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Solve for the variable 1. 5x – 4 = 2x + 8 2. -4(x + 2) + 3x = 2 x 2 2x y 1 6 4 2 -6 -4 -2 2 -2 Solution: (-2, 5) -4 -6 4 6 Coordinate Algebra with Support UNIT QUESTION: How do I justify and solve the solution to a system of equations or inequalities? Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12 Today’s Question: When is it better to use substitution than elimination for solving systems? Standard: MCC9-12.A.REI.6 1) One equation will have either x or y by itself, or can be solved for x or y easily. 2) Substitute the expression from Step 1 into the other equation and solve for the other variable. 3) Substitute the value from Step 2 into the equation from Step 1 and solve. 4) Your solution is the ordered pair formed by x & y. 5) Check the solution in each of the original equations. x 4 3 x 2y 20 (-4, 16) y x 1 xy 3 (2, 1) 3 x 2y 12 y x 1 (-2, -3) 1 x y3 2 4 x y 10 (8, 22) x 5y 4 3 x 15y 1 No Solution 2 x 5y 29 x 4y 8 (12, -1)
