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
Deffense [45]
3 years ago
10

solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41​

Mathematics
2 answers:
Serjik [45]3 years ago
6 0

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method).  We will work to eliminate one of the variables.  Since the y values are smaller, let's work to get rid of those.  That means we have to have a positive and a negative of the same number so they cancel each other out.  We have a 2y and a 3y.  The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2.  BUT they have to cancel out, so one of those multipliers will have to be negative.  I made the 2 negative.  Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3.  Therefore,

y = 1

The solution set then is (2, 1)

olga55 [171]3 years ago
5 0

x=2 and y=1

proof:

-9x+2y=-16

-9(2)+2(1)=-16

which is a true statement

You might be interested in
As the value of the multiple coefficient of determination increases,
Leona [35]

Answer:

a.the goodness of fit for the estimated multiple regression equation increases.

Step-by-step explanation:

As the value of the multiple coefficient of determination increases,

a. the goodness of fit for the estimated multiple regression equation increases.

As we know that the coefficient of determination measures the variability of response variable with the help of regressor. As we know that if the value of the coefficient of determination increases strength of fit also increases.  

7 0
3 years ago
X to the power of 2 plus Y to the power of 2 plus 4x-2y=1
exis [7]

Answer:

sfddddddgfd

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Algebra 1 polynomials hellllp​
defon
A. 40x^2 + 240x + 200
Shape: Rectangle
Formula: A = LW
A = (10x + 10)(4x + 20)
= (10x)(4x) + (10x)(20) + (10)(4x) + (10)(20)
= 40x^2 + 200x + 40x + 200
= 40x^2 + 240x + 200
————————————————————-
2. 57,600 ft^2
Width:
4x + 20 = 160
4x = 140
x = 35
Plug-In:
10x + 10
10(35) + 10
350 + 10
360 = Length
————————————-
A = LW
A = 360 • 160
A = 57,600 ft^2
8 0
2 years ago
Find mZDCE.
svetlana [45]

Answer: C

Step-by-step explanation: Hope this help :D

6 0
3 years ago
PLEASE HELP! THIS IS FOR A UNIT!
AlexFokin [52]

Answer:

n_{1} =-3+2i\\\\n_{2} =-3-2i

Step-by-step explanation:

You can see the attached picture

7 0
3 years ago
Other questions:
  • 1+tan²A/1+cot²A find its value​
    8·1 answer
  • Andrew began work at 6:45 AM. He went to lunch at 11:30 AM. After lunch, Andrew returned to work at 12:30 PM and worked until 3:
    8·1 answer
  • I need Help PLS<br><br><br><br><br> again
    6·2 answers
  • How do people go crazy?
    15·1 answer
  • A system of linear equations contains two equations with negative reciprocal slopes. How many solutions will it have?
    9·2 answers
  • Can someone help me answer this? I’ve been trying to get help for a while. Thanks!
    15·2 answers
  • Equation of points (-5,5) and (5,5)​
    8·1 answer
  • Can someone help me please !!!!!!!!!!!!!!!!!!
    7·1 answer
  • Jose's football weighs 7/8 of a pound. His football helmet weighs 4 1/6 of a pound. Estimate how much more the helmet weighs tha
    9·1 answer
  • Answer all these questions correctly to get a brainlist
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!