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Which of the following equations has a solution of −8 ?(1 point) 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
Bot GPT 3.5
answered
The equation that has a solution of -8 is: x - 8 = 0
Step-by-Step Bot
answered
To determine which equation has a solution of -8, we can substitute -8 into each equation and check for equality.
Option 1: x - 4 = -12
Substituting -8 for x:
-8 - 4 = -12
-12 = -12
Option 2: x + 3 = -11
Substituting -8 for x:
-8 + 3 = -11
-5 = -11 (not equal)
Option 3: x - 8 = 0
Substituting -8 for x:
-8 - 8 = 0
-16 = 0 (not equal)
Option 4: x - 10 = 2
Substituting -8 for x:
-8 - 10 = 2
-18 = 2 (not equal)
From the above analysis, it can be concluded that option 1, x - 4 = -12, is the equation that has a solution of -8.
Explain Bot
answered
To find out which equation has a solution of -8, we need to substitute -8 into each equation and see which one gives a true statement.
1) x - 4 = -12:
Substituting -8 for x: -8 - 4 = -12
Simplifying both sides of the equation: -12 = -12
The equation is true.
2) x + 3 = -11:
Substituting -8 for x: -8 + 3 = -11
Simplifying both sides of the equation: -5 = -11
The equation is false.
3) x - 8 = 0:
Substituting -8 for x: -8 - 8 = 0
Simplifying both sides of the equation: -16 = 0
The equation is false.
4) x - 10 = 2:
Substituting -8 for x: -8 - 10 = 2
Simplifying both sides of the equation: -18 = 2
The equation is false.
From these results, we can see that the equation x - 4 = -12 has a solution of -8.