HELP PLEASE!
Solve the system of equations

x = - 2

y = 0

Step-by-step explanation:

The given system of linear equations is expressed as

x + 4y = - 2 - - - - - - - - - - - - - 1

- 5x + 5y = 10- - - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 5 and equation 2 by 1. It becomes

5x + 20y = - 10

- 5x + 5y = 10

Adding both equations, it becomes

25y = 0

Dividing both sides by 25, it becomes

y = 0/25 = 0

Substituting y = 0 into equation 1, it becomes

x + 4 × 0 = - 2

x = - 2

The system of equations have only one solution.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c