Solve the system of equations x_1−3x_2+4x_3=-4 3x_1−7x_2+7x3=-8 −4x_1+6x_2−x_3=7

Chardonnay Felix 2020-10-25 Answered
Solve the system of equations x13x2+4x3=4
3x17x2+7x3=8
4x1+6x2x3=7
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Expert Answer

cyhuddwyr9
Answered 2020-10-26 Author has 90 answers

Given:
x13x2+4x3=4
3x17x2+7x3=8
4x1+6x2x3=7
Step 1
Find the value of δ1 & δ2
δ1=[434377461]
=1(7-42)+3(-3+28)+4(18-28)
=-35+75-40
=0
Step 3
δ1=[434877761]
=-4(7-42)+3(8-49)+(-48+49)
=140-123
=210
according to cramers rule if value of is zero and if any one of  1, 2or 3 is non zero then the system of linear equations has no solution.
therefore the given system of linear equations has no solution

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