find the oint of intersection

Question

y=2x+4

y=-1/2x-3.

Answer 1

Substitution method

y = 2x +4 ---> (1)

y = -1/2x -3 ---> (2)

From (1) substitute the y  value in (2).

2x +4 = -1/2x -3

2x +1/2x  = -3-4

5/2x  = -7

x  = -14/5

Substitute the x  value in (1).

y  = 2(-14/5)+4

y  = -28/5+4

y  = -8/5

Solution x  = -14/5 and y  = -8/5

Point of intersection is (-14/5 , -8/5).