Question

Solving a Two-Step Equation:

Solve the equation 0.2x−7=6.8.

A) x=85
B) x=80
C) x=75
D) x=70

Answer 1

To solve the two-step equation 0.2x - 7 = 6.8, we add 7 to both sides, then divide both sides by 0.2, resulting in x = 69. The final answer does not match the provided multiple-choice options, indicating a possible error in the question or the options.

Step-by-step explanation:

To solve the two-step equation 0.2x − 7 = 6.8, we need to isolate the variable x. Here are the steps to solve this equation:

1. Add 7 to both sides of the equation to get 0.2x = 6.8 + 7.
2. Simplify the right side to find that 0.2x = 13.8.
3. Divide both sides by 0.2 to solve for x, yielding x = 13.8 / 0.2.
4. Calculate the division to find that x = 69, which is not one of the options provided. It appears there is a mistake in the question or the options given.

If the initial options were correct, then the correct process has been laid out for solving a two-step equation, even though the final numerical answer does not match any of the multiple-choice options provided.

It is important to always check if the answer makes sense by substituting the value back into the original equation:

• If x = 69, then 0.2(69) − 7 indeed equals 6.8, confirming our solution is correct despite the available options.