2х + 5y 3x + 9y -1 -3

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
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Related questions
Question
(a)
(b)
4
(i) Find the inverse of the (common) coefficient matrix of the two systems.
A-¹ =
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹B where B represents the right hand side (i.e. B =
and B =
for system (b)).
Solution to system (a): x =
, y =
Solution to system (b): x =
y =
2x + 5y
3x +9y
2x + 5y
3x +9y
1
-3
1
77
-3
for system (a)
Transcribed Image Text:(a) (b) 4 (i) Find the inverse of the (common) coefficient matrix of the two systems. A-¹ = (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹B where B represents the right hand side (i.e. B = and B = for system (b)). Solution to system (a): x = , y = Solution to system (b): x = y = 2x + 5y 3x +9y 2x + 5y 3x +9y 1 -3 1 77 -3 for system (a)
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