Simultaneous Equations Classwork
This page presents a solving simultaneous equations classwork step by step worksheet with multiple problems and their detailed solutions using the elimination method.
The elimination method involves adding or subtracting equations to eliminate one variable, allowing for the solution of the remaining variable. The page outlines a step-by-step approach:
- Underline the matching equation parts
- Add when signs are different, subtract when signs are the same
- Find the value of the non-underlined letter
- Substitute the value into one of the original equations
- Multiply numbers if necessary
- Subtract whole numbers
- Divide by the coefficient of the underlined variable
Example: 4g + 7h = 41 2g + 7h = 31
Step 1: Underline matching parts (7h) Step 2: Subtract equations (signs are the same) Step 3: 2g = 10 Step 4: g = 5 Step 5-7: Substitute g = 5 into original equation to find h
The worksheet provides multiple problems for students to practice and reinforce their understanding of the elimination method.
Highlight: The elimination method is particularly effective when both equations have the same coefficient for one of the variables, making it easy to eliminate that variable by subtraction.
