Further Investigations
A system such as
is not a system of linear equations nut can be transformed into a linear system by changing variables. For example, when we substitute
We can solve this “new” system either by elimination by addition or by substitution (we will leave the details for you) to produce
Solving these equations yields,
The solution set of the original system is
(a)

(b)

(c)

(d)

(e)

(f)

a)
To solve:
The following system.
Approach:
To convert the given system into system of linear equations,
Let’s substitute
Given:
Calculation:
The new system is,
To solve this system, we will simplify the equations,
As the coefficients of variable v are same in both the equations, we will use the eliminationbyaddition method
b)
To solve:
The following system.
c)
To solve:
The following system.
d)
To solve:
The following system.
e)
To solve:
The following system.
f)
To solve:
The following system.
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Calculus: Early Transcendentals
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Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Single Variable Calculus: Early Transcendentals, Volume I
Calculus (MindTap Course List)
Understanding Basic Statistics
Probability and Statistics for Engineering and the Sciences
Statistics for The Behavioral Sciences (MindTap Course List)
Essentials Of Statistics
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Mathematical Applications for the Management, Life, and Social Sciences
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