Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 9 Quadratic Relations and Conic Sections - 9.7 Solve Quadratic Systems - 9.7 Exercises - Problem Solving - Page 663: 44c

Answer

See below

Work Step by Step

From part b, we found $$-6x+14y+98=0\\8x+8y+56=0$$ The second equation becomes: $x+y+7=0\\y=-x-7$ Substitute y into the first equation: $-6x+14(-x-7)+98=0\\-6x-14x-98+98=0\\-20x=0\\x=0$ Find y: $y=0-7=-7$ The coordinates of the epicenter are at $(0,-7)$ or $(0,-700)$
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