Question

solve the equation and check.
x - 2.2 = 3.7

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is
(type an integer or a decimal.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Isolate the variable x

To solve for \( x \) in the equation \( x - 2.2 = 3.7 \), we add 2.2 to both sides of the equation.
\( x - 2.2 + 2.2 = 3.7 + 2.2 \)

Step2: Simplify both sides

Simplifying the left side gives \( x \), and simplifying the right side: \( 3.7 + 2.2 = 5.9 \). So \( x = 5.9 \).

Step3: Check the solution

Substitute \( x = 5.9 \) back into the original equation: \( 5.9 - 2.2 = 3.7 \). Calculating the left side: \( 5.9 - 2.2 = 3.7 \), which is equal to the right side. So the solution is correct.

Answer:

A. The solution is \( 5.9 \).