Question

Solve each equation and check your answer: ( x - 23 = 57 )

a. ( x = 34 )
b. ( x = 80 )
c. ( x = -34 )
d. ( x = -80 )

Answer 1

The given equation is ( x - 23 = 57 ). To solve for x, we need to isolate it on one side of the equation.

a. ( x = 80 )

Step-by-step explanation:

Adding 23 to both sides, we get ( x = 80 ). To check this solution, substitute 80 back into the original equation:

(80 - 23 = 57)

Calculating both sides, we find:

(57 = 57)

In the original equation, the variable x represents a number. The equation states that if you subtract 23 from x, the result is 57. So, to find the value of x, we perform the inverse operation and add 23 to both sides. This isolates x and gives us \(x = 80\). To verify this solution, we substitute 80 back into the original equation and simplify both sides to ensure they are equal. The equality holds, confirming that \(x = 80\) is indeed the correct solution to the equation.

Therefore, the correct option is a. ( x = 34 )