1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleks [24]
3 years ago
15

Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s

ame solutions as the one shown.
8x + 7y = 39
4x – 14y = –68
Mathematics
3 answers:
My name is Ann [436]3 years ago
3 0
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39         /2
</span>⇒ 16x + 14y = 78

Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2


y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5
almond37 [142]3 years ago
3 0

Answer:

Multiplying the first equation by 2 and adding the equations results in 20x = 10. The solution of the system is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39.

Naetoosmart2 years ago
0 0

Sample Response: Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).

You might be interested in
BRAINLIEST + POINTS! Help needed and explanation please!
sattari [20]

The Median is the middle value.

Arrange the numbers in order from smallest to largest:


Seattle:  23.78 , 32.46, 40.30, 45.79, 49.42, 55.14

Since there is an even number, the median is found by adding the 2 middle numbers and dividing by 2.

Median for Seattle: 40.30 + 45.79 = 86.09 / 2 = 43.045


Now do the same for Las Vegas:

2.33, 3.72, 3.84, 4.11, 5.62, 8.79

Median for Las Vegas: 3.84 + 4.11 = 7.95 / 2 = 3.975


Difference: 43.045 - 3.975 = 39.07


The answer is B.

5 0
3 years ago
Read 2 more answers
What is 1.03 * 1.005
ki77a [65]
1.03*1.005=1.03515
Don't you ahve a calculator on your phone or computer?
4 0
3 years ago
Read 2 more answers
Jenna bought 3 packs of bottled water, with 8 bottles in each pack. Then she gave 6 bottles away. Write an expression to match t
natima [27]
<h2>Jenna bought 3 packs of bottled water, with 8 bottles in each pack. Then she gave 6 bottles away. Write an expression to match the words.</h2><h2></h2><h2>(3x8)-6</h2>
3 0
3 years ago
Hhiycycucucicuvuvuvu​
suter [353]

Answer:

isjsuzizwjskzkzuziziss

6 0
2 years ago
Read 2 more answers
PLLEASEEEE ANSWER HURRY
Galina-37 [17]
The answer is y=-8 I’m pretty sure
6 0
3 years ago
Other questions:
  • What’s the value of n?<br><br> 3^n=1/9
    5·1 answer
  • The American Veterinary Association claims that the annual cost of medical care for dogs averages $100, with a standard deviatio
    9·1 answer
  • 8+3= <br>Is equals to what​
    6·1 answer
  • Can someone please help me with this?
    11·1 answer
  • Given an initial quantity Q0=150 and a growth rate of 7% per unit time, give a formula for the quantity Q as a function of time
    11·1 answer
  • PLEASE HELPPP Will Give brainliest if it help :) The question : You are at an amusement park with your friend. You spend $11.00
    5·1 answer
  • You decide to put new carpet in your living room and family room. The combined square footage (area) of both rooms is 535 square
    7·1 answer
  • Calculate the slope of the line that passes through the points (-4, -3) and (1,2)
    12·1 answer
  • Can someone helppp!! i will guy brainlist if it’s right!
    8·1 answer
  • ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!