Given system of equations are
`8x - 4y = 7, 5x + 2y = 1`
so the matrices A and B are given as follows
A = `[[8, -4], [5, 2]]`
B = `[[7], [1]]`
so the augmented matrix is [AB] = `[[8, -4, 7], [5, 2, 1]]`
on solving this we get the values of x,y .
step 1 . Make the pivot in the 1st column by dividing the 1st row by 8
`[[1, -1/2, 7/8],...
Given system of equations are
`8x - 4y = 7, 5x + 2y = 1`
so the matrices A and B are given as follows
A = `[[8, -4], [5, 2]]`
B = `[[7], [1]]`
so the augmented matrix is [AB] = `[[8, -4, 7], [5, 2, 1]]`
on solving this we get the values of x,y .
step 1 . Make the pivot in the 1st column by dividing the 1st row by 8
`[[1, -1/2, 7/8], [5, 2, 1]]`
step 2 . muptiply the 1st row by 5
`[[5, -5/2, 35/8], [5, 2, 1]]`
step 3 . subtract the 1st row from the 2nd row
`[[1, -1/2, 7/8], [0, 9/2, -27/8]]`
step 4 divide the second row by 9/2
`[[1, -1/2, 7/8], [0, 1, -3/4]]`
step 5 multiply the 2nd row by -1/2 and subtract the 2nd row from the 1st row
`[[1, 0, 1/2], [0, 1, -3/4]]`
so, the values of x, y are x= 1/2 and y = -3/4
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