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

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(B) For a pair of linear equations $a_1x + b_1y = c_1$ and $a_2x + b_2y = c_2$,the system is inconsistent if $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \

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inconsistent

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(B) For a pair of linear equations $a_1x + b_1y = c_1$ and $a_2x + b_2y = c_2$,the system is inconsistent if $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$.Given equations are $2x + 3y = 5$ and $2x + 3y = 8$.Here,$a_1 = 2, b_1 = 3, c_1 = 5$ and $a_2 = 2, b_2 = 3, c_2 = 8$.Calculating the ratios:$\frac{a_1}{a_2} = \frac{2}{2} = 1$$\frac{b_1}{b_2} = \frac{3}{3} = 1$$\frac{c_1}{c_2} = \frac{5}{8}$Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$ $(1 = 1 
eq \frac{5}{8})$,the lines are parallel and have no common solution.Therefore,the pair of equations is inconsistent.

The pair of equations $2x + 3y = 5$ and $2x + 3y = 8$ is ..........

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