Exam 15: Systems of Equations

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It is never possible to solve a system of three equations in three unknowns.

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If the lines determined by two linear equations meet, then the crossing point corresponds to the solution of the system of two linear equations in two unknowns.

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Solve the equation Solve the equation   for y.Round your answers to two decimal places, if necessary. ​ for y.Round your answers to two decimal places, if necessary. ​

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Solve the following system of equations by graphing.Round your answers to two decimal places. Solve the following system of equations by graphing.Round your answers to two decimal places.

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Solve the following system of equations.Round your answers to two decimal places. Solve the following system of equations.Round your answers to two decimal places.

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Solve the following system of equations by graphing. Solve the following system of equations by graphing.   ​ Round your answers to two decimal places. ​ Round your answers to two decimal places.

(Essay)
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Solve the equation Solve the equation   for ​y.Round your answers to two decimal places, if necessary. ​ for ​y.Round your answers to two decimal places, if necessary. ​

(Multiple Choice)
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Solve the equation Solve the equation   for ​y.Round your answers to two decimal places, if necessary. ​ for ​y.Round your answers to two decimal places, if necessary. ​

(Multiple Choice)
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A business pays 9.00% tax on income from New York and 6% tax on income from New Jersey.The total tax paid is $958.95, and the total income is $12292.Round your answers to the nearest cent. ​ How much income came from each state? ​

(Multiple Choice)
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Solve the following system of equations.Round your answers to two decimal places. Solve the following system of equations.Round your answers to two decimal places.

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Solve the following system of equations.Round your answers to two decimal places. Solve the following system of equations.Round your answers to two decimal places.

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Solve the following system of equations.Round your answers to two decimal places. Solve the following system of equations.Round your answers to two decimal places.

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Type A grain containing 31.00% fiber is mixed with type B grain containing 6% fiber to make 556 pounds of feed.The resulting mixture is to contain 90.86 pounds of fiber.Round your answers to two decimal places. ​ How much of each type of grain goes in the mixture? ​

(Multiple Choice)
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We have $32.58 to spend on citrus.Lemons cost $0.73 each, and limes cost $0.69 each.We need a total of 46 pieces of citrus.Round your answers to two decimal places. ​ How many of each are bought? ​

(Multiple Choice)
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Solve the system of equations Solve the system of equations   ​ Round your answers to two decimal places. ​ ​ Round your answers to two decimal places. ​

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We have $16.12 to spend on vegetable plants for our garden.Tomato plants cost $0.88 each, and pepper plants cost $0.36 each.There is space in the garden for 26 plants.Round your answers to two decimal places. ​ How many of each are bought? ​

(Multiple Choice)
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Solve the following system of equations.Round your answers to two decimal places. Solve the following system of equations.Round your answers to two decimal places.

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Solve the following system of equations.Round your answers to two decimal places. Solve the following system of equations.Round your answers to two decimal places.

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There is no solution of a system of two linear equations in two unknowns if the graphs of the equations are parallel lines.

(True/False)
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Solve the equation Solve the equation   for ​y.Round your answers to two decimal places. ​ for ​y.Round your answers to two decimal places. ​

(Multiple Choice)
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