Solve the following equation

43=j-9

Just add 9 to both sides.

Is this correct?

43=52-9

that is correct, but to follow the advice given, you should have taken the following step:

43+9 = j-9+9

That gets rid of the 9 from one side and leaves j all alone:

52 = j

That is the result you wanted, not just rewriting it with the solution inserted. When it says to solve the equation, it means to find the value of j which makes it true.

Then, you can check your result by inserting the answer into the equation, as you did. Since the values now work, your solution for j is correct.

To solve the equation 43 = j - 9, we can isolate the variable j by performing the inverse operation. In this case, since we have j being subtracted by 9, we can reverse this by adding 9 to both sides of the equation.

43 + 9 = j - 9 + 9

On the left side, the sum of 43 and 9 is 52, and on the right side, j - 9 + 9 cancels out, leaving us with just j.

52 = j

Therefore, the solution to the equation is j = 52.