Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - Review Exercises - Page 37: 18



Work Step by Step

$x^2+y^2=1$ $-x+y=1$ Rewrite second equation in slope-intercept form: $y=x+1$ Substitute $y$ in the first equation: $x^2+(x+1)^2=1$ Solve for $x$: $x^2+x^2+2x+1=1$ $2x^2+2x=0$ $2x(x+1)=0$ $x=-1,0$ Substitute for $x=-1$ in the second equation: $1+y=1$ $y=0$ Substitute for $x=0$ in the second equation: $0+y=1$ $y=1$ The points of intersection are $(-1,0),(0,1)$
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