PiCO Posted August 30, 2011 Share Posted August 30, 2011 My brain is not working tonight. Solve for y: 6[5y-(3y-1)] = 4(3y-7) It's actually a greater-than or equal in the middle, but I can't figure out how to do that on my keyboard. Thanks for any help! Quote Link to comment Share on other sites More sharing options...
Jacquelyn in NC Posted August 30, 2011 Share Posted August 30, 2011 6[5y-(3y-1)] >= 4(3y-7) Use the distributive property on both sides: 6[5y-3y+1] >= 12y - 28 Add like terms: 6[2y + 1] >= 12y - 28 Distributive property again: 12y + 6 >= 12y - 28 6>= -28 ALWAYS TRUE, so y is any real number. Hope that helps. Quote Link to comment Share on other sites More sharing options...
Firestar Academy Posted August 30, 2011 Share Posted August 30, 2011 6[5y-(3y-1)] >= 4(3y-7) Use the distributive property on both sides: 6[5y-3y+1] >= 12y - 28 Add like terms: 6[2y + 1] >= 12y - 28 Distributive property again: 12y + 6 >= 12y - 28 6>= -28 ALWAYS TRUE, so y is any real number. Hope that helps. :iagree: Quote Link to comment Share on other sites More sharing options...
kiana Posted August 30, 2011 Share Posted August 30, 2011 Jacquelyn is right. Quote Link to comment Share on other sites More sharing options...
Gailmegan Posted August 30, 2011 Share Posted August 30, 2011 That's what I got too, well except I had divided 2 out earlier, so I had 3>= -14. Same answer. Quote Link to comment Share on other sites More sharing options...
PiCO Posted August 30, 2011 Author Share Posted August 30, 2011 6[5y-(3y-1)] >= 4(3y-7) Use the distributive property on both sides: 6[5y-3y+1] >= 12y - 28 Add like terms: 6[2y + 1] >= 12y - 28 Distributive property again: 12y + 6 >= 12y - 28 6>= -28 ALWAYS TRUE, so y is any real number. Hope that helps. Thanks, that helps a lot! For some reason not coming up with an actual number was not on my radar. I thought I was doing something wrong when I eliminated all the ys. Quote Link to comment Share on other sites More sharing options...
kiana Posted August 30, 2011 Share Posted August 30, 2011 Thanks, that helps a lot! For some reason not coming up with an actual number was not on my radar. I thought I was doing something wrong when I eliminated all the ys. That messes with people's heads all the time. :) Quote Link to comment Share on other sites More sharing options...
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