Question

Using matrix method solve the following simultaneous equations 3x - 1y = 7 2x + 3y...

Using matrix method solve the following simultaneous equations

3x - 1y = 7

2x + 3y = 12

Homework Answers

Answer #1

Augmented matrix for given system of equations

solution using Gauss-Jordan elimination

Your matrix

X1 X2 b
1 3 -1 7
2 2 3 12

Make the pivot in the 1st column by dividing the 1st row by 3

X1 X2 b
1 1 -1/3 7/3
2 2 3 12

Eliminate the 1st column

X1 X2 b
1 1 -1/3 7/3
2 0 11/3 22/3

Make the pivot in the 2nd column by dividing the 2nd row by 11/3

X1 X2 b
1 1 -1/3 7/3
2 0 1 2

Eliminate the 2nd column

X1 X2 b
1 1 0 3
2 0 1 2

Solution set:

x1 = 3

x2 = 2

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