Help me please show me step by step how to do this it is due soon

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

Answer:

9x-2=5x+54

9x-5x=54+2

4x=56

4x/4=56/4

x= 14

180-124=56°

10y+6=56

10y=56-6

10y=50

10y/10=50/10

y=5

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A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all

lora16 [44]

Answer:

13 sheep, 19 chicken

Step-by-step explanation:

You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as $x$ and the number of chickens there are as $y$ .

Because each sheep has 4 legs, the number of legs for each sheep would be $4x$ . Similarly, because each chicken has 2 legs, the number of legs for each chicken would be $2y$ . Each animal would have 1 head, so the number of heads would just be $x$ and $y$ . Because the number of legs in total are 90, $4x + 2y=90$ . Because the number of heads in total are 32, $x+y=32.$

There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, $2x+2y=64$ . Then, I would subtract that from the first equation, eliminating $y$ . $2x=26$ . Solving for x gives 13. We can then plug that value into the second equation, making y be $32-13=19$ . This means that $x=13$ and $y=19$ , meaning that there are 13 sheep and 19 chicken.