Just by adding the second row to the first one in the matrix, we can see that the solution of the system of equations is x = 0.5 and y = 20.
Here we have the system of equations:
300x - y = 130
200x + y = 120
And we want to solve it using a matrix equation. Remember that we could add the two rows, subtract them, etc to remove one of the variables.
Here is really simple to see that if we add the two rows (or the two equations, depending on how you see the system) the variable y will be removed.
Then we can add the second row to the first one to get.
(300x + 200x) + (-y + y) = (130 + 120)
Now our matrix will look like:
500x + 0y = 250
200x + y = 120
With the first row we can find the value of x, it just is:
x = 250/500 = 0.5
And with taht we can find the value of y:
200*0.5 + y = 120
100 + y = 120
y = 120 - 100 = 20
Just by adding two rows, we can see that the solution of the system of equations is x = 0.5 and y = 20.
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
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