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In Mathematics / College | 2025-07-04

Solve the equation: [tex]7 x=42[/tex].
A) [tex]x=-7[/tex]
B) [tex]x=-6[/tex]
C) [tex]x=6[/tex]
D) [tex]x=7[/tex]

Asked by dorthiepatton983

Answer (1)

Divide both sides of the equation by 7: 7 7 x ​ = 7 42 ​ .
Simplify the equation: x = 7 42 ​ .
Calculate the value of x: x = 6 .
The solution to the equation is: 6 ​ .

Explanation

Understanding the Problem We are given the equation 7 x = 42 . Our goal is to find the value of x that satisfies this equation.

Isolating x To isolate x , we need to divide both sides of the equation by 7. This gives us: 7 7 x ​ = 7 42 ​

Simplifying the Equation Now, we simplify the equation: x = 7 42 ​

Calculating the Value of x Performing the division, we find: x = 6

Final Answer Therefore, the solution to the equation 7 x = 42 is x = 6 .


Examples
Imagine you are dividing 42 apples equally among 7 friends. The equation 7 x = 42 helps you determine how many apples each friend receives. In this case, x represents the number of apples each friend gets, which is 6. This type of problem is useful in everyday situations where you need to divide a quantity equally.

Answered by GinnyAnswer | 2025-07-04

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