Question

Solve Special Systems by Graphing Example Solve each system by graphing. (a) 3x + y = 4 6x + 2y=1 ALWAYS LEARNING Copyright 2018, 2014, 2010 Pearson Education Inc. P Pearson Type here to search Slide - 9 o BI E 3

Answer 1

Solution given system of equin -0) et y = 6+12y=1 have to solved the given system of equho canal equin By graphing method find egun 0 & equh D having Co-ordinates put equh ④ in x = 0, IS+ Step → then 3x0+7=4 17 = 4 cagan Puct y=0 pult 7²0 in equh 0, then 3x to → 37 37 = 4 ㅋ 4 /3 = 1.3 Tobtel 0 14 Now put equh ④ in xo. then 6x07 d y = 1 ㅋ do: 1 = 42 a 18 = 0.5

again put to Put zo in equh , then 64 22x0=1 a) 6740-1 02 : 1 x = 4/6 T 7: 0.16 0.16 C Table Il. - 0 9 10.5 0 2nd step → these point Table 14 Table II the present in graph, AZ-axis so we get 410.4) 5 2 I (0,0062 (1.3,0) Dopy -4. -3 -2 -1 2 1 + X-OXIS 3 4 1 2 3717= 4 -3 6x + 2 y = 1 q

+ The behaviour of lines lip presenting a parisk of limeas equations in two variables and the existence of Solutions as follows → the lines are intersect in a single point in this pair of equations has a unique solution. 01 Case the 02. the lines are: parallel in this case, the equation have no Solutions 03 the lines que coincident in this case the equation have Infinitely many solution.

Hence in the doraw above graph having obtained parallel lines. so use (62) Mace. we get the system of equn 0 & equh havi iving no Sorelion Thanku