.$ $5y^{2} - 22y + 21 = 0$