Answer:
8/35 is correct
Step-by-step explanation:
Just multiply the numerator by numerator and denominator by denominator, then simplify
Answer:
158 correct
Step-by-step explanation:
Answer:
If 
we get 
which is true. so we have a first set of solutions given by
;
Else, if 
we can divide both sides by it and we get
Which gives us a second set of solutions given by 
;
We can group all solutions (doesn't matter, but it's more elegant!) by writing
Answers:
16 chickens
35 pigs
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Explanation:
x = number of chickens
y = number of pigs
There are 51 heads, so x+y = 51 which solves to y = 51-x
2x = number of legs just from the chickens (2 legs per chicken)
4y = number of legs just from the pigs (4 legs per pig)
2x+4y = 172 legs total
----------
Plug in y = 51-x and solve for x.
2x+4y = 172
2x+4(51-x) = 172
2x+204-4x = 172
-2x+204 = 172
-2x = 172-204
-2x = -32
x = -32/(-2)
x = 16
Now use this to find y
y = 51-x
y = 51-16
y = 35
Since x = 16 and y = 35, this means there are <u>16 chickens</u> and <u>35 pigs</u>.
----------
Check:
x+y = 16+35 = 51 which works
2x+4y = 2*16+4*35 = 172 and that also works.
Both equations are confirmed.
