Question

What is the intersection (x, y) of the two lines generated by the 2 equations:

y= x+3
y=-x +7

Answer 1

x=2

y=5

Explanation:

y= x+3...(1)

y= -x+7...(2)

(1) + (2):

y+y= (x+3) + (-x+7)

2y= (x-x) + (3+7)

2y= 10

y= 5

By substituting y=5 into (1),

we have

5= x+3

x+3=5

x= 5-3

x= 2