Solve for $x$ in the equation $6x = 42$.
A) $x=7$
B) $x=48$
C) $x=36$
D) $x=6
Answer (2)
Divide both sides of the equation by 6: 6 6 x = 6 42 .
Simplify the equation: x = 6 42 .
Calculate the value of x: x = 7 .
The solution to the equation is: 7 .
Explanation
Understanding the Problem 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.
Isolating x To isolate x , we can divide both sides of the equation by 6. This gives us: 6 6 x = 6 42
Simplifying the Equation Simplifying the left side, we have x . Now we simplify the right side: 6 42 = 7
Finding the Solution Therefore, the solution is x = 7 .
Examples
Imagine you are buying multiple items of the same price. If you know that 6 items cost $42 in total, this problem helps you find the price of a single item. By dividing the total cost by the number of items, you determine the individual price. This concept is useful in everyday scenarios such as calculating unit prices, splitting bills, or determining costs per quantity.
To solve the equation 6 x = 42 , divide both sides by 6 to get x = 7 . The correct answer is option A) x = 7 .
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