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
NikAS [45]
3 years ago
5

Solve the following system of equations. Express your answer as an ordered pair in format (a,b), with no spaces between the numb

ers or symbols. 3x+4y=16 and -4x-3y=-19

Mathematics
2 answers:
Ghella [55]3 years ago
6 0

Remark

There are two ways to do this. You can graph the equations (which I have included at the end of the question using Desmos) or you can solve it algebraically which in this case is going to be slightly painful.

Algebra

Multiply the first equation by 4 and the second by 3

<em><u>First Equation</u></em>

4 [3x + 4y = 16]

12x + 16y = 64             (3)

<em><u>Second Equation</u></em>

3 [-4x - 3y = - 19]

- 12x - 9y = - 57           (4)

Add (3) and (4)

12x + 16y = 64

<u>- 12x - 9y = -57 </u>           Add

7y = 7                           Divide by 7

y = 1

Solve for x

3x + 4y = 16         Let y = 1

3x + 4(1) = 16

3x + 4 = 16           Subtract 4

3x = 12                 Divide by 3

x = 12/3

x = 4

Answer

(4,1) just as the graph suggests.

Gala2k [10]3 years ago
6 0

Answer:

(4,1)

Step-by-step explanation:

3x + 4y = 16

-4x - 3y = -19

4( 3x + 4y = 16)

3( -4x - 3y = -19)

Distribute

12x + 16y = 64

-12x - 9y = -57

Now subtract both equations

7y = 7

/7 on both sides

y = 1

Substitute y = 1 in one of the equations.

3x + 4y = 16

3x + 4(1) = 16

-4 on both sides

3x = 12

/3 on both sides

x = 4

Answer:

x = 4

y = 1

You might be interested in
5x+3y&gt;_ 9 <br> ^<br> This sign is supposed to be greater than Or equal to. Sorry.
Andre45 [30]
It’s saying the equation is going to be equal to.

HOPE THIS HELPS
5 0
3 years ago
3(y+6)=30 solve equation
stiv31 [10]

Answer:

3(y+6)=30

3y + 18 = 30

18 - 30 = 3y

12 = 3y

12/3 = y

4 = y

or

y = 4

3 0
3 years ago
Read 2 more answers
Find the number of bit strings that satisfies the given conditions. The bit strings of length 11 having at least four 1s
Rainbow [258]

Answer:

Step-by-step explanation:

3 0
3 years ago
Find the greates common factor of the following monomials:2r^4s^2 and 36r^4s^3
ki77a [65]

The greatest common factor is 2r^{4} s^{2}


This is because we start by taking the largest factor that goes into both coefficients. Since the first coefficient is 2, we have to try 2 and 1. Since 2 is larger and goes into 36 evenly, we use that.


Then we use the smallest number of each variable. There are 4 r's in both equations. So, that is the number that we take. There are 2 s's in the first term, so we take that number.

6 0
3 years ago
The table shows the cost of renting movies online. Number of Movies Cost 1 $3.99 2 $7.98 3 $11.97 4 $15.96 5 $19.95 What does th
Iteru [2.4K]

Answer: A


Step-by-step explanation: If you subtract each price by the price lower then it. Ex: $19.95 - $15.96 = $3.99, $15.96 - $11.97 = $3.99 and so on. They all equal $3.99.


3 0
3 years ago
Other questions:
  • I need help on this question
    14·1 answer
  • 20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5<br> What is the value of logb(a5c2/d6)?
    5·1 answer
  • Plz help i need to do this for my exam plzzz help
    7·1 answer
  • The bill for the repair of a car was $357. The cost for the parts was $285. The cost of labor was $32 per hour. Use an equation
    6·1 answer
  • Given g(x) = x2 - 4x + 7 , find g (3)<br><br>a) 4<br>b) 9 <br>c) 12 <br>d) 1 ​
    9·2 answers
  • See the image please answer as fast as possible 15 points!
    5·2 answers
  • Luke is doing a Science Fair project. He observes that the cells double every 6 hours. If he starts with 50 cells, how many will
    9·1 answer
  • Which statement is true?
    9·1 answer
  • Luis created a spreadsheet of his expenses for three months. Which of Luis's expenses are variable expenses?
    7·1 answer
  • A bedroom wall is 32 m wide and 54 m long. What is the total area of the wall? A can of paint will cover 12 sq. meter. How many
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!