Solve solution for substitution, graphing, and elimination

Example #1 Date: Side-By-Side: Methods for Solving Systems of Linear Equations Period: _ Substitution Find the solution to Elimination variable: 1) Choose an equation and isolate (solve for) a -4x + 2y = 8 -3x = 6 -y 1) Rewrite the equations so that the x's and y's are on the same side of the equation, and the constants are on the other. Graphing IN- -- 2 ) Using the other equation, substitute in the 1) Rewrite each equation in expression that you've just found for the y = mx + b form: isolated variable in Step 1: 2) Stack the equations so like terms are lined up: 3) Solve the equation from Step 2 for the 3) Modify the equation(s) so that the variable that was not isolated in Step 1: coefficients of one of the variables in each 2) Graph each equation: equation (either the x's or the y's) are equal and opposite of each other. 4) Substitute the value of the variable from Step 3 into the equation with the isolated variable from Step 1. 4) Add the equations so that one variable is eliminated (canceled out): 3) Locate the point of 5) Solve the equation from Step 4 for the final, intersection of the two lines: remaining variable: 5) Solve the equation from Step 4: 6) Substitute the value of the variable just solved for (in Step 5) into one of the original equations (it doesn't matter which): Solution: 7) Solve for the final, remaining variable: Stroh (Math by the Mountain), 2015