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
8_murik_8 [283]
3 years ago
7

Solve the system of equations 3x-4y=18 -2x-3y=5

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
6 0
\left\{\begin{array}{ccc}3x-4y=18&/\cdot2\\-2x-3y=5&/\cdot3\end{array}\right\\\\+\left\{\begin{array}{ccc}6x-8y=36\\-6x-9y=15\end{array}\right\\-------------\\.\ \ \ \ \ \ \ -17y=51\ \ \ \ |:(-17)\\.\ \ \ \ \ \ \ \ \ y=-3\\\\3x-4(-3)=18\\3x+12=18\\3x=18-12\\3x=6\ \ \ \ |:3\\x=2\\\\Answer:x=2\ and\ y=-3\to(2;-3)

Dmitry [639]3 years ago
5 0
\left \{ {\big{ 3x-4y=18\ /\cdot2} \atop\big {-2x-3y=5\ /\cdot3}} \right.\\\\  \left \{ {\big{ 6x-8y=36} \atop\big {-6x-9y=15}} \right.\\---------\\-17y=51\ /:(-17)\\.\ \ \ \ \ \ y=-3\\\\3x-4y=18\\\Rightarrow\ \ 3x-4\cdot(-3)=18\ \ \ \Rightarrow\ \ 3x+12=18\ \ \ \Rightarrow\ \ 3x=6\ \ \ \Rightarrow\ \ x=2\\\\ \left \{ {\big{ x=2\ \ \ } \atop\big {y=-3}} \right.
You might be interested in
What is community property and associative property
hichkok12 [17]
It's "commutative property," which says that (for addition/multiplication) order of the operator doesn't matter. For eg, 3 * 5 = 5 * 3. 

Associative property (again, of multiplication and addition) means that it doesn't matter how you solve an expression if the same operand is used and some numbers are grouped. For eg. 3 * (5 * 4) = (3 * 5) * 4.
4 0
3 years ago
Se 15% de um rebanho bovino são bois e o restante são vacas, qual é o total de cabeças desse rebanho, se há 17.000 vacas?
sveticcg [70]

Responder:

20.000

Explicação passo a passo:

Dado que:

Porcentagem de bois no rebanho = 15%

Percentagem de vacas = (100 - 15)% = 85%

Número de vacas = 17.000

Por isso,

85% = 17.000

15% = x

Multiplicação cruzada

0,85x = 17.000 * 0,15

0,85x = 2550

x = 2550 / 0,85

x = 3000

Número de bois no rebanho = 3000

Portanto, número total de gado no rebanho =

3000 + 17000 = 20.000

5 0
3 years ago
What is y-8=3(x+1) written in standard form?
creativ13 [48]

Answer:

-3x+y=11

Step-by-step explanation:

y-8=3(x+1)

y=3x+3+8

y=3x+11

y-3x=11

-3x+y=11

4 0
4 years ago
What is the radius for this given equation? (x^2+10x) + (y^2-8y)=59
Eva8 [605]

Answer:

The answer to your question is r = 10

Step-by-step explanation:

Data

            (x² + 10x   )  +  (y² - 8y   ) = 59

Process

1.- Complete the perfect square trinomials

             (x² + 10x + (5)²) + (y² - 8y + (4)²) = 59 + (5)² + (4)²

2.- Simplify

             (x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16

3.- Factor

             (x + 5)² + (y - 4)² = 100

or             (x + 5)² + (y - 4)² = 10²

4.- Compare the result with the standard form

                 (x - h)² + (y - k)² = r²

then r² = 10²

and  r = 10

5 0
3 years ago
Find the gradient of the line segment between the points (-5,-2) and (4,3).
maksim [4K]

there is the answer above

5 0
3 years ago
Other questions:
  • What is the slope of (0,3) and (1,0)
    6·1 answer
  • Anastasia gets overtime (time and a half) for every hour she works over 40 hours. If her hourly pay is $28.50, how much would sh
    14·1 answer
  • What plus what equals 2,896?
    8·2 answers
  • In the picture down below
    10·1 answer
  • 7
    7·1 answer
  • Which decimal is less than 0.8 and greater than 0.02?
    5·1 answer
  • Which line plot shows the data?
    9·2 answers
  • Let’s play a game Best gaming setup gets (brainliest) here’s mine
    10·1 answer
  • 2. What is the standard form of y = 2/5x - 6
    14·1 answer
  • Calculate the rate of change (slope)<br> for the given line.<br> 20<br> 2<br> о
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!