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Find all solutions (x, y) of the given system, where x and y are real numbers. (If there is no real solution, enter NO REAL SOLUTION.) Sy = etx ly - e2x + 6 (x, y) = Need Help? Read It

Find all solutions (x, y) of the given system, where x and y are real numbers. (If there is no real solution, enter NO REAL SOLUTION.) Sy = etx ly - e2x + 6 (x, y) = Need Help? Read It

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 5T
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Find all solutions (x, y) of the given system, where x and y are real numbers. (If there is no real solution, enter NO REAL SOLUTION.) Sy = e4x ly = e2x + 6 (x, y) = Need Help? Read It
Transcribed Image Text:Find all solutions (x, y) of the given system, where x and y are real numbers. (If there is no real solution, enter NO REAL SOLUTION.) Sy = e4x ly = e2x + 6 (x, y) = Need Help? Read It
Expert Solution
Step 1

Given equation are

y=e4x......(1)y=e2x+6......(2)

using equation (2)

e2x=y-6

Substitute the value of 'y' in equation (1)

y=y-62y=y2+36-12yy2-13y+36=0y2-9y-4y+36=0yy-9-4y-9=0y=4,9

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