Answer:
solution: x=6
Step-by-step explanation:
8(2x-14)+13=4x-27
next, distribute 8 through the parentheses
16x-112+13=4x-27
calculate the sum
16x-99=4x-27
move the variable to the left-hand side and change it's sign
16x-4x-99=-27
move the constant to the right-hand side and change it's sign
16x-4x=-27+99
collect like terms
12x= -27+99
calculate the sum
12x=72
divide both sides of the equation by 12
x=6
final solution: x=6
Answer:
The answer is
![\huge y = 4x - 2](https://tex.z-dn.net/?f=%20%5Chuge%20y%20%3D%204x%20-%202)
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20%20y_1%20%3D%20m%28x%20-%20%20x_1%29)
From the question the point is (-1,-6) and slope 4
The equation of the line is
![y + 6 = 4(x + 1) \\ y + 6 = 4x + 4 \\ y = 4x + 4 - 6](https://tex.z-dn.net/?f=y%20%2B%206%20%3D%204%28x%20%2B%201%29%20%5C%5C%20y%20%2B%206%20%3D%204x%20%2B%204%20%5C%5C%20y%20%3D%204x%20%2B%204%20-%206)
We have the final answer as
![y = 4x - 2](https://tex.z-dn.net/?f=y%20%3D%204x%20-%202)
Hope this helps you
Standard form: Ax + By = C
slope intercept form: y = mx + b
point slope form: y - y1 = m(x - x1)
lets use this equation as an example:
8x + 4y = 16 first subtract 8x
4y = -8x +16 then divide every number by 4
y = -2x + 4 this equation is now in slope intercept form