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neonofarm [45]
2 years ago
12

Thanks for your answer​

Mathematics
2 answers:
grandymaker [24]2 years ago
8 0

Answer:

x = 3

y = 9

Step-by-step explanation:

\frac{x}{y} =\frac{1}{3}    →  ( 1 )

  • Use cross multiplication to the above equation.

3x = y   →  ( 2 )

x + y = 12 → ( 3 )

  • Now you can put 3x instead of y to equation (3) according to equation (2).

<u>Let us solve.</u>

x + y = 12

x + 3x = 12

  • And now you can solve the above equation and find the value of x.

4x = 12

Divide both sides by 4.

x = 3

  • Now we can put 3 instead of x to any equation here and find the value of y.

<u>Let us take equation ( 2 )</u>

3x = y

3 × 3 = y

9 = y

Hope this helps you :-)

Let me know if you have any other questions :-)

inna [77]2 years ago
4 0

I hope this helps you feel free to contact me

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5 0
3 years ago
last month , he sold 50 chickens and 30 ducks for $550 . This month , he sold 44 chickens and 36 ducks for $532. How much does a
Kazeer [188]
Hello there, my fellow human being!
So, the chicken costs $8 and the duck costs $5, here's why.

Let's say x is the cost of a chicken while y is the cost of a duck.
We can make two linear equations using the information above.
Last month, he sold 50 chickens and 30 ducks for $550: 50x + 30y= 550
This month, he sold 44 chicken and 36 ducks for $532: 44x + 36y = 532

50x/10 + 30y/10 = 440/10
44x/4 + 36y/4 = 532/4

5x + 3y = 44
11x + 9y = 133

So, now that we have our answer simplified, we have to use elimination to solve this system of equations. But, first we need to make sure that at least one of our variables is able to be canceled out.
Let's multiply this equation by -3.
(5x + 3y = 44) * -3.

-15x-9y=-165.

11x + 9y = 133
-15x - 9y = -165
______________
-4x/4 = -32/4
x = 8
11x + 9y = 133
11(8) + 9y = 133
88 + 9y = 133
-88 -88
________________
9y/9 = 45/9
y = 5.
4 0
3 years ago
Read 2 more answers
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