Question

Solve the equation and check your answer:x−23=57/3

​a)x=20
b)x=30
c)x=40
d)x=50

Answer 1

The equation x - 23 = 57/3 is solved by converting 57/3 to 19 and adding 23 to both sides, resulting in x = 42. None of the given options match the correct solution.

Step-by-step explanation:

To solve the equation x - 23 = 57/3, we need to isolate the variable x. First, we convert 57/3 to its simplest form, which is 19, and then add 23 to both sides of the equation.

1. Divide 57 by 3 to get 19: 57/3 = 19.
2. Add 23 to each side: x - 23 + 23 = 19 + 23.
3. Simplify both sides: x = 42.

After solving the equation, it’s clear that none of the provided options a) x=20, b) x=30, c) x=40, d) x=50 match the solution we obtained. Therefore, the correct solution is not listed in the options.

To check the solution:

Insert x = 42 into the original equation:

42 - 23 = 19, which simplifies to 19 = 19. This confirms that the solution x = 42 is correct.