What is the solution? 1/4x-1/2y=8 1/2x+3/4y=-5

 x=8; y=-12

Step-by-step explanation:

1. You can apply the Elimination method:

- Mulitply the first equation by -2:

- Sum both equations and solve for y:

- Substitute the value obtained (y=-12) in one the original equations and then solve for x:

4

step-by-step explanation:

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