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Unformatted text preview: Math Review Handout #2 Systems of Equations in 20 Seconds Donna Park Principles of Economics Note: This is not a rigorous mathematical treatment of systems of equations. This handout is provided to refresh your memory of things you should have learned in junior high math. A Single Equation The following system of equations involves one equation and one unknown, x . 2 x 2 5 + = In this course you will always be able to solve a system of equations if you have the same number of unknowns as you have equations. (Elsewhere this is not always true.) Solution for the above equation: Subtract 2 from both sides: 2 2 x 2 2 5- + =- Simplify: x 2 3 = Divide all terms by 2: 2 x 2 2 3 = Simplify: x 2 3 = This is the solution to our equation. To review: if you have a single equation in one unknown you manipulate the equation until you obtain a coefficient of one on the unknown. This allows you to directly read the value of the unknown. Two Equations The following system of equations involves two equations and two unknowns, x and y . (a) y 2 x 2 3 + = (b) y 3 x 2 4 + = To solve a system of equations you have to manipulate the equations to yield one equation in one unknown. Then you can solve for the unknown as shown previously. Then you can solve for the unknown as shown previously....
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This note was uploaded on 09/25/2010 for the course ECON Econ 2296 taught by Professor W.graygiovannetti during the Fall '10 term at Langara.
- Fall '10