Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5

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6-5 Applying Systems of Linear Equations
Determine the best method to solve each system of equations. Then solve the system.
6. −3x + y = −3
4x + 2y = 14
SOLUTION:  
The coefficient of y in one of the equations is 1, so solve the system by substitution.
First, solve equation 1 for y. 
 
Substitute into equation 2. 
 
 
Now, substitute 2 for x in either equation to find the value of y.
 
 
The solution is (2, 3).
9. 5x + 8y = 1
−2x + 8y = −6
SOLUTION:  
The coefficients for y are the same. Solve the system by elimination using subtraction.
 
 
Now, substitute 1 for x in either equation to find the value of y.
 
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