Which of the following equations has a solution of −8 ?
Responses
x − 4 = −12
x minus 4 equals negative
12 x + 3 = −11
x plus 3 equals negative 11 x
− 8 = 0
x minus 8 equals 0
x − 10 = 2
The equation "x minus 8 equals 0" has a solution of -8.
Which of the following should be done to both sides of the equation x − 3.41 = −19 to solve the value of x ?
Responses
subtract 3.41
subtract 3.41
add 19
add 19
subtract 19
subtract 19
add 3.41
To solve the value of x in the equation x − 3.41 = −19, you should add 3.41 to both sides of the equation.
To determine which equation has a solution of -8, we need to substitute -8 into each equation and see which equation is true.
Let's go through each equation:
1. x - 4 = -12:
Substituting -8 for x, we get -8 - 4 = -12, which simplifies to -12 = -12. This equation is true.
2. 12x + 3 = -11:
Substituting -8 for x, we get 12(-8) + 3 = -11, which simplifies to -96 + 3 = -11, and further simplifies to -93 = -11. This equation is not true.
3. -8 = 0:
This equation states that -8 is equal to 0. However, -8 is not equal to 0. This equation is not true.
4. x - 8 = 0:
Substituting -8 for x, we get -8 - 8 = 0, which simplifies to -16 = 0. This equation is not true.
5. x - 10 = 2:
Substituting -8 for x, we get -8 - 10 = 2, which simplifies to -18 = 2. This equation is not true.
Based on our analysis, the equation x - 4 = -12 has a solution of -8.
To determine which equation has a solution of -8, you need to substitute -8 for the variable in each equation and check if the equation becomes true.
1. Equation: x - 4 = -12
Substitute x = -8: -8 - 4 = -12 (True)
2. Equation: 12x + 3 = -11
Substitute x = -8: 12(-8) + 3 = -11 (False)
3. Equation: -8 = 0
This equation is not related to x, so it does not provide a solution for x = -8.
4. Equation: x - 8 = 0
Substitute x = -8: -8 - 8 = 0 (False)
5. Equation: x - 10 = 2
Substitute x = -8: -8 - 10 = 2 (False)
From the above analysis, we can see that the equation "x - 4 = -12" has a solution of x = -8.