Which of the following equations has the solution set {−3} ?
The equation that has the solution set {-3} is x + 3 = 0.
To determine which equation has the solution set {-3}, we need to test each equation with the given value.
Let's check each equation:
1) 4x + 5 = -12
To find the solution, we substitute -3 for x:
4(-3) + 5 = -12
-12 + 5 = -12
-7 = -12
This equation does not have -3 as a solution.
2) 3x - 1 = -10
Substituting -3 for x:
3(-3) - 1 = -10
-9 - 1 = -10
-10 = -10
This equation does have -3 as a solution.
3) 7 + 2x = -2
Substituting -3 for x:
7 + 2(-3) = -2
7 - 6 = -2
1 = -2
This equation does not have -3 as a solution.
4) 10x - 9 = 21
Substituting -3 for x:
10(-3) - 9 = 21
-30 - 9 = 21
-39 = 21
This equation does not have -3 as a solution.
Therefore, the equation that has the solution set {-3} is 3x - 1 = -10.
To determine which of the following equations has the solution set {-3}, we'll need to examine each equation and check if substituting -3 for the variable gives a true statement.
Without the list of equations, I cannot analyze the options directly. However, I can guide you through the process of solving equations to find the solution set.
1. Take each equation and replace the variable with -3.
2. Simplify the equation by performing any necessary mathematical operations.
3. If the equation becomes a true statement, then it has the solution set {-3}. If not, move on to the next equation and repeat the process.
By following these steps, you will be able to identify the equation that has a solution set of {-3}.