Mathematical Practices

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Monitoring Progress
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Monitoring Progress 1 You can solve system of equations by using a graphing calculator. First we have to enter the equations in the calculator. To do that, we press the button Y= and then write the equations on the two first rows.Having entered the equations, you can plot them by pressing GRAPH.Next, to find the point of intersection, we press CALC (2nd + TRACE) and choose the fifth option in the menu, intersect.You will see the graph again. Now you have to select the first and second curve before guessing where the point of intersection is. Make sure you place the cursor as close as possible to the point of intersection.The solution to the system of equations is {x=0y=-3.​
Monitoring Progress 2 You can solve system of equations by using a graphing calculator. First we have to enter the equations in the calculator. To do that, we press the button Y= and then write the equations on the two first rows.Having entered the equations, you can plot them by pressing GRAPH.Next, to find the point of intersection, we press CALC (2nd + TRACE) and choose the fifth option in the menu, intersect.You will see the graph again. Now you have to select the first and second curve before guessing where the point of intersection is. Make sure you place the cursor as close as possible to the point of intersection.The solution to the system of equations is {x=1.5y=-0.5.​
Monitoring Progress 3 You can solve system of equations by using a graphing calculator. Before we can do that, we have to write both equations in slope-intercept form. {3x−2y=22x−y=2​(I)(II)​ (I), (II):  Write in slope-intercept form (I):  LHS−3x=RHS−3x{-2y=-3x+22x−y=2​(I):  LHS/(-2)=RHS/(-2){y=23​x−12x−y=2​(II):  LHS−2x=RHS−2x{y=23​x−1-y=-2x+2​(II):  LHS⋅(-1)=RHS⋅(-1) {y=23​x−1y=2x−2​ Now we can enter the equations in the calculator. To do that, we press the button Y= and then write the equations on the two first rows.Having entered the equations, you can plot them by pressing GRAPH.Next, to find the point of intersection, we press CALC (2nd + TRACE) and choose the fifth option in the menu, intersect.You will see the graph again. Now you have to select the first and second curve before guessing where the point of intersection is. Make sure you place the cursor as close as possible to the point of intersection.The solution to the system of equations is {x=2y=2.​