Two- Variable Inequalities

In Elementary Algebra we have wise to(p) how to solve systems of equations. The resolvent to a system of elongate equations is the point where the graphs of the lines intersect. The origin to a system of elongated in meetities is every point in a region of the graph where the inequalities overlap, rather than the point of intersection of the lines (Slavin, cc1).This week appellative required to solve problem 68 on page 539 (Dugopolski, 2012). I volition be giving a detailed presentation on math required for the solution to this problem the accompanying graph shows twain of the possibilities for the number of refrigerators and the number of TVs that will fit into an 18-wheeler. The point-slope form of a linear equation to write the equation itself can now be physical exercised. These ar the steps we take to solve our linear inequality. I will go forth with the point-slope form. Substitute slope form with (300, 0) for the x and y. Next we are difference to use the distribu tive property and then add 330 to both sides and separate both sides by -3 and cancel out identical terms.The graph has a solid line rather than a dashed line indicating that points on the line itself are part of the solution set. This will be certain anytime the inequality symbol has the equal to bar.a) Write an inequality to describe this region.p = y1-y2 /x1-x2 = 330 0 / 0-one hundred ten = -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 expression switch by place the y on the right hand side -3x/-3 = y/-3 330/ -3 divide each equation by -3 and cancel out like terms -3y = 1x + cx -3y + 1x 110b) Will the hand truck cause 71 refrigerators and 118 TVs? In this problem I will be substituting 71 where the y is for refrigerators and 118 where the x is for TVs to determine if the truck will hold them.-3 (71) + 1 (118) 110 -213 + 118 110 -95 110 Which means that the truck will not hold 71 refrigerators and 118 TVs.c) Will the tr uck hold 51 refrigerators and 176 TVs? This problem is convertible to the previous one.-3 (51) + 1 (176) 110 -153 +176 110 23 110 yes, the truck will hold at least 51 refrigerators and 176 TVsThe Burbank Buy more than store is going to make an order which will include at most 60 refrigerators. What is the maximum number of TVs which could also be delivered on the like 18-wheeler? Describe the restrictions this would add to the existing graph. Solving for y1(60) + -3y 110 -3y -60 + 110 add 110 to -60 to get 50 -3y 50 divide both terms by -3 -3y/-3 50/-3 signs flip y -50/3 or y = 16There will be no added restriction because the maximum add up of TVs The next day, the Burbank Buy More decides they will have a telecasting sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the same truck? Describe the restrictions this would add to the original graph. 1x + -3 (200) 110x 600 + 100 x = 7 10 If 200 TVs are ship.When graphing linear inequalities and they are greater than or less than you will use a dashed line. When the inequality is greater than or equal to or less than or equal to you will then use a solid line, which indicates that the points on the line are part of the solution set (Slavin, 2001). In this paper I have shown you a linear equation and broke down each step in puzzle out the equation. I used the method of substitution for the variables and explained what the equations represent.