Final answer:
To solve the equation x - 23 = 57 ⅔, first isolate the variable x by adding 23 to both sides. Simplify the expressions and find the common denominator to add the fractions. Substitute the solution back into the original equation to check if it is correct.
Step-by-step explanation:
To solve the equation x - 23 = 57 ⅔, we can start by isolating the variable x. We can do this by adding 23 to both sides of the equation, which gives us x = 57 ⅔ + 23. To add these fractions, we need to find a common denominator. The common denominator for ⅔ and 23 is 6, so the equation becomes x = (3/2) * (6/6) + (23/1) * (6/6), which simplifies to x = 19/50 + 138/6. Adding these fractions gives us x = 247/50.
To check if this is the correct answer, we substitute x = 247/50 back into the original equation: (247/50) - 23 = 57 ⅔. If both sides of the equation are equal, then the solution is correct.