Solve the system of equations using Gaussian elimination 4x-8y=12 -x+2y=-3

Maiclubk 2021-02-04 Answered
Solve the system of equations using Gaussian elimination
4x-8y=12
-x+2y=-3
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Expert Answer

Obiajulu
Answered 2021-02-05 Author has 98 answers
Step 1
The system of equations is given by,
4x-8y=12
-x+2y=-3
Step 2
Find the solution of system of equations, it is need to write an equivalent matrix equation AX=B .
[4812][xy]=[123]
Find the inverse matrix by using Gauss-Jordan elimination method.
That is, apply the row equivalent operations to the matrix.
Consider the matrix A=[4812].
Form of an augment matrix, in order to find the inverse matrix.
That is, form an matrix contains of A on the left side and the 2×2 identify matrix on the right side.
[4812123]
Step 3
Divide the first row by 4 as follows.
[123123] New row 1=14 row 1
Add the first and second rows as follows.
[123000] New row 2 = row 1 + row 2
Thus, the system of equations has a solution set is {x2y=3..
Step 4
Answer:
The system of equations has a solution set {x2y=3..
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