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Which one of the following options is true, and why? y=3x+5 ha

Question

Which one of the following options is true, and why?
$y = 3 x + 5$ has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions

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Noah Discussed

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

y = 3 x + 5

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

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

In the given two variable, if we put the value of

x

, then we get the corresponding value of

y

if value of

x = 0

then

\Rightarrow y = 3 \times 0 + 5

\Rightarrow y = 5

if value of

x = 1

then

\Rightarrow y = 3 \times 1 + 5

\Rightarrow y = 8

if value of

x = 2

then

\Rightarrow y = 3 \times 2 + 5

\Rightarrow y = 11

if value of

x = - 1

then

\Rightarrow y = 3 \times - 1 + 5

\Rightarrow y = 2

Hence, all these pairs

(0, 5), (1, 8), (2, 11), (- 1, 2)

are the solution for the given pair of equation

Hence, the given equation had infinitely many solutions.

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Question Text	Which one of the following options is true, and why? $y = 3 x + 5$ has (i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions
Answer Type	Text solution:1
Upvotes	150