Solving a System of Equations

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Presentation transcript:

Solving a System of Equations by Substitution Step 1 _______ one variable. Step 2 _______ that expression into the second equation. Step 3 _______ for the variable. Step 4 _______ the value into one of the original equations. Step 5 _______ for the remaining variable. 7 4x - y = 0 x - 2y = -7 © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources (MCC9-12.A.REI.1; MCC9-12.A.REI.3; MCC9-12.A.REI.5; MCC9-12.A.REI.6; MCC9-12.A.REI.12)

Solving a System of Equations by Substitution Step 1 Isolate one variable. Step 2 Substitute that expression into the second equation. Step 3 Solve for the variable. Step 4 Substitute the value into one of the original equations. Step 5 Solve for the remaining variable. 7 4x - y = 0 x - 2y = -7 +2y +2y x = 2y - 7 4(2y – 7) - y = 0 8y – 28 - y = 0 7y – 28 = 0 7y – 28 = 0 +28 +28 7y = 28 7 y = 4 x – 2(4) = -7 x – 8 = -7 x – 8 = -7 +8 +8 x = 1 (1, 4) © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources (MCC9-12.A.REI.1; MCC9-12.A.REI.3; MCC9-12.A.REI.5; MCC9-12.A.REI.6; MCC9-12.A.REI.12)