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(B) For equation $I$: $77 x^{2}+58 x+8=0$Splitting the middle term: $77 x^{2}+44 x+14 x+8=0$$11 x(7 x+4)+2(7 x+4)=0$$(11 x+2)(7 x+4)=0$So,$x = -\frac{

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if $x \ge y$

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(B) For equation $I$: $77 x^{2}+58 x+8=0$Splitting the middle term: $77 x^{2}+44 x+14 x+8=0$$11 x(7 x+4)+2(7 x+4)=0$$(11 x+2)(7 x+4)=0$So,$x = -\frac{2}{11}$ or $x = -\frac{4}{7}$.For equation $II$: $42 y^{2}+59 y+20=0$Splitting the middle term: $42 y^{2}+35 y+24 y+20=0$$7 y(6 y+5)+4(6 y+5)=0$$(7 y+4)(6 y+5)=0$So,$y = -\frac{4}{7}$ or $y = -\frac{5}{6}$.Comparing values:$x_1 = -0.1818$,$x_2 = -0.5714$$y_1 = -0.5714$,$y_2 = -0.8333$Since $x_1 > y_1$,$x_1 > y_2$,$x_2 = y_1$,and $x_2 > y_2$,we conclude that $x \ge y$.

Solve the given two equations and select the correct option.
$I.$ $77 x^{2}+58 x+8=0$
$II.$ $42 y^{2}+59 y+20=0$

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Solve the given two equations and select the correct option.$I.$ $77 x^{2}+58 x+8=0$$II.$ $42 y^{2}+59 y+20=0$