Write the augmented matrix for the system of linear equations.
7x + 4y = 53
5x − 9y = −57
I got this answer but my online assignment said it's wrong please help me
1 0 3
0 1 8
To write the augmented matrix for the given system of linear equations:
First, write down the coefficients of the variables as the entries in the respective rows. The coefficients of x and y in the first equation are 7 and 4, respectively. The coefficients of x and y in the second equation are 5 and -9, respectively.
So our augmented matrix for the system of linear equations is:
[7 4 | 53]
[5 -9 | -57]
To write the augmented matrix for the given system of linear equations, we will represent the coefficients and constants of the equations in a table format, with the variables on the left side and the constants on the right side. Here's how we can do it:
1. Write the coefficients of the variables in the same order they appear in the equations:
7 4
5 -9
2. Write the constants on the right side:
53
-57
3. Combine the coefficients and constants to form a matrix:
[ 7 4 | 53 ]
[ 5 -9 | -57 ]
Thus, the augmented matrix for the given system of linear equations is:
[ 7 4 | 53 ]
[ 5 -9 | -57 ]
7 4 53
5 -9 -57
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