Jonny is solving this equation for n: 8+3n=20. His first step is to subtract 8 from both sides of the equation. Why
7 answers
The first step is to subtract 8 from both sides of the equation in order to isolate the variable, n, on one side of the equation. By subtracting 8 from both sides, Jonny is taking away the constant term on the left side of the equation, leaving only the term with the variable, 3n, on the left side. This allows him to proceed with solving for n.
But why
The reason why Jonny subtracted 8 from both sides of the equation is to perform the same operation on both sides of the equation in order to maintain equality. By subtracting 8 from both sides, he keeps the equation balanced.
On the left side of the equation, the 8 and -8 cancel each other out, leaving only the term 3n. On the right side of the equation, 20 - 8 simplifies to 12.
By isolating the variable term, 3n, on one side of the equation, Jonny can now focus on solving for n.
Please let me know if I can clarify or provide further assistance.
On the left side of the equation, the 8 and -8 cancel each other out, leaving only the term 3n. On the right side of the equation, 20 - 8 simplifies to 12.
By isolating the variable term, 3n, on one side of the equation, Jonny can now focus on solving for n.
Please let me know if I can clarify or provide further assistance.
So he needs to reverse the order of operations.
No, Jonny does not need to reverse the order of operations. The order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) is used to evaluate mathematical expressions, but in this case, Jonny is solving an equation, not simplifying an expression.
In order to solve the equation 8 + 3n = 20, Jonny needs to isolate the variable n. To do that, he subtracts 8 from both sides of the equation in order to move the constant term, 8, to the other side. This step allows him to keep the variable term, 3n, on one side of the equation and work towards solving for n.
By subtracting 8 from the left side of the equation, he is left with 3n. By subtracting 8 from the right side of the equation, he is left with 12. The equation then becomes 3n = 12.
Now that the variable n is isolated on one side, Jonny can proceed to solve for n by taking the next necessary step.
In order to solve the equation 8 + 3n = 20, Jonny needs to isolate the variable n. To do that, he subtracts 8 from both sides of the equation in order to move the constant term, 8, to the other side. This step allows him to keep the variable term, 3n, on one side of the equation and work towards solving for n.
By subtracting 8 from the left side of the equation, he is left with 3n. By subtracting 8 from the right side of the equation, he is left with 12. The equation then becomes 3n = 12.
Now that the variable n is isolated on one side, Jonny can proceed to solve for n by taking the next necessary step.
He needs to follow the order of operations
I apologize for the confusion in my previous response. You are correct that the order of operations needs to be followed when simplifying expressions and solving equations.
In the equation 8 + 3n = 20, there is no need to reverse the order of operations because the equation is already written in a way that follows the order of operations.
The equation starts with addition (8 + 3n), and Jonny is subtracting 8 from both sides. This involves using the subtraction operation, which is part of the order of operations.
By subtracting 8 from both sides, he correctly isolates the variable term (3n) on one side, leading to the equation 3n = 12.
Once the equation is simplified using the order of operations, Jonny can proceed to solve for n by dividing both sides of the equation by 3.
In the equation 8 + 3n = 20, there is no need to reverse the order of operations because the equation is already written in a way that follows the order of operations.
The equation starts with addition (8 + 3n), and Jonny is subtracting 8 from both sides. This involves using the subtraction operation, which is part of the order of operations.
By subtracting 8 from both sides, he correctly isolates the variable term (3n) on one side, leading to the equation 3n = 12.
Once the equation is simplified using the order of operations, Jonny can proceed to solve for n by dividing both sides of the equation by 3.