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

Question

1 year ago

6

umber plus three times the second number is nine. What are the two numbers? Show and Explain all work.

1 answer:

goldfiish [28.3K] · Answer 1 · 2023-12-03T20:04:00+03:00

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:

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