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 - Page 688: 15



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 online calculator (see image below) 2. There is an intersection point, exactly one solution, $(2,-2)$
Small 1516814768
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.