c) For a linear system with infinite solutions, the lines must be coincident so they intersect at every possible point. The equations must be equivalent. The equation is: + = 3 –6x y To determine an equivalent equation, multiply each term by a non-zero number, such as 2. 2(–6x) + 2(y) = 2(3) Simplify. + 2y = 6 –12x A possible linear system with infinite solutions is: + = 3 y –6x + 2y = 6 –12x Hw pg 448 #4-6 #7,8,10-12,17, #23-24
c) For a linear system with infinite solutions, the lines must be coincident so they intersect at every possible point. The equations must be equivalent. The equation is: –6x + y = 3 To determine an equivalent equation, multiply each term by a non-zero number, such as 2. 2(–6x) + 2(y) = 2(3) Simplify. –12x + 2y = 6 A possible linear system with infinite solutions is: –6x + y = 3 –12x + 2y = 6 Hw pg 448 #4-6 #7,8,10-12,17, #23-24
miap_ch_7_notes_answer_key.docx