Question 173010: Ariyone claims that 3,6 is the point of intersection of the lines y= 4x-2 and y=1/2x+5. is he correct. How do you know?
Found 3 solutions by scott8148, nerdybill, Alan3354:
Answer by scott8148(6628)   (Show Source):
Answer by nerdybill(7384)  (Show Source):
You can put this solution on YOUR website! Ariyone claims that 3,6 is the point of intersection of the lines y= 4x-2 and y=1/2x+5. is he correct. How do you know?
.
The claim is, given two lines:
y= 4x-2
y=1/2x+5
.
It intersects at (x,y)=(3,6)
.
plugging the point into:
y= 4x-2
6= 4(3)-2
6= 12-2
6= 10 (false)
.
plugging the point into:
y=1/2x+5
6=1/2(3)+5
6=3/2+5
6=3/2+10/2
6=13/2 (false)
.
So, NO, he is incorrect.
The intersection can be found by setting both equations equal to each other:
4x-2 =1/2x+5
8x-4 = x+10
7x-4 = 10
7x = 14
x = 2
.
plug it back into either equation to find y:
y = 4x-2
y = 4(2)-2
y = 8-2
y = 6
.
Intersecting point is at (2,6)
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Ariyone claims that 3,6 is the point of intersection of the lines y= 4x-2 and y=1/2x+5. is he correct. How do you know?
0 solutions
---------------
Sub 3 for x and 6 for y into the equations.
y = 4x-2
6 =? 4*3 - 2
6<>10, so it's not on the line.
There's no need to check the other one, since he's been proven wrong.
|
|
|
