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When dealing with an equation with one variable When dealing with an equation with one variable 2x + 5 = 11 When dealing with an equation with one variable You generally get one solution 2x + 5 = 11 x = that can be put in for x to make the equation work This means that the number When dealing with an equation with one variable You generally get one solution 2x + 5 = 11 x = 3 is the only number that can be put in for x to make the equation work This means that the number 3 is the only number When dealing with an equation with one variable You generally get one solution 2x + 5 = 11 2(3) + 5 = 11 x = 3 + 5 = 11 But with two variable equations But with two variable equations x + y = 5 There is not only one set of answers that work But with two variable equations x + y = 5 There is not only one set of answers that work But with two variable equations x = 2 y = 3 x + y = 5 There is not only one set of answers that work But with two variable equations x = 2 y = 3 x + y = 5 2 + 3 = 5 There is not only one set of answers that work But a variety of answers that will work But with two variable equations x = 2 y = 3 x + y = 5 2 + 3 = 5 x = 1 y = 4 1 + 4 = 5 There is not only one set of answers that work But a variety of answers that will work But with two variable equations x = 2 y = 3 x + y = 5 2 + 3 = 5 x = 1 y = 4 1 + 4 = 5 There is not only one set of answers that work But a variety of answers that will work But with two variable equations x = 2 y = 3 x + y = 5 x = 0 y = 5 2 + 3 = 5 0 + 5 = 5 x = 1 y = 4 1 + 4 = 5 There is not only one set of answers that work But a variety of answers that will work But with two variable equations x = 2 y = 3 x + y = 5 x = 0 y = 5 2 + 3 = 5 0 + 5 = 5 x = 5 y = 0 5 + 0 = 5 x = 1 y = 4 1 + 4 = 5 There is not only one set of answers that work But a variety of answers that will work But with two variable equations x = 2 y = 3 x + y = 5 x = 0 y = 5 2 + 3 = 5 0 + 5 = 5 x = 5 y = 0 5 + 0 = 5 In fact, the number of sets of answers is infinite In fact, the number of sets of answers is infinite x + y = 5 x = -1 y = 6 -1 + 6 = 5 In fact, the number of sets of answers is infinite x + y = 5 x = -1 y = 6 -1 + 6 = 5 In fact, the number of sets of answers is infinite x = 6 y = -1 x + y = 5 6 + -1 = 5 x = -1 y = 6 -1 + 6 = 5 In fact, the number of sets of answers is infinite x = 6 y = -1 x + y = 5 6 + (-1) = 5 x = 100 y = -95 100 + (-95) = 5 x = 0.5 y = 4.5 x = -1 y = 6 0.5 + 4.5 = 5 -1 + 6 = 5 In fact, the number of sets of answers is infinite x = 6 y = -1 x + y = 5 6 + (-1) = 5 x = 100 y = -95 100 + (-95) = 5 x = 0.5 y = 4.5 x = -1 y = 6 0.5 + 4.5 = 5 -1 + 6 = 5 In fact, the number of sets of answers is infinite x = 4.9 y = 0.1 x = 6 y = -1 4.9 + 0.1 = 5 x + y = 5 6 + (-1) = 5 x = 100 y = -95 100 + (-95) = 5 x = 0.5 y = 4.5 x = -1 y = 6 0.5 + 4.5 = 5 -1 + 6 = 5 In fact, the number of sets of answers is infinite x = 4.9 y = 0.1 x = 6 y = -1 4.9 + 0.1 = 5 x + y = 5 6 + (-1) = 5 x = -6.1 y = 11.1 x = 100 y = -95 -6.1 + 11.1 = 5 100 + (-95) = 5 x = 0.5 y = 4.5 x = -1 y = 6 0.5 + 4.5 = 5 -1 + 6 = 5 In fact, the number of sets of answers is infinite x = 4.9 y = 0.1 x = 6 y = -1 4.9 + 0.1 = 5 x + y = 5 6 + (-1) = 5 x = -6.1 y = 11.1 x = 100 y = -95 -6.1 + 11.1 = 5 100 + (-95) = 5 x = 0.5 y = 4.5 x = -1 y = 6 0.5 + 4.5 = 5 -1 + 6 = 5 In fact, the number of sets of answers is infinite x = 1,000,000 y = -999,995 1,000,000 + (-999,995) = 5 x = 4.9 y = 0.1 x = 6 y = -1 4.9 + 0.1 = 5 x + y = 5 6 + (-1) = 5 x = -6.1 y = 11.1 x = 100 y = -95 -6.1 + 11.1 = 5 100 + (-95) = 5 We can make a chart of several of these sets We can make a chart of several of these sets x + y = 5 We can make a chart of several of these sets x y x + y = 5 We can make a chart of several of these sets x 0 y x + y = 5 We can make a chart of several of these sets x 0 y x + y = 5 Put zero in for x We can make a chart of several of these sets x 0 y x + y = 5 Put zero in for x 0 + y = 5 We can make a chart of several of these sets x 0 y x + y = 5 Put zero in for x and solve for y 0 + y = 5 We can make a chart of several of these sets x 0 y x + y = 5 Put zero in for x and solve for y 0 + y = 5 y = 5 We can make a chart of several of these sets x 0 5 y Put the value for y back in the chart x + y = 5 Put zero in for x and solve for y 0 + y = 5 y = 5 We can make a chart of several of these sets x 0 1 5 y x + y = 5 Then put one in for x We can make a chart of several of these sets x 0 1 5 y x + y = 5 And repeat the process Then put one in for x of solving for y We can make a chart of several of these sets x 0 1 5 y x + y = 5 And repeat the process Then put one in for x of solving for y 1 + y = 5 We can make a chart of several of these sets x 0 1 5 y x + y = 5 And repeat the process Then put one in for x of solving for y -1 1 + y = 5 -1 We can make a chart of several of these sets x 0 1 5 y x + y = 5 And repeat the process Then put one in for x of solving for y -1 1 + y = 5 y = 4 -1 We can make a chart of several of these sets x 0 1 4 5 y x + y = 5 And repeat the process Then put one in for x of solving for y -1 1 + y = 5 y = 4 -1 x y This table has many names x y This table has many names X Y T x y This table has many names T Table X Y T x y This table has many names X Y Chart T Table X Y T x y This table has many names X Y Chart X Y Table T Table X Y T x y This table has many names Graphing Table X Y Chart X Y Table T Table X Y T x y But it is just used to keep track of all the possible sets of answers for a two variable equation 0 x 5 y But it is just used to keep track of all the possible sets of answers for a two variable equation 0 + 5 = 5 x + y = 5 0 1 x 5 4 y But it is just used to keep track of all the possible sets of answers for a two variable equation 0 + 5 = 5 1 + 4 = 5 x + y = 5 0 1 2 x 5 4 3 y But it is just used to keep track of all the possible sets of answers for a two variable equation 0 + 5 = 5 1 + 4 = 5 2 + 3 = 5 x + y = 5 |