First find the x and y values because where the lines will intersect, they share the point of the intersection so they will share the x and y coordinates.
Rearrange equations
![4x + y = 19](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%2019)
![- 2x + y = 1](https://tex.z-dn.net/?f=%20-%202x%20%2B%20y%20%3D%201)
To cancel y, we must do equation 1 minus equation 2. Similarly:
![4x - - 2x = 4x + 2x = 6x](https://tex.z-dn.net/?f=4x%20-%20%20-%202x%20%3D%204x%20%2B%202x%20%3D%206x)
![19 - 1 = 18](https://tex.z-dn.net/?f=19%20-%201%20%3D%2018)
![6x = 18](https://tex.z-dn.net/?f=6x%20%3D%2018)
![x = 18 \div 6 = 3](https://tex.z-dn.net/?f=x%20%3D%2018%20%5Cdiv%206%20%3D%203)
So the x coordinate is 3.
The y coordinate can be found with substitution of x into one of the equations:
![y = 2x + 1 = 2(3) + 1 = 7](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%201%20%3D%202%283%29%20%2B%201%20%3D%207)
So where the two lines intersect is at the point (3, 7), which is the solution to the equations.
<span>Different beverages may be absorbed at slightly different rates because of the drink’s size.</span>
Answer:
The state C spends $1.7 million more than the state D
So C = D + 1.7
C + D = 54.3
Instead of C we can write D + 1.7
So D + 1.7 + D = 54.3
So 2D + 1.7 = 54.3
So 2D = 52.6
D = 26.3 and C = 28
First you convert 2/3 to a decimal. that is 0.66. then you just put that behind 66%, which is also 0.66, so it is 0.666 with a bar on top
Answer:
8
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin 30 = 4/x
Multiply each side by x
x sin 30 = 4
Divide each side by sin 30
x sin 30 /sin 30 = 4 sin 30
x = 4 /sin 30
We know that sin 30 = 1/2
x = 4 / 1/2
x = 8