Question

Check all of the solutions to this equation. -1 3 7 (â€"1, 3) (3, 7)

Answer 1

To check the solutions to the equation, substitute the values into the equation. The given solutions (-1, 3) and (3, 7) are correct.

Step-by-step explanation:

To check all of the solutions to the equation, we substitute the given values into the equation and check if it holds true.

For the equation -1:

-1 = -1

For the equation 3:

3 = 3

For the equation 7:

7 = 7

For the equation (-1, 3):

When x = -1, y = 3. Substituting these values we have:

3 = 3

For the equation (3, 7):

When x = 3, y = 7. Substituting these values we have:

7 = 7

Answer 2

The solutions to the equation are -1 and (-1, 3).

Step-by-step explanation:

The given equation is -1 3 7 (â€"1, 3) (3, 7). To check if these values are solutions to the equation, we need to substitute them into the equation and see if they make it true.

Let's start with -1. Substituting -1 into the equation, we have (-1)^2 + 4(-1) + 3. Simplifying this, we get 1 - 4 + 3 = 0. So, -1 is a solution to the equation.

Now let's check 3. Substituting 3 into the equation, we have (3)^2 + 4(3) + 3. Simplifying this, we get 9 + 12 + 3 = 24. So, 3 is not a solution to the equation.

Lastly, let's check 7. Substituting 7 into the equation, we have (7)^2 + 4(7) + 3. Simplifying this, we get 49 + 28 + 3 = 80. So, 7 is not a solution to the equation.

Now let's check the points (-1, 3) and (3, 7). For the point (-1, 3), we substitute -1 for x and 3 for y in the equation. Simplifying this, we get (-1)^2 + 4(-1) + 3 = 1 - 4 + 3 = 0. So, (-1, 3) is a solution to the equation.

For the point (3, 7), we substitute 3 for x and 7 for y in the equation. Simplifying this, we get (3)^2 + 4(3) + 3 = 9 + 12 + 3 = 24. So, (3, 7) is not a solution to the equation.