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
Valentin [98]
3 years ago
15

Solve the system of equations by the addition method. 8x+y=-2 4x-y=-14

Mathematics
2 answers:
Anarel [89]3 years ago
6 0

8x + y = -2

4x - y = -14

To solve this via the addition method, we just need the two equations together; that means that we will create a new equation where the terms on the left side of both equations are added together and are set equal to the sum of the terms on the right side of both equations:

(8x + y) + (4x - y) = (-2) + (-14)

8x + y + 4x - y = -2 - 14

(8x + 4x) + (y - y) = -16

12x + 0 = -16

x = \frac{-16}{12}

x = \frac{-4}{3}

Now that we have solved for one term, we can plug this value into either equation to get the value for the other:

4x - y = -14

4(\frac{-4}{3}) - y = -14

\frac{-16}{3} - y = -14

\frac{-16}{3} + 14 = y

\frac{26}{3} = y

This means the solution to the system of equations is (-\frac{4}{3}, \frac{26}{3})

gayaneshka [121]3 years ago
3 0

Answer:

Step-by-step explanation:

8x + y = -2

4x - y = 14

12x = 12

x = 1

8 + y = -2

y = -10

(1, -10)

You might be interested in
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
borishaifa [10]

Let x represent number of bracelets and y represent number of necklaces.

We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be x+7. We can represent this information in an equation as:

y=x+7...(1)

We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be 6x grams.

We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be 16y grams.

Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:

6x+16y=178...(2)

Therefore, our required system of equations would be:

y=x+7...(1)

6x+16y=178...(2)

8 0
3 years ago
Freddie has 2 times as many comic books as David. The ratio of the number of comic books David has to the number of comic books
nasty-shy [4]

Answer:

88

Step-by-step explanation: make me brainliest if it is correct

6 0
2 years ago
Can someone help the last problem i am confuse ​
viktelen [127]

Answer:

$1.03

Step-by-step explanation:

total cost / 17 burgers

17.51 ÷ 17 = 1.03

5 0
3 years ago
What is the rule for the pattern 11,19,16,24,21,2926,...
ehidna [41]
It is +8 -3, unless you have answer choices that says it a specific way?
8 0
3 years ago
Read 2 more answers
4/5×1 1/9÷2 2/3. please help me​
aleksklad [387]

Answer:

1/3

Step-by-step explanation:

when you change the mixed numbers to improper fractions, you get 4/5 * 10/9 ÷ 8/3. you can flip the 8/3 to 3/8 and change the division sign to multiplication, because dividing by a fraction is the same as multiplying by its reciprocal. you can cancel some things and ultimately you get 1/3

4 0
3 years ago
Other questions:
  • What is the common ratio of the geometric sequence shown below <br> -2,4,-8,16
    8·1 answer
  • I really need help with number 3 and 4 please help me
    7·2 answers
  • A graph is given to the right. a. Explain why the graph has at least one Euler path. b. Use trial and error or​ Fleury's Algorit
    11·1 answer
  • Grace is taking a road trip that is 1,133 miles long. She has already driven 978 miles. How many
    7·1 answer
  • Find the volume of the rectangular prism. <br> V = ?<br> cm3
    14·2 answers
  • 1. Which of these four figures are congruent to the top figure?
    15·1 answer
  • How do youwrite 37% as a fraction and as a decimal
    12·2 answers
  • 25 POINTS!!! HELP PLEASE &lt;3
    6·1 answer
  • Use the diagram of the volcanic island for problems 16-17
    12·1 answer
  • Darryl Dixon shoots an arrow at a zombie. The path of the arrow can be modeled with the equation y=-x^2 42x-80, where x is time
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!