SOLUTION: simplify 3 over x-5 +1(the 1 is on the outer right) over 1 is on the outer left -4 over x-5

Question 86922: simplify
3
over
x-5
+1(the 1 is on the outer right)
over
1 is on the outer left
-4
over
x-5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Convert each "1" into

Combine the fractions

Multiply the fractions by flipping the 2nd fraction

Notice these terms cancel

Now combine like terms

So the expression

simplifies to

Check:
One way we could verify this is to graph both expressions as equations like this

Graph the first equation (just set the expression equal to y)
graph of

Now graph the 2nd equation
graph of

Notice how they trace out the same path. If they were plotted on the same graph, one would overlap another perfectly. This means they are equivalent (minus the discontinuous hole) and this verifies our answer.

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