Which of the following equations has a solution of −7 ?(1 point)
Responses
5x+11=−24
5 x plus 11 equals negative 24
4x−23=5
4 x minus 23 equals 5
−3x−8=−29
negative 3 x minus 8 equals negative 29
−x+3=−4
negative x plus 3 equals negative 4
To find the equation that has a solution of -7, we need to substitute -7 into the equation and see which equation results in a true statement.
Let's check each equation:
1) 5x + 11 = -24
Substituting -7 for x, we get:
5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24
Since the equation is true when x = -7, this equation has a solution of -7.
2) 4x - 23 = 5
Substituting -7 for x, we get:
4(-7) - 23 = 5
-28 - 23 = 5
-51 = 5
Since the equation is not true when x = -7, this equation does not have a solution of -7.
3) -3x - 8 = -29
Substituting -7 for x, we get:
-3(-7) - 8 = -29
21 - 8 = -29
13 = -29
Since the equation is not true when x = -7, this equation does not have a solution of -7.
4) -x + 3 = -4
Substituting -7 for x, we get:
-(-7) + 3 = -4
7 + 3 = -4
10 = -4
Since the equation is not true when x = -7, this equation does not have a solution of -7.
Thus, the only equation that has a solution of -7 is 5x + 11 = -24.