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Near pi Equation Solution Settlement (Posted on 2023-08-23) Difficulty: 2 of 5
Solve for x in terms of t:
x-1       x-1-6t     22
------ + -------- = ---- 
x-1-t     x-1-7t      7
Whenever t≠0

No Solution Yet Submitted by K Sengupta    
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Solution Solution | Comment 1 of 3
I used Desmos as I sometimes do to make sure I don't make algebra errors.  https://www.desmos.com/calculator/zkiqrfdkx0

I replaced (x-1) with just x.  In equations 1 through 6 this just shifts everything one unit to the left.  It makes things much more convenient, since the graph, which is two lines, now has them crossing at the origin. Then in the last two equations, I separated the lines and added 1 to move them back.

Solution:
x=7t/4+1
or
x=8t+1

  Posted by Jer on 2023-08-23 11:06:01
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