Show ALL work or explain in details the correct solution: What is the solution to –5 + z = –12?
I know the answer is z = –7. I need help with the "Show ALL work or explain in details the correct solution" part.
your goal is to get z all alone. So,
-5 + z = -12
add 5 to each side
z = -7
Done
Thanks!!
To find the solution to the equation –5 + z = –12, we need to isolate the variable, which in this case is z.
Step 1: Start with the given equation: –5 + z = –12.
Step 2: To isolate the variable, we need to remove the constant term (–5) on the left side of the equation. We can do this by adding 5 to both sides of the equation.
–5 + 5 + z = –12 + 5.
Simplifying, we get: z = –7.
Step 3: After simplifying the equation, we find that the solution is z = –7.
Therefore, the solution to the equation –5 + z = –12 is z = –7.
In summary, to solve the equation, we used the property of equality that allows us to add or subtract the same quantity to both sides of the equation.