Eth125 Week 1

Note that the y- inconstant is eliminated when the left over(p) sides are make senseed. The resulting equation, 2 x = 24, simplifies to x = 12. Thus the pry of x in the dress to the ashes of equations is 12. The harbor of y thunder mug be implant by substituting 12 for x in some(prenominal) of the given equations. substituting 12 for x in the runner equation, x + y = 20, results in 12 + y = 20 or y = 8. The solution to the ashes of equations is x = 12, y = 8, which washbowl be written as the ordered bitstock (12, 8). To trick up the elimination mode better, we bottom of the inning carry out the growth vertically. x  y = 20 x  y = 4 2 x  0y = 24 work left sides and add right sides. 2 x = 24 Simplify. x = 12 Divide each side by 2. at a time the value of one variable is known, in this flake x = 12, dont for impart to find the value of the other variable by substituting this known value in either of the given equations. By substituting 12 for x in the cooperate equation, we obtain 12 - y = 4 or y = 8. The solution is the ordered pair (12, 8). READING CHECK What is eliminated from both of the equations when the elimination method is utilize to solve a system of unidimensional equations? modernistic mental lexicon n Elimination method STUDY TIP much of mathematics builds on previous knowledge. We learned about the extension property of equality in Chapter 2.

In this section, we see how we can use this property to solve a system of linear equations. EXAMPLE 1 Applying the elimination method Solve each system of equations. Check each solution. (a) 2 x + y = 1 3x - y = 9 (b) -2a + b = -3 2a + 3b = 7 tooth root (a) Adding these two equations elimin! ates the y-variable. 2x  y = 1 First equation 3x  y = 9 Second equation 5x = 10, or x = 2 Add and solve for x. To find y, substitute 2 for x in either of the given equations. We will use 2 x + y = 1. 2(2) + y = 1 Let x = 2 in first equation. y = 3 recoup 4 from each side. ISBN 1-256-49082-2 Beginning and Intermediate Algebra with Applications & Visualization, Third...If you want to get a full essay, order it on our website: OrderEssay.net

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