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Solve system of linear equations, using ...

Solve system of linear equations, using matrix method,
`4x - 3y = 3" "``3x- 5y = 7`

Text Solution

Verified by Experts

Given equations are,
`4x-3y = 3` and `3x-5y = 7`
Let `A = [[4,-3],[3,-5]], X = [[x],[y]], B = [[3],[7]]`
`:. AX = B => X = A^-1B`
So, we first will find `A^-1.` `|A| = -20+9 = -11`
Now, `adj. A = [[-5,3],[-3,4]]`
`:. A^-1 = -1/11[[-5,3],[-3,4]] = [[5/11,-3/11],[3/11,-4/11]]`
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