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irina1246 [14]
1 year ago
10

The sum of 3 times one number, x, and 6 times a second number, y, is 111. If the sum of the two numbers is 27, find the two numb

ers.
Enter a system of equations to represent the situation, then solve the system.
Mathematics
1 answer:
salantis [7]1 year ago
6 0

Step-by-step explanation:

using elimination method because this is a simultaneous equation

3×x+6×y=111

x+y=27

1×[3x+6y=111]

3×[x+y=27]

3x+6y=111—equation 1

3x+3y=81—equation 2

substrate equation 1 from equation 2

3y=30

divide both sides by 3

y=10

substitute 10 for y in equation 1

3x+6y=111

3x+6(10)=111

3x+60=111

3x=111-60

3x=51

divide both sides by 3

x=17

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Answer:

-3x-3y=-24

divide the equation by 3

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multiply -1

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second equation

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same equation

so answer is

x+y=8

Step-by-step explanation:

5 0
3 years ago
Amanda left the theatre, drove toward the shop, got gas, and then continued driving to the shop. Let g be the amount of gas (in
Vedmedyk [2.9K]

Any time the car is driving, the amount of gas is decreasing.
The only time the amount of gas can increase is the short time when
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The middle graph is the one doing that.

4 0
3 years ago
Fiona divided 3x2 5x – 3 by 3x 2. the expression represents the remainder over the divisor.what is the value of a?
Pavel [41]
If Fiona is to divide the first expression by the second one, clearly only the first term of the first expression is divisible. The remaining terms of the fist expression will remain as the remainder. The remainder from the division done by Fiona should be 5x - 3. 
5 0
3 years ago
Caroline was thinking of a number. Caroline halves the number and gets 7.3. Form an equation with x from the information.​
Damm [24]

Answer:

The equation is: \frac{x}{2} = 7.3

Step-by-step explanation:

Caroline was thinking of a number.

We are going to call this number x.

Caroline halves the number and gets 7.3.

To find half of a number, we multiply by 1/2. So

\frac{1}{2} \times x = 7.3

\frac{x}{2} = 7.3

6 0
3 years ago
Someone help w pre-algebra, smth about proportional data
inessss [21]

Answer:

The answer is no because for 1 hour he gets 20 dollars and for 2 hours he gets 30$ (which is less for working 2 hours). So, if you multiply 2 hours with 20 dollars, you should get 40, not 30. So therefore, it is not proportional. And same for 3 hours: multiply 3 with 20 to get 60, not 50.

6 0
2 years ago
Read 2 more answers
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