one bag contains x pencils
5 bags contain 5x pencils
after adding 3 pencils to each bag
total no of pencils = 5(x+3)
According to question,
5(x+3)=45
x+3=45/5
x+3=9
x=6
one bag contained 6 pencils before adding
Answer:
(a)x= y+14
(b)x=34, y=20
Step-by-step explanation:
Let the number of tickets sold by your friend = y
Let the number of tickets sold by you=x
You sell 14 more tickets than your friend sells.
Number of tickets sold by you, x= y+14
(a) The system of linear equations that represents this situation is: x= y+14
(b)Together, you and your friend sell a total of 58 tickets.
x+y=54
Since x= y+14
(y+14)+y=54
2y+14=54
Subtract 14 from both sides
2y+14-14=54-14
2y=40
Divide both sides by 2
y=20
Recall, x= y+14
x=20+14=34
You sell 34 tickets and your friend sells 20 tickets.
Answer:
x = 0
y = 3
Step-by-step explanation:
6x + 2y = 6 | ×7 |
7x + 3y = 9 | ×6 |
42x + 14y = 42
42x + 18y = 54
____________--
-4y = -12
y = -12/-4
y = 3
6x + 2y = 6
6x + 2(3) = 6
6x + 6 = 6
6x = 6 - 6
6x = 0
x = 0/6
x = 0
Answer:
x is more than or equal to 9
Step-by-step explanation:
The dot is closed.
We know the perimeter is the sum of all sides. So lenght+length+width+width = 2length+2width.
Let's call the width x. If the length is 4m longer, then it's x+4.
We know the perimeter, so we can make an equation:
56=2x+2(x+4)
And solve from there:
56=2x+2x+8
56=4x+8
48=4x
48/4=x
x=12
The width, which is x, is 12 m. And the length, x+4, is 16 m.
You can check this is correct by calculating the perimeter using those values: 12+12+16+16=56.