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
andrey2020 [161]
3 years ago
10

Find the ordered pair (s, t) that satisfies the system

Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0

\left\{\begin{array}{ccc}\dfrac{s}{2}-3t=-1&\text{multiply both sides by 4}\\3t-2s=3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2s-12t=-4\\3t-2s=3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad -9t=-1\qquad\text{divide both sides by (-9)}\\.\qqud\qquad\boxed{t=\dfrac{1}{9}}\\\\\text{Put the value of t to the second equation}\\\\3\left(\dfrac{1}{9}\right)-2s=3\\\\\dfrac{1}{3}-2s=3\qquad\text{subtract}\ \dfrac{1}{3}\ \text{from both sides}

-2s=2\dfrac{2}{3}\qquad\text{divide both sides by (-2)}\\\\s=\dfrac{8}{3}\cdot\left(-\dfrac{1}{2}\right)\\\\\boxed{s=-\dfrac{4}{3}}\\\\Answer:\ \boxed{\left(-\dfrac{4}{3},\ \dfrac{1}{9}\right)}

You might be interested in
A quantity with an initial value of 3700 decays exponentially at a rate of 6% every 5
SSSSS [86.1K]

Answer:

2369.86

Step-by-step explanation:

f(36)=3700(1−0.06) ^36/5

2369.857704098921

4 0
2 years ago
Harry worked 7 hours last week. This is 1/3 as many as Aidan worked. How many hours did Aidan work?
Mars2501 [29]
Aidan has put 21 hours of work. To simplify it, Harry worked 7 hours and Aidan worked 7 x 3 times which equates to 21 hours.
7 0
3 years ago
Read 2 more answers
The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the fi
Thepotemich [5.8K]

Answer:

second term: 9

4th term:81

(3rd \: term)^{2}  = 9 \times 81

=729

\sqrt{729}  = 27

3rd term=27

{9}^{2}  = a1x27 \\ 81 = 27a1

a1=3 the first term

81 = 3 \times {q}^{3}

{q}^{3}  = 27

q=3

s = 3x \frac{1 -  {3}^{5} }{1 - 3}  = 364.5

5 0
3 years ago
Help me with this problem please i’m confused
Taya2010 [7]

Answer:

3rd

Step-by-step explanation:

If you know about linear eq. it's just a simple rule no worry

3 0
2 years ago
Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.
RideAnS [48]

Answer:

gtbhytyt4ff5ddtd56cc6c6c6c6f6c66ffb

6 0
3 years ago
Other questions:
  • -9x+2>18 and 13x+15<=-4
    6·2 answers
  • Kendyll has a 91% grade in math. If she scores 80% on one assignment what will her new grade in math be? IF she scores 90% on on
    9·1 answer
  • In 1987, the General Social Survey asked, "Have you ever been active in a veteran's group? " For this question, 52 people said t
    5·1 answer
  • Hey can some one help with this plz​
    10·1 answer
  • The number of tourists visiting a city doubles every month during the two-month period beginning in Jan, 1st and ending
    6·1 answer
  • Which of the following mood words has a negative connotation?
    7·2 answers
  • Need help w this question thanksss!
    15·1 answer
  • X (5x+10) - 2 (5x+10) = 0
    13·1 answer
  • CAN SOMEONE HELP ME WITH THESE 2 questions please don’t answer if u don’t know !! Will mark u brainlist and will give u points !
    14·2 answers
  • Which expression shows the distance on the number line between −7 and 16?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!