Lesson Intro to Systems

When you solve one variable equations When you solve one variable equations 2x - 4 = 6 When you solve one variable equations 2x - 4 = 6 +4 +4 Add 4 to both sides When you solve one variable equations 2x - 4 = 6 2x = 10 +4 +4 Fill in the correct value When you solve one variable equations 2x - 4 = 6 2x = 10 +4 2 +4 2 When you solve one variable equations 2x - 4 = 6 2x = 10 +4 2 x = 5 +4 2 When you solve one variable equations 2x - 4 = 6 2x = 10 +4 2 x = 5 +4 2 You are solving for the number that can go in for x When you solve one variable equations 2x - 4 = 6 2x = 10 +4 2 x = 5 +4 2 You are solving for the number that can go in for x When you solve one variable equations 2x - 4 = 6 2x - 4 = 6 2x = 10 +4 2 x = 5 +4 2 You are solving for the number that can go in for x When you solve one variable equations 2x - 4 = 6 2x - 4 = 6 2x = 10 +4 2 x = 5 x = 5 +4 2 You are solving for the number that can go in for x When you solve one variable equations 2x - 4 = 6 2x - 4 = 6 2x = 10 +4 2 x = 5 x = 5 +4 2 2( 5 ) -4 = 6 You are solving for the number that can go in for x When you solve one variable equations 2x - 4 = 6 2x - 4 = 6 2x = 10 +4 2 x = 5 x = 5 +4 2 2( 5 ) -4 = 6 10 - 4 = 6 For a two variable equations For a two variable equations x + y = 5 There are many sets of possible solutions For a two variable equations x + y = 5 x = 1 There are many sets of possible solutions y = 4 For a two variable equations because 1 + 4 = 5 x + y = 5 x =2 x = 1 Fill in the correct value There are many sets of possible solutions y = 3 y = 4 For a two variable equations because 2 + 3 = 5 because 1 + 4 = 5 x + y = 5 x =2 x = 100 x = 1 There are many sets of possible solutions y = 3 y = 4 y = -95 For a two variable equations because 2 + 3 = 5 because 1 + 4 = 5 because 100 - 95 = 5 x + y = 5 Fill in the correct value x =2 x = 100 x = 1 In fact, the number of solutions are infinite There are many sets of possible solutions y = 3 y = 4 y = -95 For a two variable equations because 2 + 3 = 5 because 1 + 4 = 5 because 100 - 95 = 5 x + y = 5 But if I have two equations But if I have two equations x + y = 5 x - y = -3 But if I have two equations each with two variables x + y = 5 x - y = -3 I can solve for the x and y values that work for BOTH But if I have two equations each with two variables x + y = 5 x - y = -3 I can solve for the x and y values that work for BOTH SolutionsPossible But if I have two equations each with two variables x + y = 5 x - y = -3 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations each with two variables x + y = 5 x - y = -3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsFill in the correct value Possible But if I have two equations each with two variables x + y = 5 x - y = -3 x = 2 y = 3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible Fill in the correct value But if I have two equations each with two variables x + y = 5 x - y = -3 x = 2 y = 3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations each with two variables x + y = 5 x - y = -3 SolutionsPossible x = 2 y = 3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations each with two variables x + y = 5 x - y = -3 x = 0 y = 3 SolutionsPossible x = 2 y = 3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations each with two variables x + y = 5 x - y = -3 x = 0 y = 3 x = 1 y = 4 SolutionsPossible x = 2 y = 3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations each with two variables x + y = 5 x - y = -3 x = 2 y = 5 x = 0 y = 3 x = 1 y = 4 SolutionsPossible x = 2 y = 3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations The set that matches each with two variables x + y = 5 x - y = -3 x = 2 y = 5 x = 0 y = 3 x = 1 y = 4 SolutionsPossible x = 2 y = 3 x = 1 y = 4 I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations The set that matches each with two variables is the answer x + y = 5 x - y = -3 x = 2 y = 5 x = 0 y = 3 x = 1 y = 4 SolutionsPossible x = 2 y = 3 x = 1 y = 4I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations The set that matches each with two variables is the answer x + y = 5 x - y = -3 x = 2 y = 5 x = 0 y = 3 x = 1 y = 4 SolutionsPossible x = 2 y = 3 x = 1 y = 4I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible But if I have two equations The set that matches each with two variables is the answer x + y = 5 x - y = -3 x = 2 y = 5 x = 0 y = 3 x = 1 y = 4SolutionsPossible x = 2 y = 3 x = 1 y = 4I can solve for the x and y values that work for BOTH x = 0 y = 5 SolutionsPossible x = 1 and y = 4 is the answer But if I have two equations The set that matches each with two variables is the answer x + y = 5 x - y = -3 x = 2 y = 5 x = 0 y = 3 x = 1 y = 4SolutionsPossible x = 1 and y = 4 is the answer x + y = 5 x - y = -3 That means that x = 1 and y = 4 is the answer x + y = 5 x - y = -3 That means that x = 1 and y = 4 is the answer if I put 1 in for x x + y = 5 x - y = -3 That means that x = 1 and y = 4 is the answer if I put 1 in for x and 4 in for y x + y = 5 x - y = -3 That means that x = 1 and y = 4 is the answer if I put 1 in for x and 4 in for y both equations will be correct x + y = 5 x - y = -3 That means that x = 1 and y = 4 is the answer if I put 1 in for x and 4 in for y both equations will be correct x + y = 5 x - y = -3 1 + 4 = 5 That means that x = 1 and y = 4 is the answer if I put 1 in for x and 4 in for y both equations will be correct x + y = 5 x - y = -3 1 + 4 = 5 1 - 4 = -3 |

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