Question 3

If in two linear equations ax + by = c and dx + ey = f and a/d = b/e = c/f then, which of the following is true about the two equations?

Solution

As per the given question,

$$ax+by=c $$and $$dx+ey=f$$

As we know that, if two lines are parallel then $$\dfrac{a}{d}=\dfrac{b}{e}=\dfrac{c}{f}$$

Hence, these two lines have infinite number of solution. Hence these two lines are representing the coincident lines.

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