Which of the following equations has a solution of −7?(1 point)
Responses
−x+3=−4
negative x plus 3 equals negative 4
5x+11=−24
5 x plus 11 equals negative 24
−3x−8=−29
negative 3 x minus 8 equals negative 29
4x−23=5
4 x minus 23 equals 5
To determine which equation has a solution of -7, we can substitute -7 for x in each equation and see which equation is true.
1) −x+3=−4
Substituting -7 for x:
-(-7) + 3 = -4
7 + 3 = -4
10 = -4
This equation is not true.
2) 5x+11=−24
Substituting -7 for x:
5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24
This equation is true.
3) −3x−8=−29
Substituting -7 for x:
-3(-7) - 8 = -29
21 - 8 = -29
13 = -29
This equation is not true.
4) 4x−23=5
Substituting -7 for x:
4(-7) - 23 = 5
-28 - 23 = 5
-51 = 5
This equation is not true.
Therefore, the equation 5x+11=−24 has a solution of -7.