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forsale [732]
2 years ago
6

Write and solve a system of equations. Be sure to label the variables. The sum of two numbers is fourteen. Two times the first n

umber plus three times the second number is nine. What are the two numbers? Show and Explain all work.
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
5 0

Answer:

First number = 33, Second number = -19

Step-by-step explanation:

We can use F to represent the first number and S to represent the second number.

Our two equations then are F + S = 14 and 2F + 3S = 9

We can use substitution:

F+S = 14\\2F+3S=9\\F=14-S\\2(14-S)+3S=9\\28-2S+3S=9\\28+S=9\\S=-19\\\\F-19=14\\F=33

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