Which of the following equations has a solution of −7?(1 point) Responses −3x−8=−29 negative 3 x minus 8 equals negative 29 5x+11=−24 5 x plus 11 equals negative 24 −x+3=−4 negative x plus 3 equals negative 4 4x−23=5
To find which equation has a solution of -7, substitute -7 into each equation and see which one makes the equation true.
1) -3x-8 = -29
-3(-7)-8 = -29
21-8 = -29 (not true)
2) 5x+11 = -24
5(-7)+11 = -24
-35+11 = -24 (not true)
3) -x+3 = -4
-(-7)+3 = -4
7+3 = -4 (not true)
4) 4x-23 = 5
4(-7)-23 = 5
-28-23 = 5 (not true)
None of the equations have a solution of -7.
These are the choices −3x−8=−29 negative 3 x minus 8 equals negative 29 5x+11=−24 5 x plus 11 equals negative 24 −x+3=−4 negative x plus 3 equals negative 4 4x−23=5
Apologies for the misunderstanding. To determine which equation has a solution of -7, we can substitute -7 into each equation and see which one becomes true.
1) −3x−8=−29
-3(-7) - 8 = -29
21 - 8 = -29
13 = -29 (not true)
2) 5x+11=−24
5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24 (true)
3) −x+3=−4
-(-7) + 3 = -4
7 + 3 = -4
10 = -4 (not true)
4) 4x−23=5
4(-7) - 23 = 5
-28 - 23 = 5
-51 = 5 (not true)
Therefore, the equation 5x+11=−24 has a solution of -7.