SOLUTION: please help me During part of football, the local team has counted 6 point less than the other team. Both teams have counted a total of 66 points. What is the number of poin

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Question 108323: please help me
During part of football, the local team has counted 6 point less than the other team.
Both teams have counted a total of 66 points.
What is the number of points scored by each team?
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

During part of football,
the-+local-+team=+x has counted 6-+point-+less+-than+-the+-other-+team+=+y, and we can write it:
1. x+=+y+-+6

Both teams have counted a+-total-+of-+66+-points, and we write it:
2. x+%2B+y+=+66

What is the number of points scored by each team?

start with equation 2.:
x+%2B+y+=+66... substitute equation 1. into equation 2., and we will have:
y+-+6+%2B+y+=+66
2y+-+6+=+66.... move -6 to the right
2y+=+66+%2B+6
2y+=+72....divide both sides by 2
%282%2F2%29y+=+72%2F2
y+=+36
So, the number of points scored by each team is:
the+-other-+team scored 36 points, and
the-+local-+team scored 36+-+6+=+30 points
check a+-total
a+-total is 36+%2B+30+=+66