SOLUTION: 4. Determine the point of intersection. a) y=4x+6 and y=-x+1 b) 2x+5y=10 and x=10

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 4. Determine the point of intersection. a) y=4x+6 and y=-x+1 b) 2x+5y=10 and x=10      Log On


   

Question 15086: 4. Determine the point of intersection.
a) y=4x+6 and y=-x+1
b) 2x+5y=10 and x=10
Answer by bam878s(77) About Me  (Show Source):
You can put this solution on YOUR website!
To determine the intersection point, we need to find the value that both equations have in common, that is, we need to first set the equations equal to each other and then solve for x, then use this value to find y.
(a)
4x+6 = x+1
4x+5 = x
3x = -5
x = -5%2F3
Now use this to find y
y= --5%2F3 + 1
y = -2%2F3
(b)
Part b is easier because we are given the value of x. We just need to find y.
x = 10 and 2x + 5y = 10.
2(10) + 5y = 10
20 + 5y = 10
5y = -10
y = -2.