System of Linear Equation

SYSTEM OF LINEAR EQUATIONS IN deuce VARIABLES Solve the following systems 1. ? ? x ? y ? 8 ? x ? y ? 2 by graphing by reversal by elimination by Cramers rule 2. ? ?2 x ? 5 y ? 9 ? 0 ? x ? 3y ? 1 ? 0 by graphing by substitution by elimination by Cramers rule 3. ? ?4 x ? 5 y ? 7 ? 0 ? 2 x ? 3 y ? 11 ? 0 by graphing by substitution by elimination by Cramers rule human face 1 intersecting lines independent & consistent m1? m2 CASE 2 parallel lines inconsistent m1 = m2 b1 ? b2CASE 3 coinciding lines consistent & dependent m1 = m2 b1 = b2 Classify the following system, whether (a) intersecting, (b) parallel, or (c) coinciding lines 1. ? ? 3 x ? 4 y ? 1 ? 0 ? 3 x ? 4 y ? 2 ? 0 ? 3 x ? 4 y ? 1 ? 0 ? 6 x ? 8 y ? 2 ? 0 Solve the following systems in three variables 1. ?3 x ? 4 y ? z ? 1 2. ? x ? y ? 2 ? ? x ? 4 y ? 3z ? 3 ? 3 x ? 2 y ? 2 z ? 0 ? ________ ? ? 3 y ? z ? 1 ? x ? 2 z ? 7 ? 2. ? ________ 3. ? ?2 x ? 5 y ? 1 ? 0 ? 5 ? x ? 2 y ? 2 ? 0 ? ?2 x ? ? 1 ? 4 x ? 2 y ? 3 ? x ? 2 y ? 1 ? 0 ? 2 x ? y ? 1 ________ 4. ? ________ 5. ? ________ ?1 ? x ? ? Solve ? ?1 ? ?x ? 2 ? 3 y 3 ? 2 y caper solving Form a system of equations from the problems given below. A) (MIXTURE PROBLEM 1) How umteen pounds of a 35% table salt solution and a 14% salt solution should be combined so that a 50 pounds of a 20% solution is obtained? B) (UNIFORM MOTION) Two motorists start at the same metre from two places 128 km apart and drive toward each other.One drives 10kph than the other. If they met afterwards 48 minutes (that is, 4/5 hr), find the average make haste of each. C) A dietician is preparing a meal consisting of foods A, B, and C as shown in the table below. Fat Protein Carbohydrate If the meal must provide simply 24 units of fat, 25 Food A 3 2 4 units of protein, and 21 units of carbohydrate, how Food B 2 3 1 legion(predicate) ounces of each food should be used? Food C 3 3 2