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1 vote
Which matrix equation can be used to solve the system?
(2x+ 5y = 15
X + 3y = 18

Which matrix equation can be used to solve the system? (2x+ 5y = 15 X + 3y = 18-example-1

2 Answers

3 votes

Answer:

option 3

Explanation:


AX = B\\X = A^(-1)B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right]


det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]


A^(-1) = (1)/(det A) * Adj A


= 1 * \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\= \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]

Therefore,


X = A^(-1)B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\

User Miraj Khandaker
by
7.8k points
6 votes

THE CORRECT OPTION IS A where the input data is correct

User Ginia
by
7.6k points

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