Hi! Can someone check this for me? My teacher wants me to write the system of equations that will correspond to the final matrix. I have the matrix already, but I need help with the writing the system stuff. Thanks!
Matrix: [-10 2 | 48]
[-5 -6/4 |-9]
My answer: 10x+2y=48
-5x+-6/4y=-9
How about
-10x + 2y = 48
-5x - 3/2 y = -9
or, even better,
-5x + y = 24
-10x - 3y = -18
or, getting rid of all the useless minus signs,
5x - y = -24
10x + 3y = 18
She wants me to do this sequentially, too. Is that done sequentially?
Hi! Sure, I can help you with that. To write a system of equations corresponding to a matrix, you need to consider each row in the matrix as an equation. Here's how you can write the system of equations for the given matrix:
From the first row of the matrix, we get the equation: -10x + 2y = 48
From the second row of the matrix, we get the equation: -5x - (6/4)y = -9
So, your answer is correct! The system of equations corresponding to the given matrix is:
-10x + 2y = 48
-5x - (6/4)y = -9
Hope this helps! Let me know if you have any other questions.