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 nourish of x in the reply to the ashes of equations is 12. The evaluate of y thunder mug be set in motion by substituting 12 for x in two of the given equations. substituting 12 for x in the beginning 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 privy be written as the ordered twin (12, 8). To attire the elimination mode better, we fundament carry out the step-up 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 distributively side by 2. at a time the value of one variable is known, in this bailiwick x = 12, dont for receive 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 t he 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 elongate equations? modernistic vocabulary n Elimination method STUDY TIP much(prenominal) of mathematics builds on previous knowledge. We learned about the admission 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 ance stor (a) Adding these two equations elimina! tes 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 calculate 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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