Answer:
x = 3/7
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given line ;

1. Perpendicular and passes through (4,-6)

Substitute the values above into slope intercept form ; y=mx+b and solve for b.

Substitute new values into ; y =mx+b.

2.Parallel and passes through (4,-6)

Substitute values into point slope form and simplify

Answer:
x = 1, y = 2
Step-by-step explanation:
In the elimination method to solve a system of linear equations, one of the two equations is added/subtracted to the other, in order to eliminate one variable from the equation.
In this problem, we have the following two equations:

To solve the system, first we multiply by 2 both sides of the second equation, and we get:

So now the system is

Now we add the two equations, and we get:

So, we get

Now we can substitute this value of y into the eq.(2), and we get:

Answer:
x = (c+a)/2
y = (c-a)/2
Step-by-step explanation:
Add the two equations and you get ...
(x +y) +(x -y) = (c) +(a)
2x = c+a
x = (c+a)/2
--
Subtract the second equation from the first and you get ...
(x +y) -(x -y) = (c) -(a)
2y = c-a
y = (c-a)/2
_____
Comment on this problem
This is what I call a "sum and difference" problem. The solution shown here is (obviously) the generic solution to such a problem. Remembering this can get you quickly to the answer any time you're given the sum of two unknowns and their difference.
X^2 + 6x + 9
x 3
x 3
(x+3) (x+3)
x^2 + 3x + 3x + 9 (FOIL method)
x^2 + 6x + 9 (true)
your answer is 9 as the constant
hope this helps