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:

1. Underline the matching equation parts
2. Add when signs are different, subtract when signs are the same
3. Find the value of the non-underlined letter
4. Substitute the value into one of the original equations
5. Multiply numbers if necessary
6. Subtract whole numbers
7. 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.

Practice Questions for Solving Simultaneous Equations

This page provides a comprehensive set of practice problems for solving simultaneous equations using both substitution and elimination methods.

The problems range from simple to more complex, allowing students to progressively build their skills and confidence in solving simultaneous equations.

Example: 2x + 3y = 16 x + 3y = 13

Solution: Subtract the second equation from the first: x = 3 Substitute x = 3 into either original equation: 3 + 3y = 13 3y = 10 y = 10/3

The page includes a variety of question types, including those with fractional coefficients and negative numbers, providing a comprehensive practice set for students to master 4 methods of solving simultaneous equations.

Highlight: Regular practice with a diverse set of problems is key to mastering simultaneous equations. This page offers an excellent resource for students to hone their skills and prepare for exams.