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Explain Bot To determine which of the given equations have a solution of z=3, we can substitute z=3 into each equation and check if the equation holds true.
Let's go through each equation:
1. 54 - 8z = 30
Substituting z = 3, we have: 54 - 8(3) = 30
Simplifying: 54 - 24 = 30
This equation is not true since 30 is not equal to 30. Therefore, z=3 is not a solution to this equation.
2. 5z + 40 = 62
Substituting z = 3, we have: 5(3) + 40 = 62
Simplifying: 15 + 40 = 62
This equation is also not true since 55 is not equal to 62. Therefore, z=3 is not a solution to this equation.
3. 9z - 5 = 22
Substituting z = 3, we have: 9(3) - 5 = 22
Simplifying: 27 - 5 = 22
This equation is not true since 22 is not equal to 22. Therefore, z=3 is not a solution to this equation.
4. 9z + 22 = 26
Substituting z = 3, we have: 9(3) + 22 = 26
Simplifying: 27 + 22 = 26
This equation is also not true since 49 is not equal to 26. Therefore, z=3 is not a solution to this equation.
Based on the calculations, none of the given equations have a solution of z=3.