Find the point of intersection of the pair of straight lines. y= −4x−5 −y= 5x+ 5

Answer 1

y=-4x-5 and -y=5x+5

Manipulate the second equation so it is y= and not -y= bu dividing both sides by -1

-y/-1=5x/-1+5/-1

y=-5x-5

Now by substitution, you can set the equations equal to each other an solve.

-4x-5=-5x-5 add 5x to both sides

-4x-5+5x=-5x-5+5x Simplify

x-5=-5 Add 5 to both sides

x-5+5=-5+5 Simplify

x=0

Now plug this into either equation to solve for y

y=-4(0)-5

y=-5

The intersection point is (0,-5)