The row echelon form of a system of linear equations is given.(a)Writethesystemofequationscorrespondingtothegivenmatrix.Usex,y;orx,y,z;orx_1,x_2,x_3,x_4 asvariables.(b)Determinewhetherthesystemisconsistentorinconsistent.Ifitisconsistent,givethesolution.\left[10215−1\right]

beljuA

beljuA

Answered question

2021-06-25

The row echelon form of a system of linear equations is given.
(a)Write the system of equations corresponding to the given matrix.Usex,y;orx,y,z;or x1,x2,x3,x4 asvariables.
(b)Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [125011]

Answer & Explanation

StrycharzT

StrycharzT

Skilled2021-06-26Added 102 answers

(a) The system of equations corresponding to the given matrix is
x+2y=5
y=-l
(b) Putting y = —1 in the first equation we get
x+2(—1)=5 i.e. x= 7. So, the given system of equation is consistent and x = 7, y = —1 is the solution of the given system of equations.

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