On comparing the ratios frac{a_{1}}{a_{2}}, f | vedclass

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(A) Given equations are:$5x - 4y + 8 = 0$$7x + 6y - 9 = 0$Comparing these equations with the standard form $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x +

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Intersect at a point

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(A) Given equations are:$5x - 4y + 8 = 0$$7x + 6y - 9 = 0$Comparing these equations with the standard form $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$,we obtain:$a_{1} = 5, b_{1} = -4, c_{1} = 8$$a_{2} = 7, b_{2} = 6, c_{2} = -9$Now,calculating the ratios:$\frac{a_{1}}{a_{2}} = \frac{5}{7}$$\frac{b_{1}}{b_{2}} = \frac{-4}{6} = -\frac{2}{3}$Since $\frac{a_{1}}{a_{2}} 
eq \frac{b_{1}}{b_{2}}$,the lines representing the given pair of linear equations intersect at exactly one point.

On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}},$ find out whether the lines representing the following pairs of linear equations intersect at a point,are parallel,or are coincident:
$5x - 4y + 8 = 0$
$7x + 6y - 9 = 0$

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On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}},$ find out whether the lines representing the following pairs of linear equations intersect at a point,are parallel or coincident:
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On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}},$ find out whether the lines representing the following pairs of linear equations intersect at a point,are parallel,or are coincident:$5x - 4y + 8 = 0$$7x + 6y - 9 = 0$