Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6x+5y=7 and x + 4y = 17
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1. We can conclude that the result of the division is 
with a remainder of 
, or in other notation: 
. Check the steps in the first image.
3. We can conclude that the result of the division is
with a remainder of 2, or in other notation: 
. Check the steps in the firts image.
5. We can conclude that the result of the division is
with a remainder of 5, or in other notation: 
. Check the steps in the first image.
7. To check if
is a factor of 
, we are going to perform long division. If the result of the long division has no remainder, is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the second image.
9. To check if
is a factor of , we are going to perform long division. If the result of the long division has no remainder, 
is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the third image.
10. We can conclude that the result of the synthetic division is
. Check the steps in the fourth image.
3. We can conclude that the result of the division is
5. We can conclude that the result of the division is
7. To check if
Since the result of the long division has no remainder, we can conclude that
9. To check if
Since the result of the long division has no remainder, we can conclude that
10. We can conclude that the result of the synthetic division is