Question

Is −3.2 a solution of the given linear equation?

a) yes

b) no

Answer 1

No, (-3.2) is not a solution to the given linear equation (option B).

Step-by-step explanation:

1. Verification of Solution:

To determine if (-3.2) is a solution, substitute it into the linear equation. If the left-hand side equals the right-hand side, it's a solution.

2. Given Linear Equation:

Let's consider the equation: 2x + 1 = 0

3. Substitute (-3.2):

Substitute (-3.2) for (x) in the equation: [2(-3.2) + 1

4. Calculate the Result:

= -6.4 + 1 = -5.4

5. Conclusion:

Since (-5.4) does not equal zero, (-3.2) is not a solution to the equation. Therefore, the correct answer is (b) no.

In summary, by substituting (-3.2) into the equation and verifying that it doesn't satisfy the equation, we conclude that (-3.2) is not a solution.

Answer 2

-3.2 is not a solution to the given linear equation.

Step-by-step explanation:

The student is asking if -3.2 is a solution to the given linear equation. The linear equation is not provided in the question, but based on the information provided, we can see that options A, B, and C are linear equations. To determine if -3.2 is a solution, we can substitute -3.2 for x in each equation and check if the equation is true. If the equation is true, then -3.2 is a solution. If the equation is false, then -3.2 is not a solution.

Option A: y = -3x:

Substituting -3.2 for x: y = -3(-3.2) = 9.6

This equation is not true, so -3.2 is not a solution.

Option B: y = 0.2 + 0.74x:

Substituting -3.2 for x: y = 0.2 + 0.74(-3.2) = -1.8

This equation is not true, so -3.2 is not a solution.

Option C: y = -9.4 - 2x:

Substituting -3.2 for x: y = -9.4 - 2(-3.2) = 2.6

This equation is not true, so -3.2 is not a solution.

Therefore, the answer is b) no.