Algebra 1 Section 7.3 Solve linear systems by linear combinations

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Presentation transcript:

Algebra 1 Section 7.3 Solve linear systems by linear combinations a – b = 8 a + b = 20 Solve 3x – 2y = 1 2x + 2y = 4

Solve by linear combinations x – y = -5 x + 2y = 4 To solve by linear combinations Make the coefficients on one of the variable terms opposites Add the equations to eliminate one variable term Solve the equation Substitute and solve for the other variable

solve 2a + 6b = 4 3a – 7b = 6 10x + 16y = 140 5x – 8y = 60

solve x + 1 – 3y = 0 2x = 7 – 3y

Page 413 ex 4 x = gold volume y = silver volume Gold + silver = total volume volume volume Gold . Gold + Silver . Silver = Weight Density Volume Density Volume

assignment Page 414 Problems 8 – 42 even,43,44,58