Which of the following equations has a solution of −8 ?(1 point) Responses x − 4 = −12 x minus 4 equals negative 12 x − 8 = 0 x minus 8 equals 0 x + 3 = −11 x plus 3 equals negative 11 x − 10 = 2
The equation that has a solution of -8 is:
x - 8 = 0.
To find out which equation has a solution of -8, we need to substitute -8 for x in each equation and see which one is satisfied. Let's do that:
1. x - 4 = -12:
Substitute -8 for x: -8 - 4 = -12
Simplify: -12 = -12
The equation is satisfied.
2. x - 8 = 0:
Substitute -8 for x: -8 - 8 = 0
Simplify: -16 = 0
The equation is NOT satisfied.
3. x + 3 = -11:
Substitute -8 for x: -8 + 3 = -11
Simplify: -5 = -11
The equation is NOT satisfied.
4. x - 10 = 2:
Substitute -8 for x: -8 - 10 = 2
Simplify: -18 = 2
The equation is NOT satisfied.
From the above calculations, we can see that the equation "x - 4 = -12" has a solution of -8.
To determine which equation has a solution of -8, we can substitute -8 in place of the variable and check if the equation becomes true. Let's go through each equation:
1) x - 4 = -12: Substitute -8 for x:
-8 - 4 = -12
-12 = -12
The equation is true.
2) x - 8 = 0: Substitute -8 for x:
-8 - 8 = 0
-16 = 0
The equation is not true.
3) x + 3 = -11: Substitute -8 for x:
-8 + 3 = -11
-5 = -11
The equation is not true.
4) x - 10 = 2: Substitute -8 for x:
-8 - 10 = 2
-18 = 2
The equation is not true.
From the above calculations, we find that the equation "x - 4 = -12" is the only equation that has a solution of -8.