What is the point of intersection of the lines y=2x+4 and x+y=11?

1 Answer
Jun 8, 2016

The straight lines intersect at (5,6)

Explanation:

At the point of intersection, of two lines have the same x and y coordinates that satisfy the two equations:

y=2x+4andy=x11

To find the x coordinate

y=y

2x+4=x11

2x+x=411

3x=15

x=5

Use any of the two equations to find a value for y

y=2x+4

y=2(5)+4

y=6

So the two lines intersect at (5,6)