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
anzhelika [568]
3 years ago
12

Solve the following system of equations. 5x+2y =-6 3x-2y = 22

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

5x+2y =-6 ........1

3x-2y = 22 ........2

Add both Equations

we get

8x = 16

Divide both sides by 8

x = 2

Substitute x = 2 into any of the equations

3(2) - 2y = 22

-2y = 22 - 6

- 2y = 18

Divide both sides by -2

y = - 9

x = 2 y = - 9

Hope this helps

You might be interested in
If x​=68 find the measures of angles​ 1, 2, and 3.
gavmur [86]

Answer:

Two angles are supplementary if the sum of their measures is 180 . ... You can write "the measure of angle 1" as m∠1. ... Find m∠2, m∠3, and m∠4.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
John Sells Hamburgers For $3 Each and cheeseburgers for $3.50 each. One afternoon, he sells a total of 24 burgers for $79. How M
Alexxx [7]
Let the hamburgers be x and cheese burgers be y.

x + y = 24
3x + 3.5 y = 79

x = 24 - y.

Substituting the value of x,

3( 24 - y) + 3.5 y = 79

 72- 3y + 3.5 y = 79
72 + 0.5 y = 79

0.5y = 79 - 72 = 7
1/2 y = 7

thus, y = 7 * 2 = 14

Substituting the value for x,

x + y = 24
x + 14 = 24
x = 24-14 = 10
Thus, x = 10.

Thus, she sold 10 hamburgers and 14 cheeseburgers 
4 0
3 years ago
Find the h.c.f of
yuradex [85]

The greatest common factor will be (x² – xy + y²).

<h3>Greatest common factor</h3>

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

x^3+^3 and x^2 - xy + y^2

Expand x^3+y^3

x^3+y^3 =(x + y)(x² – xy + y²).

Since (x² – xy + y²) is common to both expression, hence the greatest common factor will be (x² – xy + y²).

Learn more on GCF here: brainly.com/question/902408

#SPJ1

3 0
2 years ago
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha
TEA [102]

Answer:

The probability is   P(X  >300 ) = 0.97219

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    p = 0.96

Generally the mean is mathematically represented as

    \mu  =  n*  p

  => \mu  =  320 *  0.96

    => \mu  = 307.2

Generally the standard deviation is  

    \sigma =  \sqrt{n *  p *  (1 -p ) }

=>  \sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }

=> \sigma =3.50

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )

Here \frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )

=>P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )

Now applying  continuity correction we have

    P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )    

=>    P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )

=>    P(X  >300 ) =  P(Z >  -1.914 )

From the z-table  

    P(Z >  -1.914 ) =  0.97219

So

    P(X  >300 ) = 0.97219

8 0
3 years ago
-5x-4y=-7 on a graph
Flauer [41]

Answer:

Graph is attached below.

Step-by-step explanation:

If you want to solve for the variable x,

x = −4 / 5y + 7 / 5

3 0
3 years ago
Other questions:
  • A shipment to a warehouse consists of 1000 smart phones. The manager chooses a random sample of 50 smart phones and finds that 5
    15·1 answer
  • F(x)=2x+1; g(x)=3x-2 <br><br> find (f+g) (3)
    14·1 answer
  • There are 30 senators and 60 members of the house of representatives in the Arizona Legislature.Suppose 20 senators and 25 repre
    10·1 answer
  • Triple the sum of 45 and 55
    12·1 answer
  • A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
    14·2 answers
  • What are two partial products of 35 ×7
    14·2 answers
  • A softball pitcher has a 0.42 probability of throwing a strike for each pitch. If the softball pitcher throws 20 pitches, what i
    8·1 answer
  • Please help!! Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66
    8·1 answer
  • F(x)= x+4 <br> How do you do this step by step?
    12·1 answer
  • If you are good at math pls help me and use the screenshot below!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!