Solve: [tex]$41-8 m=57$[/tex]
Answer (2)
Subtract 41 from both sides: − 8 m = 16 .
Divide both sides by -8: m = − 8 16 .
Simplify to find the value of m .
The solution is: − 2 .
Explanation
Understanding the Problem We are given the equation 41 − 8 m = 57 and we need to solve for m . This is a linear equation in one variable.
Isolating the Term with m First, we subtract 41 from both sides of the equation to isolate the term with m on one side: 41 − 8 m − 41 = 57 − 41
Simplifying the Equation Simplifying both sides, we get: − 8 m = 16
Solving for m Now, we divide both sides by -8 to solve for m :
− 8 − 8 m = − 8 16
Finding the Value of m Simplifying, we find the value of m :
m = − 2
Final Answer Therefore, the solution to the equation 41 − 8 m = 57 is m = − 2 .
Examples
Imagine you are managing a budget. You start with $41, and after spending $8 per day for several days, you have $57 remaining. This problem helps you calculate how many days you spent money. Understanding linear equations is crucial for managing finances, tracking expenses, and making informed decisions about your spending habits. By solving such equations, you can determine how long your budget will last or how much you need to save each day to reach a financial goal.
The solution to the equation 41 − 8 m = 57 is m = − 2 . This is achieved by isolating m through basic algebraic operations such as subtraction and division. Understanding these steps is fundamental in solving similar linear equations in mathematics.
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