SOLUTION: An equation ax + bx = 8 passing through lines (3,-2) and (2,4). Find the values of a and b! Please answer this

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Question 1161340: An equation ax + bx = 8 passing through lines (3,-2) and (2,4). Find the values of a and b!

Please answer this

Found 3 solutions by solver91311, MathLover1, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




is a vertical line that cannot possibly pass through (3,-2) and (2,4) simultaneously. The x-coordinate of all ordered pairs on any vertical line are equal.

Now if you actually meant:



that is another story altogether. But you didn't say that and I'm not going to guess. Repost and this time take a couple of seconds to proofread your post so that you can communicate clearly. Tutors work for free and really don't have time for lazy students.


John

My calculator said it, I believe it, that settles it


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

An equation ax+%2B+bx+=+8 -> you have bx and it should be by
passing through lines (3,-2) and (2,4).
Find the values of a and b!
ax+%2B+by+=+8....use point (3,-2)

3a+-2b+=+8.....solve for a
3a+=+2b%2B8
a+=+2b%2F3%2B8%2F3.....eq.1

ax+%2B+by+=+8....use point (2,4)
2a+%2B+4b+=+8
2a+=+8-4b
a+=+4-2b......eq.2

from eq.1 and eq.2 we have

+2b%2F3%2B8%2F3=4-2b.....solve for b

+2b%2F3%2B2b=4-8%2F3....both sides multiply by 3

+2b%2B6b=12-8
+8b=4
+b=4%2F8
+b=1%2F2

go to
a+=+4-2b......eq.2, substitute b
a+=+4-2%281%2F2%29
a+=+4-1
a+=+3
and, your equation is:
3x+%2B+%281%2F2%29y+=+8





Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
lines (3,-2) and (2,4).
================
Those are points, not lines.