Select the best answer for the question. Solve for [tex]$x$[/tex] in the equation [tex]$6 x=42$[/tex].
A. [tex]$x=36$[/tex]
B. [tex]$x=6$[/tex]
C. [tex]$x=7$[/tex]
D. [tex]$x=48$[/tex]
Answer (2)
Divide both sides of the equation by 6: 6 6 x = 6 42 .
Simplify the equation: x = 7 .
Compare the solution to the given options.
The correct answer is 7 .
Explanation
Isolating x We are given the equation 6 x = 42 and asked to solve for x . This means we need to isolate x on one side of the equation. To do this, we will divide both sides of the equation by 6.
Performing the Division Dividing both sides of the equation 6 x = 42 by 6, we get: 6 6 x = 6 42 Simplifying this, we have: x = 7
Selecting the Correct Answer Now we compare our solution, x = 7 , to the given options. Option A is x = 36 , option B is x = 6 , option C is x = 7 , and option D is x = 48 . Our solution matches option C.
Final Answer Therefore, the solution to the equation 6 x = 42 is x = 7 .
Examples
Imagine you are buying multiple items of the same price. If you know that 6 identical items cost $42, this problem helps you determine the price of a single item. By dividing the total cost by the number of items, you find the individual price. This concept is useful in everyday situations such as calculating unit prices at the grocery store or splitting costs among friends.
To solve the equation 6 x = 42 , divide both sides by 6 to isolate x , which gives x = 7 . The correct answer is option C. This can be verified by substituting the value back into the original equation.
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