Find the value of x and y using matrix method. 2x – 5y = 7 -2x + 4y = - 6
1 answer:
9514 1404 393
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
The augmented matrix of coefficients for these equations is ...
![\left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D2%26-5%267%5C%5C-2%264%26-6%5Cend%7Barray%7D%5Cright%5D)
The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...
![\left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%260%261%5C%5C0%261%26-1%5Cend%7Barray%7D%5Cright%5D)
This tells you the solution is (x, y) = (1, -1).
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