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kodGreya [7K]
2 years ago
9

1/3x+y=9, -2x+2y= -6... what is x and y, using the substitution method?

Mathematics
1 answer:
Klio2033 [76]2 years ago
6 0
1/3x + y = 9
y = -1/3x + 9

-2x + 2y = -6
-2x + 2(-1/3x + 9) = -6
-2x - 2/3x + 18 = -6
-6/3x - 2/3x = -6 - 18
-8/3x = -24
x = -24 * -3/8
x = 9 <== here is y

-2x + 2y = -6
-2(9) + 2y = -6
-18 + 2y = -6
2y = -6 + 18
2y = 12
x = 12/2
x = 6 <=== here is x


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Karolina [17]

donuts and cream puffs were  45 & 4 respectively !

<u>Step-by-step explanation:</u>

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts   We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

  • twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ 2x=24y-6

⇒ x=12y-3            ................(1)

  • 10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ 10y= x-5

⇒ x=10y+5               ................(2)

Equation (1) & (2) :

⇒ 12y-3=10y+5

⇒ 2y=8

⇒ y=4

Putting  y=4 in  x=12y-3  :

⇒ x = 12(4)-3

⇒ x = 45

Therefore , donuts and cream puffs were  45 & 4 respectively !

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Answer: Mrs, William takes 18 treats to school.


Step-by-step explanation:

Given: When the crispy treats have cooled Mrs. Williams cut theme into 30 equal pieces .

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Hence, Mrs, William takes 18 treats to school.

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