SOLUTION: Which value of b will make the system y=2x+2 and y=2.5x+b intersect at the point (2,6)?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Which value of b will make the system y=2x+2 and y=2.5x+b intersect at the point (2,6)?      Log On


   

Question 800656: Which value of b will make the system y=2x+2 and y=2.5x+b intersect at the point (2,6)?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute the x and y values into both equations. That point (2,6) must satisfy BOTH equations if the two equation lines intersect at this point.

6=2%2A2%2B2
6=4%2B2
6=6, already true.

6=2.5%2A2%2Bb
6=5%2Bb
highlight%28b=1%29.
That is the value you want.

This second equation then must be y=2.5x%2B1