) Solve the system using Cramer's Rule. x 4x + 9y = + 6y = -3 1 First, write the system as a matrix equation in the form Ax = bland find the determinant of A. det(A) = Next, find the determinants of A₁ (b) and A₂ (b), which are the matrices produced from Al by replacing columns 1 and 2, respectively, with b. det(A₁ (b)) = det(A₂ (b)) = y = Finally, use Cramer's rule to solve the system: x =

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve the system using Cramer's Rule.
X
+ 6 y
4x + 9 y
=
=
y =
-3
First, write the system as a matrix equation in the form Ax =
det(A) =
Next, find the determinants of A₁ (b) and A₂ (b), which are the matrices produced from Al by replacing columns 1 and 2, respectively, with b.
det(A₁ (b)) =
det(A₂(b)) =
Finally, use Cramer's rule to solve the system:
X =
bland find the determinant of A.
Transcribed Image Text:Solve the system using Cramer's Rule. X + 6 y 4x + 9 y = = y = -3 First, write the system as a matrix equation in the form Ax = det(A) = Next, find the determinants of A₁ (b) and A₂ (b), which are the matrices produced from Al by replacing columns 1 and 2, respectively, with b. det(A₁ (b)) = det(A₂(b)) = Finally, use Cramer's rule to solve the system: X = bland find the determinant of A.
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