Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 2

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6-5 Applying Systems of Linear Equations
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.
 
 
The solution is
.
12.  FINANCIAL LITERACY  For a Future Teachers of America fundraiser, Denzell sold food as shown in the table.
He sold 11 more subs than pizzas and earned a total of $233. Write and solve a system of equations to represent this
situation. Then describe what the solution means.
SOLUTION:  
Let s represent the number of subs sold and p represent the number of pizzas sold.
3s + 5p = 233; s = p + 11
Solve through substitution.
 
 
Now, substitute 25 for p in either equation to find the value of s.
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