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UTEP MATH 1320 - Section 2.1 - 2 x 2 Systems of Equations

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Math 1320 NameD.WilsonSection 2.1: 2 x 2 Systems of Equations1. (a) Use two methods to solve this syste m:x2−y4= 1x4+ y = −4(b) Graphically, what does this solution mean?2. (a) Solve the system:3x − 2y = 7x −23y = 0(b) Graphically, what does this solution mean?3. (Section 2.1, #26) Enormous State University’s Math Department offers two courses: FiniteMath and Applied Calculus. Each section of Finite Math has 60 students, and each sectionof Applied Calculus has 50 students. The department will offer a total of 110 sections thissemester, and 6000 students would like to take a math course. How many s ec tions of eachcourse should the department offer in order to fill all sections and accommodate all of thestudents?Step 1: Define the variables.Step 2: Set up the equations.Step 3: Solve; answer the question.4. In November 2003, Nortel (NT) began and ended the month at $4.50 per share, and AltriaGroup (MO) increased from $46 to $52 per share. If you invested a total of $9235 in thesestocks at the b e ginning of November and sold them for $10375 at the end of November, howmany shares of each stock did you


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UTEP MATH 1320 - Section 2.1 - 2 x 2 Systems of Equations

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