To solve: The system of equations algebraically by any method.
Answer to Problem 77AYU
Solution:
Explanation of Solution
Given:
Calculation:
The original system of equations can be written compactly as a matrix equation.
Where,
To solve the for x, y and = the solution of
Multiply both sides by
By association property of matrix multiplication, the above equation can be rewritten as::
By the definition of inverse matrix
By the property of Identity matrix,
Hence,
i.e.
Determining
Step 1: Construction of
Step 2: Transform the matrix
Step 3: Separate the matrix on the right of the vertical bar which is the inverse of
Solving x, y and
The solution for the given system of equations is
Chapter 11 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
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