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High School Mathematics - 2
6.5 Solving Linear Equations Using Cramer's Method

Cramer's Rule: You can use determinants to solve a system of linear equations. The method is called Cramer's rule and is named after the Swiss mathematician Gabriel Cramer. It uses the coefficient matrix of the linear system.



Directions: Solve the following system using Cramer's rule. Also write at least five examples of your own.
Q 1: Solve 3x + 2y = 22 and 2x + 5y = 33 using Cramer's method.
x = 5 and y = 6
x = 4 and y = 5
x = 4 and y = 3
x = 4 and y = 7

Q 2: Solve 2x+ 5y = 26 and 3x + 7y = 37 using Cramer's method.
x = 3 and y = 4
x = 3 and y = 2
x = 5 and y = 4
x = 2 and y = 4

Q 3: Solve 3x + 2y = 11 and 2x + 6y = 12 using Cramer's method.
x = 2 and y = 3
x = 3 and y = 2
x = 2 and y = 4
x = 3 and y = 1

Q 4: Solve 4x + 5y = 50 and 3x+ 2y = 27 using Cramer's method.
x = 5 and y = 4
x = 4 and y = 6
x = 5 and y = 7
x = 5 and y = 6

Q 5: Solve 2x + 4y = 10 and 3x + 2y =7 using Cramer's method.
x = 1 and y = 3
x = 2 and y = 4
x = 2 and y = 3
x = 1 and y = 2

Q 6: Solve 2x + 3y = 13 and 3x + y = 9 using Cramer's method.
x = 2 and y = 3
x = 2 and y = 5
x = 4 and y = 2
x = 2 and y = 4

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Question 8: This question is available to subscribers only!


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