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System of Linear Equations

 
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hersheybr11
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Joined: 04 Nov 2009
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PostPosted: Wed, 4 Nov 2009 21:48:09 UTC    Post subject: System of Linear Equations Reply with quote

Minnesota's Kate Smith was ranked first in the WNBS for total points and three-points made. She scored 646 points making 355 shots, including 3-point field goals, 2-point field goals, and 1-point free throws. She made 27 more 2-point field goals that 3-point field goals. how many of each type shot did she make?

The answers are 152, 115, and 88.

I don't get how she did that question.
Can someone PLEASE HELP?
I've been stuck for 1/2 hour! Embarassed
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skeeter
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Joined: 22 Jun 2003
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PostPosted: Wed, 4 Nov 2009 23:07:23 UTC    Post subject: Reply with quote

x = number of 3 point shots

y = number of 2 point shots

f = number of 1 point free throws

x+y+f = 355

3x+2y+f = 646

27+x = y

solve the system
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dmoran
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Joined: 01 Jan 2004
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Location: Norman, Oklahoma

PostPosted: Wed, 4 Nov 2009 23:21:18 UTC    Post subject: Re: System of Linear Equations Reply with quote

hersheybr11 wrote:
Minnesota's Kate Smith was ranked first in the WNBS for total points and three-points made. She scored 646 points making 355 shots, including 3-point field goals, 2-point field goals, and 1-point free throws. She made 27 more 2-point field goals that 3-point field goals. how many of each type shot did she make?

The answers are 152, 115, and 88.

I don't get how she did that question.
Can someone PLEASE HELP?
I've been stuck for 1/2 hour! Embarassed


What have you tried?

Dave
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Please do not send me private messages asking for help unless you're asking about a post that I've made. Private Messages about threads that I've not participated in will be deleted and not answered.
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hersheybr11
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PostPosted: Thu, 5 Nov 2009 06:53:55 UTC    Post subject: Reply with quote

Yeah, Why is it "27+x = y," rather than "y+27=x?"
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aswoods
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Joined: 23 Feb 2009
Posts: 289
Location: Adelaide, Australia

PostPosted: Thu, 5 Nov 2009 23:26:28 UTC    Post subject: Reply with quote

She made 27 more 2-point field goals than 3-point field goals.

So, the number of 2-point field goals (y) is 27 more than the number of 3-point field goals (x).

So, y is 27 more than x.

So, y = x + 27.
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