SOLUTION: Y1=x-3/5, Y2=x-5/4 and Y1-Y2=1 Find all values of x satisfying the given conditions.

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Question 662973: Y1=x-3/5, Y2=x-5/4 and Y1-Y2=1
Find all values of x satisfying the given conditions.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y%5B1%5D=x-3%2F5, .........1
y%5B2%5D=x-5%2F4 ...........2
y%5B1%5D-y%5B2%5D=1 .........3
______________________________
y%5B1%5D-y%5B2%5D=%28x-3%2F5%29-%28x-5%2F4%29.....since y%5B1%5D-y%5B2%5D=1, we will have
1=%28x-3%2F5%29-%28x-5%2F4%29..
1=x-3%2F5-x%2B5%2F4
1=x-3%2F5-x%2B5%2F4
1=-3%2F5%2B5%2F4
1=%28-3%2A4%2B5%2A5%29%2F%285%2A4%29
1=%28-12%2B25%29%2F20
1=13%2F20 .....NO SOLUTION
These are parallel lines.
Both have a slope of 1.
One has a y-intercept of -3%2F5, the other has a y-intercept of -5%2F4.
so, there is NO x value such that y%5B1%5D+-+y%5B2%5D+=+1

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x-3%2F5%2C+x-5%2F4%29+