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
sergey [27]
3 years ago
13

Solving systems of elimination

Mathematics
1 answer:
Leokris [45]3 years ago
6 0
To answer by systems of elimination, you add equations together to eliminate variables if they have the same amount of negative variables in one as the positive variables in another.
For example, in number one.

x - y = 11
2x + y = 19

Both equations contain a variable expressed in the same numbers of negative and positive in each of them, one positive y and negative y. This lets us add the equations together.
x + 2x = 3x
 11 + 19 = 30
3x = 30
x = 10

Now that we know that x = 10, we can plug it into the first equation, x - y = 11 to find y.

x - y = 11
10 - y = 11
y = -1 

For the second one,

4x + 8y = 20
-4x + 2y = 30

Negate the x's since there is the same and opposite amount, while adding the rest of the equations together.

8y + 2y = 10y
20 + 30 = 50
10y = 50
y = 5

Plug it into the initial equation to find x

4x + 8(5) = 20
4x + 40 = 20

Subtract 40 from both sides

4x = -20
x = -5

For the third equation,

-6x + 5y = 1
6x +4y = -10

Negate the x's, add the rest together

5y + 4y = 9y
1 - 10 = -9
9y = -9
y = -1

Plug it into the first equation to find x

-6x + 5y = 1
-6x + 5(-1) = 1
-6x - 5 = 1

Add five to both sides

-6x = 6
Divide both sides by negative 6
x = -1

When the problems do not have the same value of opposite versions of current numbers, for example:

3x + 4y = 6
-6x +g = 6

You can multiply an entire equation to get similar numbers of a variable.
For example, you can multiply the first equation entirely by 2 to get the same number of positive x's to the negative x's in the second one, changing it to 6x x 8y = 12.

Hope I helped.

You might be interested in
Renaldo catches the bus at 4:00 pm to ride 3.2 miles from his house to the dentists office. he arrives at 4:30 pm, for a one hou
andrew11 [14]

Answer:

Step-by-step explanation:

speed = distance/time

so renaldo speed = 3.2/0.5 = 6.4miles/hr (since time taken is 1/2 hr)

now after 1 hr of his appoinment i.e at 5:30pm he took bus whose speed is same as before i.e 6.4 miles/hr

now time taken to cover this 4.8 miles = 4.8/6.4 = 3/4 hr (since time = distance /speed )

3/4 hr = 3/4 * 60 = 45 minutes

so he reached at 6:15pm . so he will be on time.

8 0
3 years ago
What is the slope of the function?
meriva

Answer:

I d ok not really so good luck though

4 0
2 years ago
Choose the algebraic expression that describes: 13 less than y.
Harrizon [31]
Y-13 because it’s less than y so it’s subtracting from the y
5 0
3 years ago
Please show work <br><br> Thank uuuu :)
hjlf

2 boxes for $6.00 5 Bars each is 10 bars for $6.00 or $3.00 for 5 bars

so $6.00 divided by 10 =.60 or 60 cents per bar

12 bars for $7.44 is $7.44 divided by 12 =.62 or 62 cents per bar

so the difference between 60 cents and 62 cents is

2 cent Difference 

3 0
3 years ago
Answer question below.
Alinara [238K]

Answer:

theres no question, but i love your pfp

my fave anime

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • 3n - 24<br> How to factor out the coefficient of the variable
    7·1 answer
  • Wrire a word problem for 3/5 times 2/3.
    11·1 answer
  • chris wants to put up a fence around his sqaure garden the garden measures 3 feet on each side .how much fencing matirial does h
    6·1 answer
  • What is the area of the following figures <br><br> Important, thank youuuuu!!
    6·2 answers
  • A scooter travels 10 miles per hour faster than an electric bicycle. The scooter traveled for 3 hours, and the bicycle traveled
    14·1 answer
  • Plz help I don’t get it
    12·1 answer
  • At age 25, Gherman Titov was the youngest person to travel into space. This is 52 years less than the oldest
    6·1 answer
  • Find the unit rate demonstratied in the graph below need help asap
    13·1 answer
  • . There is 40% decresed in price on a sale. It is futher decresed by 5% find the total decreased percentage​
    15·1 answer
  • 5t + 6 please help ifyou help me i will help you
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!