Hi! I posted this question yesterday and it was answered but I forgot to add something else to the directions.
Directions: Write the system of equations sequentially so that it will correspond to the final matrix.
Matrix: [-10 2 | 48]
[-5 -6/4 |-9]
My answer: 10x+2y=48
-5x+-6/4y=-9
The answer is basically correct, except for an error of sign in one place which I think you will spot readily.
Also, when there is multiplication following division, insert parentheses to express clearly what is needed.
For example,
6/4y should be interpreted as (6/4)y (left-to-right), but it might have been interpreted as 6/(4y) because of the form.
Hello! I can help you with that. In order to write the system of equations sequentially so that it corresponds to the given matrix, you need to consider the coefficients of x and y in each row of the matrix.
Looking at the first row of the matrix, we have [-10 2 | 48]. The coefficients of x and y in this row are -10 and 2 respectively. Therefore, the first equation should be -10x + 2y = 48.
Moving onto the second row of the matrix [-5 -6/4 |-9], we see that the coefficients of x and y are -5 and -6/4 respectively. However, it's important to simplify the fraction -6/4 to -3/2. Therefore, the second equation should be -5x - 3/2y = -9.
So, the correct system of equations sequentially corresponding to the given matrix is:
-10x + 2y = 48
-5x - 3/2y = -9
I hope this helps clarify the process of writing the system of equations sequentially based on the matrix! Let me know if you have any further questions.