Question

1. Which one of the following options is true, and why? y = 3x+5 has A unique solution Only two solutions Infinitely many solutions​

Answer 1

Step-by-step explanation:

Solution:

Given: Linear equation y = 3x + 5

We kneed to find how many solutions can satisfy the given equation.

We know that,

y = 3x + 5 is a linear equation in two variables in the form of ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.

For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.

Answer 2

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➤ ➣ ➢ Solution ➤ ➣ ➢

1. So, there is no end to the number of different solutions obtained on substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions. Thus, y = 3x + 5 has infinitely many solutions. Hence (iii) is the correct answer.