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

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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) (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 be the number of birdies, the number of pars, the number of bogeys.
and each have a score of 2,3, and 4 respectively.
You know that
She played 18 holes.
1.
"she has made 4 more pars than birdies and bogeys combined"

2.
"Her total score was 55"
3.
.
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1.
2.
3.
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[A]=
[x]=
[b]=
.
.
.
[A][x]=[b]
[x]=[A]inv[b]
.
.
.
det[A]=
.
.
.
[A]=
.
.
.
[x]=
.
.
.
Grace got 3 birdies, 11 pars, and 4 bogeys.