MATH GRADE 9 UNIT 3 PART 2/LINEAR EQUATIONS IN TWO VARIABLES USING TABLES, SUBSTITUTION,ELIMINATION

#LINEAR EQUATIONS This solution guide focuses on solving systems of linear equations in two variables using three key methods: Tables, Substitution, and Elimination. For each method, we provide examples to illustrate the step-by-step process, helping students and learners understand how to approach and solve linear systems effectively. 1. Tables Method: In this method, we create a table of values for the variables 𝑥 and y, and find the point where both equations intersect or satisfy the system simultaneously. Example: Equation 1: x+y=6 Equation 2: 2x−y=4 By creating a table of possible solutions and testing values, we determine the values of x and y that solve both equations. 2. Substitution Method: In the substitution method, one equation is solved for one variable, and that expression is substituted into the other equation to find the value of the second variable. Example: Equation 1: x+y=6 Equation 2: 2x−y=4 Solve Equation 1 for y, then substitute this into Equation 2 to solve for x, and finally, substitute x back into the equation to find y. 3. Elimination Method: The elimination method involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other. Example: Equation 1: x+y=6 Equation 2: 2x−y=4 Add the two equations to eliminate y, solve for x, and then substitute back into one of the original equations to find y.