Share
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Samir is thinking o
Question
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Samir is thinking of two numbers. Adding 5 times the first number and 4 times the second number gives a total of 21. Also, adding 5 times the first number and 9 times the second number gives 16. What are the two numbers?
in progress
0
Mathematics
3 years
2021-08-17T06:20:04+00:00
2021-08-17T06:20:04+00:00 1 Answers
4 views
0
Answers ( )
Answer:
the first number is 3.4 and the second number is 1
Step-by-step explanation:
The computation of the two numbers is shown below:
Let us assume the first number be x
And, the second number be y
Now the equations are
5x + 4y = 21
And,
5x + 9y = 16
Now subtract equation 2 from equation 1
-5y = -5
y = 1
And, the x is
5x + 4 = 21
5x = 17
x = 3.4
Hence, the first number is 3.4 and the second number is 1