Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 3 - Section 3.1 - Systems of Two Equations in Two Unknowns - Exercises - Page 185: 3

Answer

$(3,1)$

Work Step by Step

Adding the two equations will eliminate y. The resulting equation: $2x=6\qquad/\div 2$ $x=3$ Back substitute into one of the initial equations: $x+y=4$ $3+y=4\quad/-3$ $y=1.$ Solutions are ordered pairs (x,y): $(3,1)$ Check graphically by graphing both lines in the same window and determining the intersection (see image).
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