Solving Systems of Equations by Elimination Name: Pd Algebra 3/03/09.
Systems of Linear Equations and Inequalities 2.3Solving Systems of Equations Using the Elimination...
Transcript of Systems of Linear Equations and Inequalities 2.3Solving Systems of Equations Using the Elimination...
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Systems of Linear Equations and Inequalities
2.3 Solving Systems of Equations Using the Elimination Method
• Solve a system of equations using the elimination method.
• Solve applications using systems of equations and the elimination method.
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Elimination Method for Solving Systems of Equations
• Used best when both equations are in general form or when no variable is already isolated or easily isolated.
• Multiply one or more of the equations by a number to make the coefficients of one variable opposite in sign but of the same value.
• Add the two equations to eliminated the variable, then solve.
• Remember to find the values for both variables.• Check the solution in both equation.
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Solve the system using the Elimination Method
7x + 3y = 64x – 6y = 42
(3, -5)
4x + 9y = 212x + 6y = 48
(5, -2)
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Solving a Mixture application using the elimination methodJim Johnson is a local veterinarian who has prescribed a diet of 24% protein for a client’s Great Dane. Jim has the two types of dog food shown below, but neither is 24% protein. The client wants 225 pounds of food to feed the great Dane until the next vet appointment. How much of each type of food should Jim sell his client.
A = The amount of 21% protein dog food used.B = The amount of 30% protein dog food used.
A + B = 2250.21A + 0.30B = (0.24)225A = 150lbs b = 75lbs
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Solve the system using the Elimination Method
x + 8y = -35-3x + 5y = -11
(-3, -4)
24d + 36g = 18014d + 20g = 96
(-6, 9)
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Solve the following systems.5x – 7y = -4-3x + 9y = 6
( ¼, ¾)This is a consistent system with dependent lines. Any solution to the equation 2m-6n = -4 is also a solution to the system.
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Solve the following systems.15x + 14y = 16-3x + 21 y = 7( 2/3 , 3/7)
10x – 6y = 8Inconsistent no solution