Answer:
3 and 18
Step-by-step explanation:
let x be the first number
let 6x be the second number
x + 6x = 21
7x=21
x=21/7
x=3
second number =6x
second number 6x3= 21
Answer:41/180
Step-by-step explanation:
70 Miles = 112.65408 Kilometers
Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
y=9/6 (3/2 simplified)
Step-by-step explanation:
2(6y-2)-3y=2
12y-4-3y=2
ad 4 both side
12y-3y=6
9y=6
9/6
