Explanation Given: The given equations are 2 x + 3 y = 13 x = y + 4 Method: (a). Steps to solve a system of two Linear Equations by the Substitution Method. Solve one of the equations for one of its variables. Substitute the expression for the variable found in Step 1 into the other equation. Solve the equation from Step 2 to find the value of one variable. Substitute the value found in Step 3 into any equation containing both variables to find the value of the other variable. Check the proposed solution in the original system. (b). When solving a system of equations by the substitution method, if possible, begin by solving for a variable that has a coefficient of 1 or − 1 to avoid working with time consuming fractions. Solution: 2 x + 3 y = 13 … ( 1 ) x = y + 4 … ( 2 ) Substitute y + 4 for x in the equation ( 1 ) and solve for y . 2 x + 3 y = 13 2 ( y + 4 ) + 3 y = 13 2 y + 8 + 3 y = 13 5 y + 8 = 13 5 y = 5 y = 1 Substitute 1 for y in equation ( 2 ) , and solve for x

Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)

4th Edition

ISBN: 9780321983503

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 14 Solutions

Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)

Ch. 14.1 - Prob. 1P Ch. 14.1 - Prob. 2P Ch. 14.1 - Prob. 3P Ch. 14.1 - Prob. 4P Ch. 14.1 - Prob. 5P Ch. 14.1 - Prob. 6P Ch. 14.1 - Prob. 7P Ch. 14.1 - Prob. 8P Ch. 14.1 - Prob. 1VRVC Ch. 14.1 - Prob. 2VRVC

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The solution for given equations using substitution method.

To solve: The solution for given equations using substitution method.

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Chapter 14 Solutions

To solve:

The solution for given equations using substitution method.