Answer:
{x,y} = {2,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 7x + 3y = 8
[2] 3x - 4y = 14
Graphic Representation of the Equations :
3y + 7x = 8 -4y + 3x = 14
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y + 14
[2] x = 4y/3 + 14/3
// Plug this in for variable x in equation [1]
[1] 7•(4y/3+14/3) + 3y = 8
[1] 37y/3 = -74/3
[1] 37y = -74
// Solve equation [1] for the variable y
[1] 37y = - 74
[1] y = - 2
// By now we know this much :
x = 4y/3+14/3
y = -2
// Use the y value to solve for x
x = (4/3)(-2)+14/3 = 2
Solution :
{x,y} = {2,-2}
Answer:
<h3>
x = -4</h3>
Step-by-step explanation:
vertical line is parallel to y-axis so its equation is always x = x₀
at any given point we have coordinates: (x₀, y₀)
given point (-4, 7) means x₀ = -4
so the equation of a vertical line passing through the point (-4, 7) is x=-4
Answer:
Step-by-step explanation:
To find the inverse of this function, you need to replace the location of the x and the y.
You start with 
. Now, replace the x and the y, and try to isolate the y.
Hope this helps!
Answer:
The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14
Step-by-step explanation:
To find this, we must first find the slope of the original line. We can do this by solving for y.
5x + 3y = 8
3y = -5x + 8
y = -5/3x + 8/3
Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.
y - y1 = m(x - x1)
y + 9 = -5/3(x + 3)
y + 9 = -5/3x - 5
y = -5/3x - 14
Then to get the function notation, we need to replace the y with f(x).
f(x) = -5/3x - 14
