Consider the following system of linear equations. 4x+12y=-24 -8x-20y=36 Solve the system by completing the steps below to produce a reduced row-echelon form. R₁ and R, denote the first and second rows, respectively. The arrow notation (→) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed. (a) For each ste
Consider the following system of linear equations. 4x+12y=-24 -8x-20y=36 Solve the system by completing the steps below to produce a reduced row-echelon form. R₁ and R, denote the first and second rows, respectively. The arrow notation (→) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed. (a) For each ste
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 5ECP
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![Consider the following system of linear equations.
4x+12y=-24
-8x-20y=36
Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R₂ denote the first and second rows, respectively. The arrow
notation (→) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed.
(a) For each step below, enter the coefficient for the row operation. The
first matrix in Step 1 is the augmented matrix for the given system of
equations.
Step 1:
4
-8 -20
12 1 -24
36
Step 2:
- 20
36
R₁ R₁
R₁ + R₂-
→ R₂
-8
3
- 20
36
CD
8 08
X
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3510745c-b224-4e3c-988a-4a06d65307ae%2Fae2dae02-7a54-4cda-b122-2b5ee78e2e62%2F2ft1ino_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following system of linear equations.
4x+12y=-24
-8x-20y=36
Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R₂ denote the first and second rows, respectively. The arrow
notation (→) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed.
(a) For each step below, enter the coefficient for the row operation. The
first matrix in Step 1 is the augmented matrix for the given system of
equations.
Step 1:
4
-8 -20
12 1 -24
36
Step 2:
- 20
36
R₁ R₁
R₁ + R₂-
→ R₂
-8
3
- 20
36
CD
8 08
X
3
![Step 2:
1
3 1 -6
-8 -20 36
Step 3:
[63]
04
-6
- 12
1
-6
[3]
X =
(b) Give the solution.
R₁ + R₂ R₂
R₂ R₂
-
y = 0
R₂ + R, R₁
3
4
[3]
Step 4: Enter the coefficient for the row operations and the missing entries
in the resulting matrix.
6
12
-6
-3
0
(316](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3510745c-b224-4e3c-988a-4a06d65307ae%2Fae2dae02-7a54-4cda-b122-2b5ee78e2e62%2Fvn2u3s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Step 2:
1
3 1 -6
-8 -20 36
Step 3:
[63]
04
-6
- 12
1
-6
[3]
X =
(b) Give the solution.
R₁ + R₂ R₂
R₂ R₂
-
y = 0
R₂ + R, R₁
3
4
[3]
Step 4: Enter the coefficient for the row operations and the missing entries
in the resulting matrix.
6
12
-6
-3
0
(316
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