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\n\n3.\u00a0[latex]\\left(-2,-5\\right)[\/latex]\n\n4.\u00a0[latex]\\left(-6,-2\\right)[\/latex]\n\n5.\u00a0[latex]\\left(10,-4\\right)[\/latex]\n\n6.\u00a0No solution. It is an inconsistent system.\n\n7.\u00a0The system is dependent so there are infinite solutions of the form [latex]\\left(x,2x+5\\right)[\/latex].\n\n8.\u00a0700 children, 950 adults\n1.\u00a0Not a solution.<\/p>\n
2.\u00a0The solution to the system is the ordered pair [latex]\\left(-5,3\\right)[\/latex].<\/p>\n
<\/p>\n
3.\u00a0[latex]\\left(-2,-5\\right)[\/latex]<\/p>\n
4.\u00a0[latex]\\left(-6,-2\\right)[\/latex]<\/p>\n
5.\u00a0[latex]\\left(10,-4\\right)[\/latex]<\/p>\n
6.\u00a0No solution. It is an inconsistent system.<\/p>\n
7.\u00a0The system is dependent so there are infinite solutions of the form [latex]\\left(x,2x+5\\right)[\/latex].<\/p>\n
8.\u00a0700 children, 950 adults<\/p>\n
1.\u00a0No, you can either have zero, one, or infinitely many. Examine graphs.<\/p>\n
3.\u00a0This means there is no realistic break-even point. By the time the company produces one unit they are already making profit.<\/p>\n
5.\u00a0You can solve by substitution (isolating [latex]x[\/latex] or [latex]y[\/latex] ), graphically, or by addition.<\/p>\n
7.\u00a0Yes<\/p>\n
9.\u00a0Yes<\/p>\n
11.\u00a0[latex]\\left(-1,2\\right)[\/latex]<\/p>\n
13.\u00a0[latex]\\left(-3,1\\right)[\/latex]<\/p>\n
15.\u00a0[latex]\\left(-\\frac{3}{5},0\\right)[\/latex]<\/p>\n
17.\u00a0No solutions exist.<\/p>\n
19.\u00a0[latex]\\left(\\frac{72}{5},\\frac{132}{5}\\right)[\/latex]<\/p>\n
21.\u00a0[latex]\\left(6,-6\\right)[\/latex]<\/p>\n
23.\u00a0[latex]\\left(-\\frac{1}{2},\\frac{1}{10}\\right)[\/latex]<\/p>\n
25.\u00a0No solutions exist.<\/p>\n
27.\u00a0[latex]\\left(-\\frac{1}{5},\\frac{2}{3}\\right)[\/latex]<\/p>\n
29.\u00a0[latex]\\left(x,\\frac{x+3}{2}\\right)[\/latex]<\/p>\n
31.\u00a0[latex]\\left(-4,4\\right)[\/latex]<\/p>\n
33.\u00a0[latex]\\left(\\frac{1}{2},\\frac{1}{8}\\right)[\/latex]<\/p>\n
35.\u00a0[latex]\\left(\\frac{1}{6},0\\right)[\/latex]<\/p>\n
37.\u00a0[latex]\\left(x,2\\left(7x - 6\\right)\\right)[\/latex]<\/p>\n
39.\u00a0[latex]\\left(-\\frac{5}{6},\\frac{4}{3}\\right)[\/latex]<\/p>\n
41.\u00a0Consistent with one solution<\/p>\n
43.\u00a0Consistent with one solution<\/p>\n
45.\u00a0Dependent with infinitely many solutions<\/p>\n
47.\u00a0[latex]\\left(-3.08,4.91\\right)[\/latex]<\/p>\n
49.\u00a0[latex]\\left(-1.52,2.29\\right)[\/latex]<\/p>\n
51.\u00a0[latex]\\left(\\frac{A+B}{2},\\frac{A-B}{2}\\right)[\/latex]<\/p>\n
53.\u00a0[latex]\\left(\\frac{-1}{A-B},\\frac{A}{A-B}\\right)[\/latex]<\/p>\n
55.\u00a0[latex]\\left(\\frac{CE-BF}{BD-AE},\\frac{AF-CD}{BD-AE}\\right)[\/latex]<\/p>\n
57.\u00a0They never turn a profit.<\/p>\n
59.\u00a0[latex]\\left(1,250,100,000\\right)[\/latex]<\/p>\n
61.\u00a0The numbers are 7.5 and 20.5.<\/p>\n
63.\u00a024,000<\/p>\n
65.\u00a0790 sophomores, 805 freshman<\/p>\n
67.\u00a056 men, 74 women<\/p>\n
69.\u00a010 gallons of 10% solution, 15 gallons of 60% solution<\/p>\n
71.\u00a0Swan Peak: $750,000, Riverside: $350,000<\/p>\n
73.\u00a0$12,500 in the first account, $10,500 in the second account.<\/p>\n
75.\u00a0High-tops: 45, Low-tops: 15<\/p>\n
77.\u00a0Infinitely many solutions. We need more information.<\/p>\n\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t
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