The solution set of the pair of equations 2x | vedclass

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(D) Given the pair of linear equations:$2x + 3y = 4$  --- $(1)$$6x + 9y = 17$ --- $(2)$Comparing these with the standard form $a_1x + b_1y = c_1$ and

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$\phi$

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(D) Given the pair of linear equations:$2x + 3y = 4$  --- $(1)$$6x + 9y = 17$ --- $(2)$Comparing these with the standard form $a_1x + b_1y = c_1$ and $a_2x + b_2y = c_2$,we have:$a_1 = 2, b_1 = 3, c_1 = 4$$a_2 = 6, b_2 = 9, c_2 = 17$Now,calculate the ratios:$\frac{a_1}{a_2} = \frac{2}{6} = \frac{1}{3}$$\frac{b_1}{b_2} = \frac{3}{9} = \frac{1}{3}$$\frac{c_1}{c_2} = \frac{4}{17}$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,there is no common point of intersection,which means the system has no solution.The solution set is the empty set,denoted by $\phi$.

The solution set of the pair of equations $2x + 3y = 4$ and $6x + 9y = 17$ is ............

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