Solve the following systems of equations:
- (a) 2v2 − 4v1 = 9 and v1 = 5v2 = −4;
- (b) −v1 + 2v3 = 8; 2v1 + v2 − 5v3 = −7; 4v1 + 5v2 + 8v3 = 6.
(a)
Find the value of
Answer to Problem 1E
The value of
Explanation of Solution
Given data:
The given equations are,
Calculation:
Rearrange the equation (1) for
Substitute
Rearrange the above equations for
Substitute 0.389 for
Conclusion:
Thus, the value of
(b)
Find the value of
Answer to Problem 1E
The value of
Explanation of Solution
Given data:
Calculation:
Rearrange the equation (3) for
Substitute the equation (6) in equation the equation (4).
Rearrange the equation (7) for
Substitute the equation (6) and the equation (8) in equation (5).
Rearrange the equation (9) for
Substitute equation
Substitute equation
Conclusion:
Thus, the value of
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