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Harrizon [31]
3 years ago
6

Use substitution to solve each system of equations y=3x-7 3x-y=7

Mathematics
1 answer:
N76 [4]3 years ago
6 0
3x-3x=7 x=7 or 0 cause anything ×0 is 0
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Which was the first British colony in the Americas?
Lana71 [14]

Answer:

Jamaica

Step-by-step explanation:

Hope this helps!!! :)

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Question 2 of 10
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The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers
Elis [28]

Answer:

The numbers are 23 and 7  

Step-by-step explanation:

1. Set up the equations

   Let x = the greater number

  and y = the smaller number. Then

(1) x - y = 16

       4y = 4 times the smaller number and

  4y - 5 = 5 less than 4 times the smaller number. Then

(2)     x = 4y - 5

You have a system of two equations:

\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}

2. Solve the equations

\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}

The larger number is 23; the smaller number is 7.

3. Check

\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}

OK.

3 0
3 years ago
Mrs. Brown has 7 more boys than girls in her class and has a total of 29 students. Which of the following systems of equations c
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Answer:

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Step-by-step explanation:

Let B = boys and G = girls. There are 7 more boys then girls. Set the equation:

B = G + 7

There are 29 students in total. Set the boys and girls equal to the total amount:

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B = G + 7 and B + G = 29 is your answer.

~

5 0
2 years ago
What is the mode median and mean
stellarik [79]
The mode is 17 because it occurs most often.

There are 23 data points, so the 12th one is the median (middle). The median is 15.

The mean is 15.435 because it is the average. Add up all the ages, then divide by the number of people.



8 0
3 years ago
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