SOLUTION: I am attempting to help my daughter with her Algebra 2 homework. I got the problem set up but have no clue how to proceed from here. The problem is (1 1 1 1 1 1

Algebra ->  Matrices-and-determiminant -> SOLUTION: I am attempting to help my daughter with her Algebra 2 homework. I got the problem set up but have no clue how to proceed from here. The problem is (1 1 1 1 1 1       Log On


   



Question 359714: I am attempting to help my daughter with her Algebra 2 homework. I got the problem set up but have no clue how to proceed from here. The problem is
(1 1 1
1 1 1
1 1 1)
The next part of the matrix which is to be multiplied is (4 over 9).
This the matrix, I think, that I need to work with.
The original problem states: 1 putt is a hole in one; 2 putts is a birdie; 3 putts is a par and 4 putts is a bogey.
Grace placed 18 holes of miniature golf. On each hole, sh made a birdie, a par, or a bogey. She made 4 more pars than birdies and bogeys combined. Her total score was 55. How many birdies did Grace get?
Now I am lost once I got the above problem set up. Can you please help?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First, name your variables.
No holes-in-one. So there are only three variables.
Let B be the number of birdies, P the number of pars, G the number of bogeys.
and each have a score of 2,3, and 4 respectively.
You know that
She played 18 holes.
1.B%2BP%2BG=18
"she has made 4 more pars than birdies and bogeys combined"
P=4%2B%28B%2BG%29
2.-B%2BP-G=4
"Her total score was 55"
3.2B%2B3P%2B4G=55
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1.B%2BP%2BG=18
2.-B%2BP-G=4
3.2B%2B3P%2B4G=55
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[A]=%28matrix%283%2C3%2C1%2C1%2C1%2C-1%2C1%2C-1%2C2%2C3%2C4%29%29
[x]=%28matrix%283%2C1%2CB%2CP%2CG%29%29
[b]=%28matrix%283%2C1%2C18%2C4%2C55%29%29
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=4
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[A]=%281%2F4%29%2A%28matrix%283%2C3%2C7%2C1%2C-2%2C2%2C2%2C0%2C-5%2C-1%2C2%29%29
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[x]=%28matrix%283%2C1%2CB%2CP%2CG%29%29=%28matrix%283%2C1%2C3%2C11%2C4%29%29
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Grace got 3 birdies, 11 pars, and 4 bogeys.