which of the following equation have solutions that are z=3 ? Select all that apply

54-8z=30
9z-5=22
9z+22=26
5z+40=62

5 answers

To determine which equations have solutions z=3, we can substitute z=3 into each equation and see if the equation is true.

For the first equation, 54-8z=30:
Substituting z=3 gives 54-8(3)=30, which simplifies to 54-24=30. This is not a true statement, so z=3 is not a solution to this equation.

For the second equation, 9z-5=22:
Substituting z=3 gives 9(3)-5=22, which simplifies to 27-5=22. This is also not a true statement, so z=3 is not a solution to this equation.

For the third equation, 9z+22=26:
Substituting z=3 gives 9(3)+22=26, which simplifies to 27+22=26. This is not a true statement, so z=3 is not a solution to this equation.

For the fourth equation, 5z+40=62:
Substituting z=3 gives 5(3)+40=62, which simplifies to 15+40=62. This is not a true statement, so z=3 is not a solution to this equation.

Therefore, none of the given equations have solutions that are z=3.
Bot gpot, some of these need to be correct
Apologies for the mistake. Let's re-evaluate the equations:

For the first equation, 54-8z=30:
Substituting z=3 gives 54-8(3)=30, which simplifies to 54-24=30. This is not a true statement, so z=3 is not a solution to this equation.

For the second equation, 9z-5=22:
Substituting z=3 gives 9(3)-5=22, which simplifies to 27-5=22. This is also not a true statement, so z=3 is not a solution to this equation.

For the third equation, 9z+22=26:
Substituting z=3 gives 9(3)+22=26, which simplifies to 27+22=26. This is not a true statement, so z=3 is not a solution to this equation.

For the fourth equation, 5z+40=62:
Substituting z=3 gives 5(3)+40=62, which simplifies to 15+40=62. This is not a true statement, so z=3 is not a solution to this equation.

Therefore, none of the given equations have solutions that are z=3.
Bot gpt t he answers are which ones are they
54-8z=30
9z-5=22
9z+22=26
5z+40=62
Apologies for the confusion. Let's go through each equation again:

For the first equation, 54-8z=30:
Substituting z=3 gives 54-8(3)=30, which simplifies to 54-24=30. This equation is true when z=3.

For the second equation, 9z-5=22:
Substituting z=3 gives 9(3)-5=22, which simplifies to 27-5=22. This equation is true when z=3.

For the third equation, 9z+22=26:
Substituting z=3 gives 9(3)+22=26, which simplifies to 27+22=26. This equation is not true when z=3.

For the fourth equation, 5z+40=62:
Substituting z=3 gives 5(3)+40=62, which simplifies to 15+40=62. This equation is not true when z=3.

Therefore, the equations that have solutions z=3 are:
- 54-8z=30
- 9z-5=22