Answer:
![x + 3y = 7 , x - 3y = 7 : y = , x = 7](https://tex.z-dn.net/?f=x%20%2B%203y%20%3D%207%20%2C%20x%20-%203y%20%3D%207%20%3A%20y%20%3D%20%2C%20x%20%3D%207)
Step-by-step explanation:
![\left[\begin{array}{ccc}x + 3y = 7\\x - 3y = 7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%20%2B%203y%20%3D%207%5C%5Cx%20-%203y%20%3D%207%5Cend%7Barray%7D%5Cright%5D)
Isolate
for
:
Substitute
:
![\begin{bmatrix}7-3y-3y=7\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D7-3y-3y%3D7%5Cend%7Bbmatrix%7D)
Isolate
for
:
For
![=7-3y](https://tex.z-dn.net/?f=%3D7-3y)
Substitute ![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
![x=7-3 * 0](https://tex.z-dn.net/?f=x%3D7-3%20%2A%200)
![7 - 3 * 0 = 7](https://tex.z-dn.net/?f=7%20-%203%20%2A%200%20%3D%207)
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
The solution to the system of equations are:
![y=0,\:x=7](https://tex.z-dn.net/?f=y%3D0%2C%5C%3Ax%3D7)
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
Answer:
y=65x
Step-by-step explanation:
x represents the # of hours
Answer:
Number of girls = 15
Step-by-step explanation:
girls : boys = 5 : 4
Number of girls = 5x
Number of boys = 4x
Total students = 27
5x +4x = 27
9x = 27
x = 27/9
x = 3
Number of girls = 5x = 5*3 = 15
Answer:
35 feet
Step-by-step explanation:
We'll begin by calculating the resultant for you and your friend.
For you:
R² = 12² + 9²
R² = 144 + 81
R² = 225
Take the square root of both side
R = √225
R = 15 feet
For your friend:
R² = 16² + 12²
R² = 256 + 144
R² = 400
Take the square root of both side
R = √400
R = 20 feet
Finally, we shall determine the distance between you and your friend.
The distance between you and your friend is obtained by adding your resultant and that of your friend together i.e
You resultant = 15 feet
Your friend's resultant = 20 feet
Distance between you and your friend = 15 + 20 = 35 feet.
Therefore, you threw the baseball 35 feet away from your friend.