x + 3y = 5
x + 2y = 3
Solve by using elimination​

Answers

Answer 1

Answer:

  (x, y) = (-1, 2)

Step-by-step explanation:

The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)

  (x +3y) -(x +2y) = (5) -(3)

  y = 2 . . . . . . . simplify

  x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x

The solution is (x, y) = (-1, 2).


Related Questions

Which is NOT a function?

A. y = x + 3^2
B. x + y = 3^2
C. x + 3 = y^2
D. y = x^2 - 3

Answers

Answer:

All are functions

Step-by-step explanation:

A.  y = x + 9  A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.

B.    x + y = 9

       y = -x + 9   A graph of a line.  There are no x values that are the same number on the graph.  The graph passes the vertical line test

C.  x + 3 = y²

   [tex]\sqrt{x + 3} = y[/tex]  The graph passes the vertical line test. On the graph, there are no x-values that are the same number.

D.   y = x² - 3   The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).

(7-3t)-5(1.6t+5) please help me

Answers

Answer:

5t - 18

Step-by-step explanation:

to much to type but that's the answer to your question

find slope and y intercept
x + y = -2

Answers

Answer:

slope =1 and y intercept = -2

Step-by-step explanation:

Find Slope and Y intercept

Slope and Y intercept

x+y=-2<-- subtract x to get y alone

y=-x-2

Thus slope is 1/1 or 1

and y intercept is -2

Answer:

-1

Step-by-step explanation:

y=mx+c  m=slope

c=y intercept

y=-x+2

so the slope is -1 and intercept of 2

Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.

Answers

Answer:

18.75

Step-by-step explanation:

80 = 100%

1% = 100%/100 = 80/100 = 0.8

the grades changed by 95 - 80 = 15.

how many % is that ?

we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :

15 / 0.8 = 18.75

so, the grades changed by 18.75%.

solve pls brainliest

Answers

Answer:

1) YES

2)NO

3)YES

4)YES

5)YES

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

What is y x y x y simplified

Answers

Answer:

y x y x y is simplified as y³

Step-by-step explanation:

Hoped this helped.

Answer:
Y x Y x Y is simplified as y^3

Hope this helps!!!

which answer is correct

Answers

Answer:

see below for answer

Step-by-step explanation:

(4p^2+32p)/(p-2)=(4p(p+8))/p-2

(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)

(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p

i need to find what is 18 divided by 8

Answers

The answer is 2.25.

Answer:

2.25

Step-by-step explanation:

Twice the difference of a number 8 equals 5

Answers

Answer:

2(n-8) = 5

Step-by-step explanation:

I'm assuming that its supposed to say "a number and 8"

Answer:

x=10.5

Step-by-step explanation:

x will be a number

2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.

Solving

2(x-8)=5

2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16

2x=16+5--> add 16 to other side of x

2x=21--> add like terms

2x / 2 =21 / 2--> single out x

x=10.5 --> 21/2 --> just divide

Write a mathematical question that explains the following sentence:

two more than triple a number is fourteen

Answers

two more than triple a number is fourteen might be 2×7=14

PLEASE HELP!!!!!!!!! URGENT!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is

A. True

that is correct

I believe its true because the rule 1/4 and it works for all 12 x 1/4= 3 8 x 1/4= 2 4 x 1/4= 1 0 times anything is 0

What is 216/162 written as an improper fraction in simplest form?

6/4

4/3

3/2

Answers

Answer:

4/3

Step-by-step explanation:

216/162 216 is divisible by 54 and so is 162 so if you divide both by 54 you get 4/3

Answer:

4/3

Step-by-step explanation:

lowest terms is 4/3 e e e. e

What is the area of a rectangle with a width of x^2+x+1 and a length of 3x^2-2x-1?

Please help!

Answers

Answer: width= 2x-1 and length= 3x+2

Step-by-step explanation: SOLUTION: Choose a possible dimensions of a rectangle with a width= 2x-1 and length= 3x+2 so that its area is greater than 153cm² a. W= 13 L= 15 b. W= 11 L= 20

Decide if the following situation is a unit rate or not why or why not?
You score 12 points in one basketball game.

Answers

Answer:

Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.

Planes S and R both intersect plane T .

Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.

Which statements are true based on the diagram? Select three options.

Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y

Answers

Answer:

B,D,E

Step-by-step explanation:

I don’t understand pls help

Answers

Answer:

x ≤ 15

Step-by-step explanation:

the first step is to add 3 to each side to get:

x/5 ≤ 3

last step is to multiply each side by 5 to get:

x ≤ 15

I need this really quick!!

Answers

Answer:

400 ft

Step-by-step explanation:

H = 160t - 16t^2 = 16t(10 - t)

The minimum/maximum of a quadratic function is always exactly in between the 0 points (or any other points with equal value, as a parabole is symmetrical).

Let's solve for H = 0

16t(10-t) = 0

t = 0 or 10 - t = 0

t1 = 0, t2 = 10

the maximum is at (t1+t2)/2 = 5

H(5) = 16*5(10-5) = 80*5 = 400

Kenny has 576 baseball cards. He would like
to put them in a blnder. Each binder page
holds 12 cards. 'How many pages does he
need for his baseball card binder?

Answers

Answer:

Divide 576 by 12 and you'll get your answer.

Answer:

Kenny will need 48 pages

Step-by-step explanation:

576 into 12 = 48 therefore Kenny will need 48 pages for his baseball card binder.

Amount of baseball cards into How among pages a binder can hold equal Amount if pages needed.

Someone help me pls!

You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40

How much will you save per apple if you buy them at the cheaper store?

Answers

Answer:

You save $0.09 at Quick Mart for price per apple

Step-by-step explanation:

Quick mart = 1.17/3 = $0.39 per apple

Shop & Save = $0.48

$0.39 - $0.48 = $0.09

You save $0.09 per apple at Quick Mart

-Chetan K

i think 2.40$ or 3.40$ or some kind of money

Norachai was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought seven more. How many did
he start with if he now has 25?

Answers

subtract by seven, multiply by 2: 25-7=18 x 2=36

sami is making necklaces for a craft show. each necklace is 33.4 cenimeters long. if she has 233.8 centimeters of cord, how many necklaces can sami make

Answers

Answer:

Sami can make 7 necklaces.

233.8cm ÷ 33.4 = 7

A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons

Answers

Answer:

1/3 hours : 22 gallons

1.5 hours : 99 gallons

Step-by-step explanation:

set a proportion fo all of them

x hours : 22 gallons:

66 22

--- = ---

60 x

22/66 = 0.3333333333333 x 60

= 20 and convert to fraction

20/60 simplified is 1/3

1.5 hours : x gallons

66 x

-- = ---

1 1.5

1.5 / 1 = 1.5

1.5 x 66 = 99

x = 99

Savannah decides to download some new music. she downloaded 5 albums and 7 singles, and his total was $71. The next day she purchased more music from the same retailer and downloaded 3 more albums and 6 singles for a total of $48.

Assuming that all albums and singles are the same prices, how much did she spend on each album and each single? Write a system of equations to represent this situation. Then solve for the solution using the elimination method.

Answers

Answer:

Step-by-step explanation:

downloaded= 5 albums and 7 singles and total price is $71

Know,

           album + singles = 5+7=  12

           ∴ price÷ from total of albums and singles

              $71÷12=$5.92

 per album     = $5.92

 per single     =  $5.92

Next day;

                3+6=9

    total price =$48

                 ⇒ =$48÷9 = $5.3

     per album= $5.3

     per album= $5.3

"""""  I just try to Solve """"""

Answer:  Singles are $3/each and albums are $10 each.

Step-by-step explanation:

Let A and S represent the number of Albums and Singles, respectively.

We are told that:

5A + 7S = $71

and also that:

3A + 6S = $48

We have two equations and 2 unknowns.  Use elimination to find the price of one and then that will tell us the price of the other.  I'll choose to eliminate the A:

5A + 7S = $71

3A + 6S = $48

We can do the elimination in one of 2 ways:

1)  Solve one of the equations for A or S, and substitute it in the other:

3A + 6S = $48

3A  = $48 - 6S

A  = ($48 - 6S)/3

Now use this definition of A in the first equation:

5A + 7S = $71

5(($48 - 6S)/3) + 7S = $71

5(($48 - 6S)/3) + 7S = $71

$80 - 10S + 7S = $71

-3S = - 9

S = $3

Now we can find A:

5A + 7S = $71

5A + 7(3) = $71

5A + 21 = $71

A = $10

======

2)  We could also modify one of the equations and then subtract to eliminate a variable:

5A + 7S = $71

3A + 6S = $48

Let's multiply the second equation by -(5/3):

-(5/3)*(3A + 6S = $48)

-5A - 10S = -90

Now add this to the first equation:

5A + 7S = $71

-5A - 10S = -80

  - 3S = - 9

S = $3 and therefore A = $10

Can someone plz help with this

Answers

Answer:

hexagonal prism

Does this table represent a function or not? Why or why not?

Answers

Answer:

D. No, because two of the y-values are the same

Step-by-step explanation:

The y values cannot be the same

Answer:C

Step-by-step explanation:

Hallar el área lateral de un cilindro que tiene de radio de la base 10 cm y de altura 5 cm.

Answers

Answer:

942.48

Step-by-step explanation:

f(x)=3/5x-4/3 What x value makes f(x)=0
(will give brainliest to whoever answers first)

Answers

Answer:

3

Step-by-step explanation:

Question 3
Find the Slope.
(2,8) and (4, -3)

Answers

Answer:

5.5

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

plugging your values in, you get 8-(-3)/ 4-2

which is 11/2

11 divided by 2 is 5.5, so that is your slope

Answer:

5.5

Step-by-step explanation:

because the explanation above

An equation is shown below:

4(x − 3) − 5(x + 1) = 3

Which statement shows a correct next step in solving the equation? (1 point)

Group of answer choices

The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.

The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.

The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Answers

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

4(x − 3) − 5(x + 1) = 3

The first thing would be distribute the 4 and the 5 respectively

4x-12 -5x-5 =3

What is the solution to -4(8 - 3x) >_6x -8?

O x >_-4/3
O x<_-4/3
O x>_4
Ox<_4

Answers

The answer is x greater than or equal to 4
First I distributed the -4
Then I isolated all of the x on one side
Then I divided everything by 6 to get the value (greater than or equal to) of one x
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