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
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 the first term in the equation.
8 is the first term in the equation.
8 is attached to 3n by subtraction.
None of the given responses accurately explain why Jonny subtracts 8 from both sides of the equation. The correct answer is that Jonny subtracts 8 from both sides to isolate the variable, n, and keep the equation balanced.
The correct response is: He needs to reverse the order of operations.
Jonny subtracts 8 from both sides of the equation to isolate the variable n and move all constants to one side of the equation.
The correct answer is: He needs to subtract 8 from both sides of the equation.
When solving an equation, the goal is to isolate the variable on one side of the equation. In this case, Jonny wants to solve for n.
By subtracting 8 from both sides of the equation, Jonny is implementing the principle of equivalence. This allows him to maintain the equality of the equation while simplifying it.
After subtracting 8 from both sides, the equation becomes 3n = 12. This new equation is easier to solve and brings Jonny closer to finding the value of n.