M megan0430 New member Joined Aug 23, 2006 Messages 30 Aug 23, 2006 #1 Find the value of "A" so that (A + B)x + (A - B)y = 4 and x + y = 1 are the same lines. Please help me. Thank you so much!
Find the value of "A" so that (A + B)x + (A - B)y = 4 and x + y = 1 are the same lines. Please help me. Thank you so much!
M Mrspi Senior Member Joined Dec 17, 2005 Messages 2,116 Aug 23, 2006 #2 Re: Algebra PROBLEM! HELP PLEASE <3 megan0430 said: Find the value of "A" so that (A + B)x + (A - B)y = 4 and x + y = 1 are the same lines. PLEASE HELP ME. THANK YOU SOO MUCH! Click to expand... If they are the same lines, then they have the same slope, and the same y-intercept. I'd try putting each equation into slope-intercept form. (A + B) x + (A - B) y = 4 (A - B) y = 4 - (A + B)x y = 4 / (A - B) - [(A + B) / (A - B)] x y = - [(A + B) / (A - B)] x + 4 / (A - B) x + y = 1 y = -x + 1 Ok...in order for these lines to be the same, the slopes must be equal -[(A + B) / (A - B)] = -1 and the y-intercepts must be equal 4 / (A - B) = 1 You've got two equations in two variables.... I hope this helps you.
Re: Algebra PROBLEM! HELP PLEASE <3 megan0430 said: Find the value of "A" so that (A + B)x + (A - B)y = 4 and x + y = 1 are the same lines. PLEASE HELP ME. THANK YOU SOO MUCH! Click to expand... If they are the same lines, then they have the same slope, and the same y-intercept. I'd try putting each equation into slope-intercept form. (A + B) x + (A - B) y = 4 (A - B) y = 4 - (A + B)x y = 4 / (A - B) - [(A + B) / (A - B)] x y = - [(A + B) / (A - B)] x + 4 / (A - B) x + y = 1 y = -x + 1 Ok...in order for these lines to be the same, the slopes must be equal -[(A + B) / (A - B)] = -1 and the y-intercepts must be equal 4 / (A - B) = 1 You've got two equations in two variables.... I hope this helps you.
