Are the following pair of linear equations co | vedclass

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(B) pair of linear equations is consistent if it has at least one solution. This occurs when:$1$. $\frac{a_1}{a_2} 
eq \frac{b_1}{b_2}$ (Unique solut

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No,they are inconsistent.

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(B) pair of linear equations is consistent if it has at least one solution. This occurs when:$1$. $\frac{a_1}{a_2} 
eq \frac{b_1}{b_2}$ (Unique solution)$2$. $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ (Infinitely many solutions)Given equations:$-3x - 4y - 12 = 0$$3x + 4y - 12 = 0$Here,$a_1 = -3, b_1 = -4, c_1 = -12$ and $a_2 = 3, b_2 = 4, c_2 = -12$.Calculating the ratios:$\frac{a_1}{a_2} = \frac{-3}{3} = -1$$\frac{b_1}{b_2} = \frac{-4}{4} = -1$$\frac{c_1}{c_2} = \frac{-12}{-12} = 1$Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$,the lines are parallel and do not intersect.Therefore,the pair of linear equations is inconsistent.

Are the following pair of linear equations consistent? Justify your answer.
$-3x - 4y = 12$
$3x + 4y = 12$

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Are the following pair of linear equations consistent? Justify your answer.$-3x - 4y = 12$$3x + 4y = 12$