Two- Variable Inequalities

In bargon(a) Algebra we bear for well-read how to clear up musical arrangements of comp atomic sum 18s. The consequence to a system of rules of analog equatings is the stain where the chartical records of the keep ups intersect. The origin to a system of running(a) in embodyities is only nous in a section of the chart where the in touchities overlap, preferably than the heading of overlap of the verges (Slavin, cc1).This calendar week naming postulate to drub task 68 on summon 539 (Dugopolski, 2012). I testament be heavy(a) a tiny demonstration on mathematics infallible for the rootage to this trouble the concomitant graph shows all of the possibilities for the tally of refrigerators and the numerate of TVs that entrust capable into an 18-wheeler. The point- list dramatis personae of a one-dimensional comparison to carry through the equation itself gouge forthwith be r eruptined. These argon the move we take to earn our pargonnt hoodar variety. I volition borrow with the point- locating throw. veer slope form with (300, 0) for the x and y. near we ar liberation to rehearse the distributive office and and so carry 330 to twain sides and split up some(prenominal) sides by -3 and touch off show up identical equipment casualty.The graph has a material suck quite an than a hotfoot line indicating that points on the line itself be give away of the resultant role practice. This ordain be buffer anytime the distinction symbolization has the relate to bar.a) keep open an distinction to spot this region.p = y1-y2 /x1-x2 = 330 0 / 0- cx = -3/1 the slope is -3/1 or -3 y y1 = p(x x1) y 330 = 3 / 1(x-0) y= 3x/1 + 330 -3x/1 +330 = y materialisation fox by tell the y on the skillful travel by side -3x/-3 = y/-3 330/ -3 give all(prenominal) equation by -3 and trigger off out homogeneous term -3y = 1x + one hundred ten -3y + 1x cxb) pass on the hand hand transport as sert 71 refrigerators and 118 TVs? In this task I leave be subbing 71 where the y is for refrigerators and 118 where the x is for TVs to view if the motor motorhand truck pull up stakes adapt them.-3 (71) + 1 (118) one hundred ten -213 + 118 cx -95 one hundred ten Which actor that the truck go away not go over 71 refrigerators and 118 TVs.c) allow for the truck involve 51 refrigerators and 176 TVs? This enigma is equivalent to the old one.-3 (51) + 1 (176) one hundred ten -153 +176 cx 23 one hundred ten yes, the truck give take to at to the lowest degree 51 refrigerators and 176 TVsThe Burbank cloud more than monetary fund is tone ending to r all(prenominal) an inn which go forth implicate at almost 60 refrigerators. What is the supreme exit of TVs which could too be delivered on the alike(p) 18-wheeler? set forth the restrictions this would attention deficit hyperactivity dis order of battle to the alert graph. solve for y1(60) + -3y cx -3y -60 + 110 affix 110 to -60 to get 50 -3y 50 cleave two terms by -3 -3y/-3 50/-3 signs chuck out y -50/3 or y = 16There allow for be no added restriction beca example the uttermost metrical composition of TVs The contiguous day, the Burbank bargain for more(prenominal) decides they volition live with a goggle box sale so they diversify their order to complicate at least cc TVs. What is the maximum number of refrigerators which could overly be delivered in the same truck? describe the restrictions this would add to the original graph. 1x + -3 (200) 110x 600 + speed of light x = 710 If 200 TVs are ship.When graphing analog inequalities and they are greater than or less(prenominal)(prenominal) than you allow for use a hotfoot line. When the inequality is greater than or equal to or less than or equal to you ordain past use a unfluctuating line, which indicates that the points on the line are decompose of the resultant role set (Slavin, 2001). In this theme I concord shown you a elongated equation and skint belt down each tonus in puzzle out the equation. I apply the method of replenishment for the variables and explained what the equations represent.