3 years ago

Does the equation 3(x-2)=3x-2 have one solution, no solution or an infinite number of solutions?

Mathematics

1 answer:

romanna [79]3 years ago

4 0

If you expand the left hand sign, the equation becomes

$3x-6 = 3x-2$

This means that the term $3x$ cancels out, since it appears in both sides. So, we're left with

$-6=-2$

which is clearly false, i.e. it leads to an impossible equation, which thus have no solutions.

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On a farm there are three-legged-cows and chickens. There are total of 127 heads and 353 legs. How many three-legged-cows are on

olga nikolaevna [1]

Answer: There are 99 three-legged-cows and 28 chickens.

Step-by-step explanation:

Let x be the number of three-legged-cows and y be the number of chickens.

Number of legs in chicken = 2

The according to the question, we have the following equations :-

$\text{For heads }x+y=127------(1)\\\\\text{For legs }3x+2y=353------(2)$

Multiplying 2 to the equation (1), we get

$2x+2y=254--------(3)$

Now, subtract equation (3) from (2), we get

$x=353-254=99$

Put x= 99 in (1), we get

$99+y=127\\\\\Rightarrow\ y=127-99=28$

Hence, there are 99 three-legged-cows and 28 chickens.

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