Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.1 - Systems of Linear Equations in Two Variables - 10.1 Exercises: 15

Answer

$(2,-2)$

Work Step by Step

To solve a pair of equations in two variables graphically, first put each equation in function form, $y=f(x)$. 1. Graph the equations on a common screen. 2. Find the points of intersection of the graphs. The solutions are the x- and y-coordinates of the points of intersection. --------- $\left.\begin{array}{ll} x-y=4\ \ /-x & 2x+y=2\ \ /-2x\\ -y=4-x\ \ /\times(-1) & y=2-2x\\ y=x-4 & y=-2x+2 & \end{array}\right.$ 1. Graphed with desmos.com online calculator (see image below) 2. There is an intersection point, exactly one solution, $(2,-2)$
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