Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions

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#### Solution

*y* = 3*x* + 5 is a linear equation in two variables and it has infinite possible solutions. As for every value of *x*, there will be a value of *y* satisfying the above equation and vice-versa.

Hence, the correct answer is (iii).

Concept: Solution of a Linear Equation

Is there an error in this question or solution?

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