Question

Find the point where two lines intersct

Answer 1

y=2x+3
y=-x
To find the point, first set them equal to each other:
2x+3=-x
Then, solve for x:
3x=-3
x = -1
y = -x --> y = -(-1) = 1
So the point is (-1,1)

Answer 2

y=2x+3
y=-x
the interssection is the set of points that make both systems true

set them eual to each other since they both equal y
2x+3=y=-x
2x+3=-x
add x to both sides
3x+3=0
subtract 3
3x=-3
divid 3
x=-1

subsitue
y=-x
y=-(-1)
y=1


(x,y)
the intersection is (-1,1)