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Systems of Equations

Problems

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Addition/Subtraction

Problem : Solve the following system of equations:

y + 4x = 8  
5x + 2y = 13  

(x, y) = (1, 4)

Problem : Solve the following system of equations:

2x + 2y = 6  
12 = 2y - x  

(x, y) = (- 2, 5)

Problem : Solve the following system of equations:

4y + 2x = 5  
x = 8 - 2y  

No solutions. The system is inconsistent.

Problem : Solve the following system of equations:

2x + 2y = 4  
5y - 3x = 6  

(x, y) = (,)

Problem : Solve the following system of equations:

10x + 7y = 49  
10y - x = 70  

(x, y) = (0, 7)

Problem : Solve the following system of equations:

2x + 9y = 0  
3x + 5y = 17  

(x, y) = (9, - 2)

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