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 reverse the order of operations.
He needs to reverse the order of operations.
8 is attached to 3n by subtraction.
8 is attached to 3 n by subtraction.
He needs to follow the order of operations.
He needs to follow the order of operations.
8 is the first term in the equation.
The correct answer is: He needs to isolate the variable.
By subtracting 8 from both sides of the equation, Jonny is eliminating the constant term on one side and isolating the variable term (3n) on the other side. This allows him to easily solve for n in the next steps.
The correct answer is: 8 is attached to 3n by subtraction.
To understand why Jonny subtracts 8 from both sides of the equation, let's break down the equation: 8 + 3n = 20.
The goal is to isolate the variable 'n' on one side of the equation, so we need to get rid of the 8 on the left side. Since the 8 is attached to the term 3n by addition, we need to reverse this operation.
By subtracting 8 from both sides of the equation, we eliminate the 8 on the left side: (8 - 8) + 3n = 20 - 8 simplifies to 3n = 12.
Now, we are left with the simplified equation 3n = 12. Jonny can continue solving for 'n' by performing further steps, such as dividing both sides by 3 to isolate 'n'.