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
PSYCHO15rus [73]
2 years ago
8

1. Solve each system of linear equations below, then check your work.

Mathematics
1 answer:
Brut [27]2 years ago
5 0

Answer:

a)  \: x =  - 3 \: and \: y = 2 \\ b) \: x = 1 \: and \: y =  -  \frac{5}{4}  \\ c) \: \: x = 25 \: and \: y = 0 \\ d ) \: x = 10 \: and \: y =  - 12

Step-by-step explanation:

question (a)  \: \: \: 3x - y =  - 11 \\ \: \: \: - x + y = 5 \\ \\ 2x =  - 6 \\  \frac{2}{2} x =  \frac{ - 6}{2}   \\ x =  - 3

\\ since \: x =  - 3 \: then \: y = \\ \\ - x + y = 5 \\  - ( - 3) + y = 5 \\ y = 5  - 3 \\ y = 2

\\ (check) \\ recall \: that \: x =  - 3 \: and \: y = 2 \\ \\ - x + y = 5 \\  - ( - 3) + 2 = 5 \\ 3 + 2 = 5 \\ 5 = 5

question (b)  \: \: \: -2y + 3 = 4x + 2 \\ 6x + 4y =   1 \\ \\ ( - 4x - 2y =  - 1) \times 2 \\\: \: \: 6x + 4y = 1 \\ \\ - 8x - 4y =  - 2 \\ 6x + 4y = 1 \\ \\ - 2x =  - 2

\frac{ - 2}{ - 2} x =  \frac{ - 2}{ - 2}  \\ x =  1 \\ \\ since \: x = 1 \: then \: y =  \\ \\ 6x + 4y = 1 \\ 6(1) + 4y = 1

4y =  - 6 + 1 \\  \frac{4}{4} y =   - \frac{ 5}{4}  \\ y = -   \frac{ 5}{4}  \\ \\ (check) \\  - 2y + 3 = 4x + 2

- 2( -  \frac{5}{4} ) + 3 = 4(1) + 2 \\  \frac{5}{2}  + 3 = 6\\  6 = 6

question (c) \: \: \: 32y - x =  - 25 \\ \: \: \:  5x = 100 + x - 8y \\ \\ 32y - x =  - 25 \\ 8y + 5x  -  x = 100 \\ \\ (32y - x =  - 25) \times 4 \\ 8y + 4x = 100

128y - 4x =  - 100 \\ 8y + 4x = 100 \\ 136y = 0 \\ y = 0 \\ \\ since \: y = 0 \: then \: x = \\ \\ 32y - x =  - 25 \\ 32(0) - x =  - 25 \\  - x =  - 25 - 0 \\  \frac{ - 1}{ - 1} x =  \frac{ - 25}{ - 1}  \\ x = 25 \\

(check) \\ 5x = 100 + x - 8y \\ 5(25) = 100 + (25) - 8(0) \\ 125 = 125 - 0 \\ 125 = 125

question (d) \:  \:  \: 2y + 3x = 6 \\ \: \: \:  4x + 5y + 20 = 0 \\ \\ ( 2y + 3x = 6) \times 4 \\ (5y + 4x =  - 20) \times  - 3 \\ \\ 8y + 12x = 24 \\  - 15y - 12x = 60

- 7y = 84 \\  \frac{ - 7}{ - 7} y =  \frac{84}{ - 7}  \\ y =  - 12 \\ \\ since \: y =  - 12 \: then \: x =  \\ \\ 2y + 3x = 6 \\ 2( - 12) + 3x = 6 \\  - 24 + 3x = 6 \\ 3x = 6 + 24 \\ x = 10 \\ \\ (check) \\ 4x + 5y + 20 = 0 \\

4(10) + 5( - 12)  + 20 = 0 \\ 40 - 60 + 20 = 0 \\  - 20 + 20 = 0 \\ 0 = 0

You might be interested in
Using the graph below, what is the value of f(6) ?
Dima020 [189]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(6) =   - 2

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

5 0
3 years ago
Read 2 more answers
Hey someone help me with this please
OverLord2011 [107]

Answer:

d

Step-by-step explanation:

d. neither

If I helped please vote brainliest

6 0
3 years ago
A drum has a diameter of 10 inches. find the area of the top of the drum. use 3.14 for pi.
icang [17]

Answer:

My answer is 78.55

Step-by-step explanation:

I've given the steps. Hope it really helps

4 0
3 years ago
Read 2 more answers
Which type of study best describes the following research most likely to be done? A teacher wants to know how fast all her stude
Yakvenalex [24]

Census

_____________________________________

<em>*100% CORRECT ANSWERS</em>

Question 1

Which type of study best describes the following research most likely to be done?

A researcher is testing out a brand new type of safety suit for fires and is trying to test the maximum threshold of the suit.

Simulation Study  

Question 2

Which type of study best describes the following research most likely to be done?

A test is being conducted on a new medicine that is supposed to heal cuts faster. One group is given the actual medicine in a gel type of ointment to apply to the cuts. The second group is given just regular Vaseline that looks like the medicine but has not benefit to put on the cut. The results are then compared.  

Experimental Study  

Question 3

Which type of study best describes the following research most likely to be done?

A researcher is wanting to research the after effects of plant growth after a nuclear reactor meltdown and decides to study plants within a 50 mile radius of the  power plant that had a catastrophic melt down in 2011.  

Observational Study  

Question 4

Which type of study best describes the following research most likely to be done?

A study is being conducted by an insurance actuary and he wants to determine how often American teen drivers that are on the honor roll get into wrecks.  

Sampling  

Question 5

Which type of study best describes the following research most likely to be done?

A teacher wants to know how fast all her students for a particular period can complete a multiplication quiz to check their mental math abilities. So, all of her students are tested on a computer and the time of each and every student is recorded.  

Census

6 0
3 years ago
A line passes through the points (–1, 10) and (3, 2). Which shows the graph of this line?
PolarNik [594]

Answer:

the answer is A.

Step-by-step explanation:

i just took the test ;)

3 0
3 years ago
Other questions:
  • arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet
    5·1 answer
  • In the diagram shown, line m is parallel to line n . Justine says that ∠3 ∠ 3 and ∠7 ∠ 7 are supplementary angles. Is she correc
    9·1 answer
  • What is the sum for 1/12 +5/8
    13·1 answer
  • Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. Then use your result to find th
    10·2 answers
  • Help with questions 1-10
    7·2 answers
  • A six sided cube is rolled. find the probability of P (4) as a decimal
    14·1 answer
  • Which number is located at the point Q on the number line?
    12·1 answer
  • Dan made 8 out of 10 free throws. What is the experimental probability that he will not make his next free throw? What is the th
    7·1 answer
  • NEED HELP ASAP!<br><br> Complete the sentence.<br> _______ 20% of days is 4 days.
    10·1 answer
  • Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the rema
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!