Question

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

Answer 1

Step-by-step explanation:

The true option is (iii) y = 3x + 5 has infinitely many solutions.

Reason. For every value of x, there is a corresponding value of y and vice-versa.

Answer 2

Answer:

In the given two variable, if we put the value of x, then we get the corresponding value of yif value of

x=

0

then

⇒ y= 3× 0+ 5

⇒ y= 5

if value of

x=

1

then

⇒ y= 3× 1+ 5

⇒ y= 8

if value of

x=

2

then

⇒ y= 3× 2+ 5

⇒ y= 11

if value of

x=

−1

then

⇒ y= 3× −1+ 5

⇒ y= 2

Hence, all these pairs(0,5),(1,8),(2,11),(−1,2)

are the solution for the given pair of equationHence, the given equation had infinitely many solutions.

Step-by-step explanation:

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