The pair of equations x + 2y + 5 = 0 and -3x | vedclass

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(D) Given,the equations are $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$.Comparing these with the standard form $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y +

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no solution

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(D) Given,the equations are $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$.Comparing these with the standard form $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$,we get:$a_1 = 1, b_1 = 2, c_1 = 5$$a_2 = -3, b_2 = -6, c_2 = 1$Now,calculating the ratios:$\frac{a_1}{a_2} = \frac{1}{-3} = -\frac{1}{3}$$\frac{b_1}{b_2} = \frac{2}{-6} = -\frac{1}{3}$$\frac{c_1}{c_2} = \frac{5}{1} = 5$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 equations has no solution.

The pair of equations $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$ have

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