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Linear Equations in Two Variables
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07/07/2021 12:19 pm
Topic starter
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
1 Answer
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07/07/2021 12:21 pm
Let us substitute different values for x in the linear equation y = 3x + 5
x → 0, 1, 2, ..., 100
y, where y = 3x + 5 → 5, 8, 11, ..., 305
From the table, it is clear that x can have infinite values, and for all the infinite values of x, there are infinite values of y as well.
Hence, (iii) infinitely many solutions is the only option true.