Jonny is solving this equation for n: 8 + 3n = 20. His first step is to subtract 8 from both sides of the equation. Why?(1 point)
Responses
8 is the first term in the equation.
8 is the first term in the equation.
He needs to follow the order of operations.
He needs to follow the order of operations.
He needs to reverse the order of operations.
He needs to reverse the order of operations.
8 is attached to 3n by subtraction.
The correct answer is "8 is attached to 3n by subtraction." Removing the constant term from one side of the equation allows Jonny to isolate the variable term on the other side of the equation.
The correct response is: 8 is attached to 3n by subtraction.
When solving an equation, the goal is to isolate the variable on one side of the equation. In this case, Jonny subtracts 8 from both sides of the equation to begin isolating the variable. By doing so, he is essentially undoing the addition of 8 to the equation, allowing him to focus solely on the term with the variable.
The correct answer is: 8 is attached to 3n by subtraction.
To solve the equation 8 + 3n = 20 and isolate the variable n, Jonny needs to get rid of the term 8 on the left side of the equation. Since 8 is attached to 3n by addition (+), Jonny needs to perform the inverse operation of addition, which is subtraction (-), to remove 8 from the left side of the equation.
By subtracting 8 from both sides of the equation, Jonny can eliminate the 8 on the left side, leaving only 3n. This step helps him isolate the term with the variable n, making it easier to solve for n.