• question_answer Which of the following linear equation coincide with the line$4x+5y=15$? A)  $8x+10y=25$ B)  $2x+3y=7$ C)  $7x+14y=17$ D)  $12x+15y=45$

Solution :

For coincident lines, $\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}$ i.e.,  $\frac{4}{12}=\frac{5}{15}=\frac{15}{45}$   or  $\frac{1}{3}=\frac{1}{3}=\frac{1}{3}$

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