`5x - 5y = -5, -2x - 3y = 7` Use matricies to solve the system of equations (if possible). Use Gauss-Jordan elimination.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Given system of equations are

5x - 5y = -5, -2x - 3y = 7

so ,we get the matrices as

A = `[[5, -5], [-2, -3]]`

and

B = `[[-5], [7]]`

the augmented matrix [AB] = `[[5, -5, -5], [-2, -3, 7]]`

 

 

on solving the [AB] we get the values of x,y

Step 1. Make the pivot in the 1st column by dividing the 1st row by 5

`[[1, -1, -1], [-2, -3, 7]]`

 

step 2. Multiply the 1st row by -2

`[[-2, 2, 2], [-2, -3, 7]]`

 

step 3. Subtract the 1st row from the 2nd row

`[[1, -1, -1], [0, -5, 5]]`

 

step 4. divide the second row with -5 we get

`[[1, -1, -1], [0, -1, 1]]`

 

Step 5.  subtract the 2 nd row from 1st row we get

`[[1, 0, -2], [0, -1, 1]]`

                 

step 6. multiply the 2 nd row with -1

`[[1, 0, -2], [0, 1, -1]]`

 

 

so the vlaues of x,y are x= -2 , y =-1

 

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial