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
dangina [55]
3 years ago
12

Solve the linear system of equations using the linear combination method. {8a−4b=205a−8b=62

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0
Sorry I am a little late...

a = -2

b = -9

Here is how to solve the problem. 

First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40. 

You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D 

So there you have your first answer. 

a = -2 

Now we're going to use the first answer to help us find b. 

For the second equation, all you're going to do is plug in that a. 

5 (-2)-8b=62 

-10 - 8b = 62

Now we move the -10 to the other side...

-8b = 62 + 10 

-8b = 72

Multiply the whole thing by negative once again to turn the b positive.

Now we have 8b = -72 

The final step is to simplify. -72/11 = -9

b = -9 

Hope this makes sense! Also I had the same question on my test and I got it right. :)

You might be interested in
Statements
zubka84 [21]

Answer:

you can go on something called tiger algerbra

Step-by-step explanation:

7 0
2 years ago
Need helppppp asapppp
Ymorist [56]

The answer is C. 65........

4 0
3 years ago
Read 2 more answers
40 points a bird drops a stick to the ground from a height of 80ft. the function h = 16t^2 +80 gives the stick approximate heigh
Ira Lisetskai [31]
√ 80/16=t t=0.5590169943749474
4 0
3 years ago
A $10 shirt is on sale for 10% off. What is the price of the discount? (The sales tax is 5%)
fiasKO [112]
Pretty positive it is b. $1
4 0
1 year ago
Suppose x and y are real numbers and x+y=2. Which of the following statements must be true about x and y? A. If one of the numbe
Fiesta28 [93]

Answer:

I think that it is A

3 0
2 years ago
Other questions:
  • B.rotation 180
    11·1 answer
  • Elaine bought 3 4/5 pounds of apples for $1.99 per pound, 3/4 pound of pears for $2.25 per pound, and 3 2/3 pounds bananas for $
    11·2 answers
  • One of the assumptions underlying the theory of control charting is that successive plotted points are independent of one anothe
    7·1 answer
  • In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports. Then how many students
    15·1 answer
  • A number greater than 40 whose prime factorization contain 3 prime numbers that do not repeat
    14·1 answer
  • Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those t
    15·1 answer
  • PLZ HeLP
    14·1 answer
  • What is -12/18 as a whole number
    10·1 answer
  • How many dots are there at 100 minutes?
    13·2 answers
  • Graph the following quadratic equation<br> f (x) = x² - 4x + 3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!