The equation of the lines can be plotted on the graph after calculating the coordinates on each line.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two linear equation:
x = 4y
x + y = 7.0
To plot the linear equation first we will find the few coordinates to plot on the coordinate plane.
For the equation of line:
x = 4y
x 0 1 2 3 -1 -2 -3
y 0 4 8 12 -4 -8 -12
For the equation of line:
x + y = 7.0
x 0 1 2 3 -1 -2 -3
y 7 6 5 4 8 9 10
Thus, the equation of the lines can be plotted on the graph after calculating the coordinates on each line.
Learn more about the linear equation here:
brainly.com/question/11897796
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The cost of one drink is $2.50 and cost of one popcorn is $3.75
<u><em>Explanation</em></u>
Suppose, the cost of one drink is
dollar and cost of one popcorn is
dollar.
Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75
So, the system of equations will be......
![2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)](https://tex.z-dn.net/?f=2x%2B2y%3D12.50%20.....................................%20%281%29%5C%5C%20%5C%5C%206x%2B5y%3D%2033.75%20.....................................%20%282%29)
Multiplying equation (1) by -3 , we will get.....
![-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)](https://tex.z-dn.net/?f=-3%282x%2B2y%29%3D-3%2812.50%29%5C%5C%20%5C%5C%20-6x-6y%3D-37.50%20.....................................%20%283%29)
Now, adding equation (2) and equation (3) , we will get ............
![5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75](https://tex.z-dn.net/?f=5y-6y%3D33.75-37.50%5C%5C%20%5C%5C%20-y%3D-3.75%5C%5C%20%5C%5C%20y%3D3.75)
Plugging this
into equation (1) ......
![2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50](https://tex.z-dn.net/?f=2x%2B2%283.75%29%3D12.50%5C%5C%20%5C%5C%202x%2B7.50%3D12.50%5C%5C%20%5C%5C%202x%3D12.50-7.50%3D5%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B5%7D%7B2%7D%3D2.50)
So, the cost of one drink is $2.50 and cost of one popcorn is $3.75
Its a because it should be 50 50 if u think whats 100/2 so that would be a simple event
Answer:
Width: x + 3
(Length, width):
(5,4) (6,5) (7,6)
Step-by-step explanation:
x² + 7x + 12
x² + 4x + 3x + 12
x(x + 4) + 3(x + 4)
(x + 4)(x + 3)
Longer one is the length,
With is (x + 3)
x = 1,
5 × 4
x = 2,
6 × 5
x = 3,
7 × 6