CHAPTER+3

  GRAPHING LINES SLOPE, INTERCEPTS WRITING EQUATIONS OF LINES SYSTEMS OF 2 VARIABLES: GRAPHIC, ELIMINATION, CRAMER'S RULE Linear Inequalities in 2 variables FUNCTIONS, COMPOSITION OF FUNCTIONS [|Link for composition of functions]         Relations, Domain, Range <span style="COLOR: rgb(14,30,216); BACKGROUND-COLOR: rgb(207,203,12)"><span style="COLOR: rgb(230,59,0); BACKGROUND-COLOR: rgb(12,22,192)"><span style="COLOR: rgb(224,63,0); BACKGROUND-COLOR: rgb(1,20,218)"><span style="COLOR: rgb(220,68,4); BACKGROUND-COLOR: rgb(2,9,207)"><span style="COLOR: rgb(245,119,0)"><span style="BACKGROUND-COLOR: rgb(255,107,15)">[|Link for relations,domain,range] LINEAR PROGRAMMING <span style="COLOR: rgb(217,218,7); BACKGROUND-COLOR: rgb(0,32,255)"><span style="COLOR: rgb(5,14,194); BACKGROUND-COLOR: rgb(236,211,9)"><span style="COLOR: rgb(224,65,0); BACKGROUND-COLOR: rgb(9,12,185)"><span style="COLOR: rgb(228,54,1); BACKGROUND-COLOR: rgb(6,15,208)"><span style="COLOR: rgb(208,65,6); BACKGROUND-COLOR: rgb(3,24,206)"><span style="COLOR: rgb(245,76,0)"><span style="BACKGROUND-COLOR: rgb(249,84,11)">[|Link to solve linear Programming]  <span style="FONT-FAMILY: Symbol; BACKGROUND-COLOR: rgb(255,16,0)"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">  <span style="COLOR: rgb(24,22,192)">[|linear programming problem] SYSTEMS OF 3 VARIABLES: ELIMINATION, CRAMER'S RULE, DETERMINANTS <span style="COLOR: rgb(205,15,4); BACKGROUND-COLOR: rgb(13,25,165)"><span style="COLOR: rgb(242,247,2); BACKGROUND-COLOR: rgb(23,60,217)"><span style="COLOR: rgb(11,37,168); BACKGROUND-COLOR: rgb(247,232,24)"><span style="COLOR: rgb(224,62,0); BACKGROUND-COLOR: rgb(6,5,204)"><span style="COLOR: rgb(224,49,0); BACKGROUND-COLOR: rgb(4,13,210)"><span style="COLOR: rgb(241,76,9); BACKGROUND-COLOR: rgb(12,20,228)"><span style="COLOR: rgb(235,96,0)"><span style="BACKGROUND-COLOR: rgb(234,72,11)">[|Link for Cramers Rule]               [|link for cramer] <span style="COLOR: rgb(0,0,0)"> 2x+5y+2z=-5 <span style="COLOR: rgb(0,0,0)"> -3x+3y+5z=2 <span style="COLOR: rgb(0,0,0)"> x+4y-z=3 <span style="COLOR: rgb(0,0,0)"> Select two equations and eliminate one variable <span style="COLOR: rgb(0,0,0)"> 2x+5y+2z=-5 <span style="COLOR: rgb(0,0,0)"> 2x+8y-2z=6 <span style="COLOR: rgb(0,0,0)"> -3y+4z=-11 <span style="COLOR: rgb(0,0,0)"> Select two other equations and eliminate the same variable <span style="COLOR: rgb(0,0,0)"> -3x+3y+5z=2 <span style="COLOR: rgb(0,0,0)"> 3x+12y-3z=-9 <span style="COLOR: rgb(0,0,0)"> 15y+2z=11 <span style="COLOR: rgb(0,0,0)"> Pair up the resulting equations and solve <span style="COLOR: rgb(0,0,0)"> -3y+4z=-11 -15y+20z=-55 <span style="COLOR: rgb(0,0,0)"> 15y+2z=11 15y+2z=11 <span style="COLOR: rgb(0,0,0)"> 22z=-44 <span style="COLOR: rgb(0,0,0)"> Z=-2 <span style="COLOR: rgb(0,0,0)"> 15y-4=11 <span style="COLOR: rgb(0,0,0)"> 15y=15 <span style="COLOR: rgb(0,0,0)"> Y=1 <span style="COLOR: rgb(0,0,0)"> 2x+5-4=-5 <span style="COLOR: rgb(0,0,0)"> 2x=-6 <span style="COLOR: rgb(0,0,0)"> X=-3
 * <span style="COLOR: rgb(0,0,0)"> <span style="COLOR: rgb(205,15,4); BACKGROUND-COLOR: rgb(13,25,165)"><span style="COLOR: rgb(255,255,255); BACKGROUND-COLOR: rgb(0,0,0)"><span style="COLOR: rgb(255,255,255); BACKGROUND-COLOR: rgb(0,0,0)"><span style="COLOR: rgb(255,255,255); BACKGROUND-COLOR: rgb(0,0,0)"><span style="COLOR: rgb(235,96,0)">Elimination       **

<span style="COLOR: rgb(255,255,255); BACKGROUND-COLOR: rgb(0,0,0)">WORD PROBLEMS [|2 vars problem]