Final answer:
To solve 2-step equations, you must use inverse operations in reverse order (address addition or subtraction before multiplication or division) and perform the same operation on both sides of the equation. Check your solution by substituting it back into the original equation.
Step-by-step explanation:
Two Important Rules for Solving 2-Step Equations:
When solving 2-step equations in mathematics, it's crucial to follow two important rules to arrive at the correct solution. The first rule is to perform inverse operations in reverse order of the operations presented in the equation. This typically means you would first address any addition or subtraction before moving on to multiplication or division. The second rule is to perform the same operation on both sides of the equation to maintain equality. By following these rules, you ensure that you isolate the variable and solve the equation step by step, keeping the equation balanced.
Examples for Understanding Two-Step Equations
Here's an example: To solve the equation 3x + 4 = 10, you would first subtract 4 from both sides to get 3x = 6, and then divide both sides by 3 to find x = 2.
Remember to always check your solution by substituting it back into the original equation to verify if the left side equals the right side. This is the verification step that confirms the validity of your solution