by looking at a graph, name the three types of solutions that you can have in a system of equations....
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By looking at a graph, name the three types of solutions that you can have in a system of equations.
Groupwork graded Groupwork worksheet 1-14Work on this while I check the homework
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Let’s get practice using the equations from the homework and using the graphing calculator
Directions:Y = Y = Graph2nd, CALC, 5, ENTER, ENTER, ENTERWrite down the ordered pair
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Warm up
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Chapter 3 Section 2
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1.) Multiply one or both equations to make the coefficients of one of the variables to be the same (one positive, one negative)
2.) Add the 2 equations by combining the like terms. (one of the variables will be eliminated)
3.) Solve for the remaining variable 4.) Substitute the answer you found in
step 3 into one of the original equations to find the other variable
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1.) x +y = 3 2x -3y = 1
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2.) 2x – 4y = 13 4x – 5 y = 8
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3.) 3x – y = 13 2x + 2y = -10
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Practice
Graphing Calculator
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4.) 7x – 12y = -22 -5x + 8y = 14
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5.) 9x – 5y = - 7 -6x +4y = 2
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6.) x – 2y = 3 2x – 4y = 7
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Whiteboards practice!!!!
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1.) Solve one of the equations for one of its variables.
2.) Substitute the expression from Step 1 into the other equation for the appropriate variable (Hint: you should now have only 1 variable)
3.) Solve the equation for the variable remaining
4.) Substitute the answer you found in step 3 into one of the original equations to find the other variable
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1.) 3x + 4y = -4 x + 2y = 2
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2.) 3x – y = 13 2x + 2y = -10
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3.) -x + 3y = 1 4x + 6y = 8
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Pg 152 # 4-6
Pg 152-153 # 11-16, 38-40