Solving Systems Of Equations And Inequalities: Elimination, Graphical, And Numerical Methods

Preview 2 of 5 pages

See the first 2 pages exactly as they appear in the document.

Page 1
Read page 1 as text
Solving Systems of Equations and Inequalities: Elimination, Graphical, and Numerical Methods 1. Use the elimination method to solve the system of equations. 8u+3v= - 15 3u+v= - 6 We call the first equation (1) and the second one (2). We perform the following calculation : (1) – 3(2) : (8 – 3*3)u = - 15 + 3*6 then – u = 3 then u = - 3 Hence v = - 6 – 3u = - 6 + 9 = 3 The solution is then (u,v) = ( - 3,3) 2. Solve the system of equations (a) symbolically, (b) graphically, and (c) numerically. (a) Here use the elimination method. What is the first step in the elimination method 5x+y=7 x - y=5 We call the first equation (1) and the second one (2). The first step of the elimination method is to add the two equations to eliminate y : (1) + (2) then 6x = 12 then x = 2 Hence y = x – 5 = 2 – 5 = - 3 We’ve solved symbolically and numerically the system. As far as the graphically resolution, we plot the two lines (5x + y = 7 and x - y = 5) and the intersection will be the solution (the green curve is x - y = 5 and the red curve is 5x + y = 7)
Page 2

3 more pages in the full document

Unlock it once and it stays in your library, ready to chat with or turn into flashcards.