288 Chapter 3 Systems of Linear Equations and Inequalities A x y z 1030 From Torie’s meal we have: From David’s meal we have: B 3x 2z 2420 From Emilie’s meal we have: C 2x y 2z 1910 Equation is missing the y variable. Eliminating y from equations and , we have x y z 1030 2x y 2z 1910 x z 88 0 Solve the system formed by equations and . 3x 2z 2420 x z 880 D A 3x 2z 2420 2x 2z 1760 x 660 x z880 660z880 z220 4. Solving Inconsistent Systems and Systems of Dependent Equations Solving a System of Dependent Equations Solve the system. If the system does not have one unique solution, state the number of solutions and whether the system is inconsistent or the equations are Solution: The first step is to make a decision regarding the variable to eliminate. The y variable is particularly easy to eliminate because the coefficients of y in equations A B and are already opposites. The y variable can be eliminated from Pair up equations A B and to eliminate y. equations and by multiplying equation by 2. D 3x y z 8 2x y 2z 3 5x z 11 A B B C B dependent. 3x y z 8 2x y 2z 3 x 2y 3z 5 A B C Example 4 Multiply by 1. D Multiply by 2. From equation we have From equation we have Therefore, 1 slice of pizza has 660 mg of sodium, 1 serving of ice cream has 150 mg of sodium, and 1 glass of soda has 220 mg of sodium. Skill Practice 3. Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $120 more than Barb. Barb and Carlita combined sold $280 more than Annette. How much did each person sell? B D B D x y z 1030 2x y 2z 1910 A C B A C xyz1030 660y 2201030 y150 Answer 3. Annette sold $600, Barb sold $480, and Carlita sold $400.
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above