Algebra: Linear equations 2 | Linear equations | Algebra I | Khan Academy

TL;DR

Learn how to solve level two linear equations by getting variable terms on one side and constant terms on the other side.

Transcript

Welcome to level two linear equations. Let's do a problem. 2x plus 3 is equal to minus 15. Throw the minus in there to make it a little bit tougher. So the first thing we want to do whenever we do any linear equation, is we want to get all of the variable terms on one hand side of the equation and all the constant terms on the other side. And it do... Read More

Key Insights

• 🍉 In level two linear equations, the goal is to isolate the variable by moving all the variable terms to one side and constant terms to the other side.
• 🙃 Performing the same operation on both sides of the equation maintains equality.
• 🎚️ The reciprocal of a coefficient can be used to solve for the variable in level two linear equations.
• ✅ Algebra offers the ability to check the solution by substituting the found value back into the original equation.

Questions & Answers

Q: What is the first step in solving a level two linear equation?

The first step is to get all the variable terms on one side of the equation and all the constant terms on the other side.

Q: How do you move a term from one side to the other in a level two linear equation?

To move a term from one side to the other, you can perform the same operation on both sides of the equation. For example, to move a positive 3 to the other side, you subtract 3 from both sides.

Q: Why do you need to perform the same operation on both sides of the equation?

By performing the same operation on both sides, the equation remains balanced. Whatever you do to one side, you must do to the other side to maintain equality.

Q: How do you solve for the variable in a level two linear equation?

Once the equation is simplified to level one, you can solve for the variable by multiplying both sides by the reciprocal of the variable's coefficient.

Summary & Key Takeaways

• The first step in solving a level two linear equation is to get all the variable terms on one side and all the constant terms on the other side.

• To move terms from one side to the other, you can perform the same operation on both sides of the equation.

• Once the equation is simplified to level one, you can solve for the variable by multiplying both sides by the reciprocal of the variable's coefficient.