What is the answer to 10=7-m
The Correct Answer and Explanation is :
To solve the equation (10 = 7 – m), we want to isolate the variable (m). Here are the steps to find the value of (m):
- Start with the original equation:
[
10 = 7 – m
] - Rearrange the equation to isolate (m). To do this, we can move (m) to the left side of the equation and the number 10 to the right side. We do this by adding (m) to both sides and subtracting 10 from both sides:
[
10 + m = 7
] - Subtract 10 from both sides:
[
m = 7 – 10
] - Calculate the right side:
[
m = -3
]
So, the solution to the equation (10 = 7 – m) is (m = -3).
Explanation
The equation (10 = 7 – m) can be interpreted as finding a value of (m) that makes the equation true. Here, the number on the left (10) needs to equal the expression on the right (7 minus some number (m)).
When we rearrange the equation to isolate (m), we perform algebraic operations that maintain the equality. In algebra, we can add or subtract the same value from both sides of an equation without changing its truth. By moving (m) to one side and constants to the other, we simplify our equation.
The process of solving linear equations like this is foundational in algebra. It helps us understand how to manipulate equations to solve for unknown variables. The result, (m = -3), indicates that if we substitute (-3) back into the original equation, both sides will balance: (10) indeed equals (7 – (-3)), confirming our solution is correct.
This method of isolating variables is widely used not only in mathematics but also in real-world applications, such as physics, economics, and engineering, where relationships between variables need to be quantified and analyzed.