Answer: (3,-2)
Step-by-step explanation:
![-3x-7y=5\\15x+6y=33](https://tex.z-dn.net/?f=-3x-7y%3D5%5C%5C15x%2B6y%3D33)
![5(-3x-7y)=5(5)\\-15x-35y=25](https://tex.z-dn.net/?f=5%28-3x-7y%29%3D5%285%29%5C%5C-15x-35y%3D25)
new system:
![-15x-35y=25\\15x+6y=33](https://tex.z-dn.net/?f=-15x-35y%3D25%5C%5C15x%2B6y%3D33)
add.
![-29y=58\\y=-2](https://tex.z-dn.net/?f=-29y%3D58%5C%5Cy%3D-2)
plug in -2 for y
![-3x-7(-2)=5\\-3x+14=5\\-3x=-9\\x=3](https://tex.z-dn.net/?f=-3x-7%28-2%29%3D5%5C%5C-3x%2B14%3D5%5C%5C-3x%3D-9%5C%5Cx%3D3)
system:
![(3,-2)](https://tex.z-dn.net/?f=%283%2C-2%29)
Answer: A (-2, 1)
see image explanation attached
Answer:
y = 5x - 7
Step-by-step explanation:
Using the equation of a line with two points
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
Giving two points
( -4 , 10)(16 , -2)
x_1 = -4
y_1 = 10
x_2 = 16
y_2 = -2
Using the above formula
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
-12 - 3 / -1 - 2 = y - 3 / x - 2
-15/-3 = y - 3 /x - 2
Cross multiply
-15(x - 2) = -3(y - 3)
-15x + 30 = -3y + 9
-15x + 30 + 3y - 9 = 0
-15x +30 - 9 + 3y = 0
-15x + 21 + 3y = 0
3y = 15x - 21 ( following y = mx + C
Dividing through by 3 to find y
3y/3 = 15x -21 / 3
y = 15x - 21 / 3
We can still separate
y = 15x / 3 - 21/3
y = 5x - 7
Therefore, the equation of the line is
y = 5x - 7
If I know what you're asking, the answer is theoretical probability.