Cramer’s Rule to solve (if possible) the system of linear equations. -8x_1+7x_2|-10x_3=-151 12x_1+3x_2-5x_3=86 15x_1-9x_2+2x_3=187

usagirl007A

usagirl007A

Answered question

2021-03-06

Cramer’s Rule to solve (if possible) the system of linear equations.
8x1+7x210x3=151
12x1+3x25x3=86
15x19x2+2x3=187

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-03-07Added 84 answers

Given system of equations
8x1+7x210x3=151
12x1+3x25x3=86
15x19x2+2x3=187
This implies that
=[871012351592]=1149
since q0,there exits a unique solution for the given system.
x1=[151710863518792]=1149
x2=[81511012865151872]=3447
x3=[8715112386159187]=3447
By cramer's rule
x1=x1,x2=x2andx3=x3
x1=114901149,,x2=34471149andx3=57451149
x1=10,x2=3andx3=5
Thus,the solution is (x1,x2,x3)=(10,3,5)

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