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Systems of Equations

Problems

Solving Systems of Linear Equations by Addition/Subtraction

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Problem : Solve the following system of equations:

4x - 4y = -4  
3x + 2y = 12  

(x, y) = (2, 3)

Problem : Solve the following system of equations:

2y = 16 + 4x  
3x + 5y = 27  

(x, y) = (- 1, 6)

Problem : Solve the following system of equations:

3x + 4y = 12  
18 - 2x = 6y  

(x, y) = (0, 3)

Problem : Solve the following system of equations:

4y - 6x = 10  
6y = 15 + 9x  

The system is dependent. Any ordered pair (x, y) satisfying 2y = 3x + 5 is a solution.

Problem : Solve the following system of equations:

2x - 9y = 32  
4x + y = -12  

(x, y) = (- 2, - 4)

Problem : Solve the following system of equations:

7x + 8y = 23  
8x + 7y = 22  

(x, y) = (1, 2)

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