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

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(B) Given equations are:$2x - 3y = 8$ (or $2x - 3y - 8 = 0$)$4x - 6y = 9$ (or $4x - 6y - 9 = 0$)Comparing with $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2

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Inconsistent

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(B) Given equations are:$2x - 3y = 8$ (or $2x - 3y - 8 = 0$)$4x - 6y = 9$ (or $4x - 6y - 9 = 0$)Comparing with $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$:$a_{1} = 2, b_{1} = -3, c_{1} = -8$$a_{2} = 4, b_{2} = -6, c_{2} = -9$Calculating the ratios:$\frac{a_{1}}{a_{2}} = \frac{2}{4} = \frac{1}{2}$$\frac{b_{1}}{b_{2}} = \frac{-3}{-6} = \frac{1}{2}$$\frac{c_{1}}{c_{2}} = \frac{-8}{-9} = \frac{8}{9}$Since $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} 
eq \frac{c_{1}}{c_{2}}$,the lines represented by these equations are parallel.Therefore,the pair of linear equations has no solution and is inconsistent.

On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$,find out whether the following pair of linear equations are consistent or inconsistent.
$2x - 3y = 8$; $4x - 6y = 9$

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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 following pair of linear equations are consistent or inconsistent.$2x - 3y = 8$; $4x - 6y = 9$