Exam 9: Systems of Linear Equations

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In testing a hybrid engine, various mixtures of gasoline and methanol are being tried. How much of a 90%-gasoline mixture and how much of an 80%-gasoline mixture would be needed to make 260 gal of an 85%-gasoline mixture? Amount of 90%-gasoline mixture: __________ gal Amount of 80%-gasoline mixture: __________ gal

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Solve the pair of linear equations by addition. 2x-3y=13 3x+5y=10 If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

(Multiple Choice)
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Solve the pair of linear equations by addition. 2x-y=2 3x+y=3 If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

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How much of a 6% solution and a 11% solution would you use to make 250 mL of a 8%-electrolyte solution?

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Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. x-y=1 x+3y=17

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Solve, using the substitution method, and check. 4x+3y=-8 x+y=0

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Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. 5x-y=36 x-3y=-4

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Solve the pair of linear equations by addition. 7x-2y=23 9x+y=31 If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

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Solve the pair of linear equations by addition. 14x+16y=100 4x-14y=140

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Solve the pair of linear equations by addition. 4x+9y=12 9x-4y=27

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Solve, using the substitution method, and check. 3x+4y=63 x=y

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Solve, using the substitution method, and check. 3x+4y=43 x-5y=-30

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Solve the pair of linear equations by addition. 4x-3y=8 8x-6y=16 If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

(Multiple Choice)
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Solve graphically. An electric circuit containing two currents may be expressed by the equation 3+4=41 5-2=25 where i 1 and i 2 are the currents in microamperes ( μA\mu A ). Find the two currents.

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Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. x+y=15 2x+y=23

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Solve the pair of linear equations by addition. 3x+2y=14 x+8y=-32 If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

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Solve the pair of linear equations by addition.   6x-5y=7 12x-10y=14

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Solve the pair of linear equations by addition. 5x+9y=9 15x+27y=4

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Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. 6x+2y=36 3x-4y=18

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Two welders work a total of 27 h on a project. One welder made $15/h while the other made $23/h. If the gross earnings of the two welders was $485 for the job, how many hours did each welder work?

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