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Notes Over 4.5 Solving a Linear System Use an Inverse Matrix to solve the linear system.

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Solving a Linear System Use an Inverse Matrix to solve the linear system.

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Notes Over 4.5 Solving a Linear System Use an Inverse Matrix to solve the linear system.

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Notes Over 4.5 Writing and Using a Linear System 4. You can purchase peanuts for $3 per pound, almonds for $4 per pound and cashews for $8 per pound. You want to create 140 pounds of a mixture that costs $6 per pound. If twice as many peanuts are used than almonds, how many pounds of each type should be used? Let p = peanuts, a = almonds, and c = cashews peanuts almonds cashews

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Notes Over 4.5 Writing and Using a Linear System 5. A chemist wants to use three different solutions to create a 600-liter mixture containing 25% acid. The first solution contains 30% acid, the second 20%, and the third 15%. If the mixture is to contain 100 more liters of the 15% solution than the 20%, how many liters of each solution should be used? Let a = 30%, b = 20%, and c = 15% 30% 20% 15%

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Notes Over 4.5

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EXAMPLE 2 Solve a matrix equation SOLUTION Begin by finding the inverse of A. 4 7 1 2 = Solve the matrix equation AX = B for the 2 × 2 matrix X. 2 –7 –1.

EXAMPLE 2 Solve a matrix equation SOLUTION Begin by finding the inverse of A. 4 7 1 2 = Solve the matrix equation AX = B for the 2 × 2 matrix X. 2 –7 –1.

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