Solve using the substitution method. 3x +2y= 19 xy= 15​

Answers

Answer 1

Answer:

when x = 3 1/3, y = 4.5

or

when x =3 , y = 5

Step-by-step explanation:

Here, we want to solve using substitution

xy = 15

let x = 15/y

Put this into the first equation;

3(15/y) + 2y = 19

45/y + 2y = 19

Multiply through by y

45 + 2y^2 = 19y

2y^2 -19y + 45 = 0

2y^2 - 10y - 9y + 45 = 0

2y(y-5) -9(y-5) = 0

(2y-9)(y-5) = 0

2y-9 = 0

or y-5 = 0

2y = 9 or y = 5

y = 9/2 or y = 5

y = 4.5 or y = 5

Recall;

x = 15/y

x = 15/4.5 or x = 15/5

x = 3 1/3 or x = 3


Related Questions

You want to purchase multiple books on sale for $6.30. The sales tax is 5% and you have $20. At most, how many books can you buy?

Answers

Answer:

3 books

Step-by-step explanation:

Assume x is the number of books you could buy.

(1+0.05)(6.3x) ≤ 20

1.05(6.3x) ≤ 20

6.615x ≤ 20

x ≤ 3.02

Answer:

the awnser is 3 books yiu can buy

Find the slope of the line that goes through (3,5) and (9,-2).

Answers

Answer:

-7/6

Step-by-step explanation:

the slope is change in y/change in x:

-2-5/9-3 = -7/6

The answer above me is right

Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?

Answers

Given:

Mark took 2 hours to make a jacket.

The jacket was made up of 50 kilograms of wool.

To find:

The time in which Mark use 500 kilograms of wool for the jackets.

Solution:

We have,

1 jacket take 2 hours.

Number of jackets in 50 kg of wool = 1

Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]

Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]

                                                              = [tex]10[/tex] Jackets

Time taken by 1 jacket = 2 hours

Time taken by 10 jacket = 20 hours

Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.

Answer:

20 hours

Step-by-step explanation:

1 jacket=50kg wool

1 jacket= 2hrs

500kg available/50kg per jacket= 10 jackets

10 jackets x 2hrs per jacket=20hrs

milk truck delivers 376 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n​, the number of gallons of milk the milk truck delivers in 1 day. pls help!

Answers

Answer:

376*12=n

My logic:

there are 12 items in a dozen. so 376 dozens times 12 will result in the total milk delivered in a day.

PLEASE HELP EASY MATHHH EASY 10 POINTS

Answers

Answer:

y = -x + 7

Step-by-step explanation:

owa owa

Answer:x+6y=5

4x−5+y=0

3x+y=16

Step-by-step explanation:

Have a great day! <3

¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?​

Answers

se necesitan 8 envases

denada

What is the area of the composite shape?

Answers

Answer:

I believe it is 76 ft squared but I am not positive..

Hdushshshsbabshdjdjc

Please do number 19 for me.

Answers

angles in triangle add to 180 degrees
20x=180
x=9
Angle ABC is the top one
8x9=72

Answer:

[tex]x = 9[/tex]

[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]

[tex]plzz \: \: mark \: as \: brainliest[/tex]

(HELP FAST PLEASE)
Three identical cell phones weigh 18.7 ounces. What is the combined weight of two cell phones that are also identical to the three cell phones mentioned in the first sentence?

Answers

Answer:

Two of them, actually.) ... It weighs 4.87 ounces — less than a third of a pound. ... In the photo shown above, Philip Shenon, a Times reporter, sits with ... Phil and I carried the satphone from Frankfurt — it was housed in two 65-pound suitcases. ... Modern mobile satellite data units weigh a total of about three

Step-by-step explanation:

thats all i know

What property must be used when solving each step of a one variable linear equation?

Answers

add, subtract, multiply, or divide an equation by a number or an expression as long as we do the same thing to both sides of the equal sign. ...

Apply the distributive property as needed:

Isolate the variable on one side of the equation.

Step-by-step explanation:

6 mi Find the volume for the shape above. Use 3.14 for pi. Round to the nearest whole number.​

Answers

Answer:

Step-by-step explanation: does anyone know? I really need this

What is the answer????please helpp

Answers

that answer is (0,0)

PLEASE HELP ME :(

Brain has two rectangular sheets of paper.
-The length of the larger sheet is 1 1/2 times the length of the smaller sheet.
-The width of the larger sheet is 1 3/5 times the width of the smaller sheet.
By what factor is the area of the larger sheet greater than the area of the smaller sheet?

Answers

Answer:

2.4

Step-by-step explanation:

Smaller sheet length = 10u

Smaller sheet width = 10u

Smaller sheet area = 10u * 10u = 100u^2

Larger sheet length = 1.5 * 10u = 15u

Larger sheet width = 1.6 * 10u = 16u

Larger sheet area = 16u * 15u = 240u^2

240u^2 / 100u^2 = 2.4

The factor when the area of the larger sheet greater than the area of the smaller sheet should be considered as the 2.4.

Calculation of the factor:

Since

Smaller sheet length = 10u

Smaller sheet width = 10u

Now

Smaller sheet area = 10u (10u) = [tex]100u^2[/tex]

And,

Larger sheet length = 1.5 ( 10u) = 15u

And,

Larger sheet width = 1.6 (10u) = 16u

So,

Larger sheet area = 16u (15u) = [tex]240u^2[/tex]

Now

[tex]= 240u^2 \div 100u^2[/tex]

= 2.4

hence, The factor when the area of the larger sheet greater than the area of the smaller sheet should be considered as the 2.4.

Learn more about an area here; https://brainly.com/question/17870032

Simon set up his tent in his backyard last night. His tent is 6 feet tall. To secure it to the ground, he attached a rope from the top of the tent to the ground 8 feet away from the bottom of the tent as shown below. How many feet long, R, is the rope?

Answers

Length of Simon's tent = 6 feet

Distance from the bottom of the tent to the tent's base = 8 feet

Let the length of rope be R.

The tent and the rope forms a right angle triangle where the rope is the hypotenuse.

We know that :

[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]

Which means :

[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]

[tex] =\tt {R}^{2} = 36 + 64[/tex]

[tex] = \tt {R}^{2} = 100[/tex]

[tex] =\tt R = \sqrt{100} [/tex]

[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]

Thus, the hypotenuse of this triangle = 10 feet

▪︎Therefore, the length of the rope = 10 feet

what is the answer?136,88,or 44?

Answers

Answer:

136

Step-by-step explanation:

Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?

Answers

Answer:

The top three that are first :)

Step-by-step explanation:

I NEED HELP PLZ MY SMART PPL

Answers

Answer:

its 60

Step-by-step explanation:

if its right caan i get a brainliest

Answer:

60

Step-by-step explanation:

To get the area of a right triangle (a triangle with an angle of 90 [represented by the box in the corner]) you have the formula of

Area = (a*b) divided by 2

a = one side of the triangle

b = another side of the triangle

Neither side are the hypotenuse.

What is the range of the data set below?
25, 24, 24, 24, 33

Answers

Answer:

9

Step-by-step explanation:

the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.

So u just subtract 24 from 33:

33 – 24 = 9

and that's your range! hope this helps!

You find range by subtracting the largest sum from the smallest sum so your answer would be 33-24=9
Answer 9

what is 1+1= ? and how do you do it? also what is the pendas mean?

Answers

Answer:

2,  PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction.

Step-by-step explanation:

Can someone help please??

If 3x−y=12, what is the value of
8x/2y ?

A) 2 to the 12th power
B) 4 to the 4th power
C) 8 to the 2nd power
D) The value cannot be determined from the information given.

Answers

Answer:

A) 2 to the 12th power

Step-by-step explanation:

[tex] \frac{8x}{2y} = \: \frac{ {2}^{3x} }{2y} = {2}^{12} [/tex]

10 points !!

Which expression is equivalent to this polynomial x^2+12

Answers

Answer:

expand x^2+12 --> results in A

Simplify the expression using properties of operations.

18t−3−5t+8

Answers

Answer:

13t+5

Step-by-step explanation:

Im a bit stuck on this problem

Answers

Answer:

f I I tough luck if it's if I've if it's if you've paid down let of us if just it ubos skits enough of others

Step-by-step explanation:

digital shall will also sorry soap sorry s goo form enough wish all so do all kelan kaso kaka kalakalorry root sorry for

4
What is the result of 2-10?
.
1
5

Answers

Answer:

-3.14530027393739338363829263839

-Step-by-step explanation:

After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?

Answers

Search up 0.60 x 312= 187.2, 187.2 + 312 = 499.2

Please help
How can you describe the graph of the equation y= mx + b? Explain

Answers

Answer:

mx is the slope. b is the y-intercept

Step-by-step explanation:

the first thing you should always do is identify your slope this is key for graphing. remember your slope is b so what ever b is you locate that point in the x axis.

then whatever your slope is remember that it is rise over run so say your equation is y=3x+5 you plot the point on the y intercept which is 5. now 3x is your slope so you put it as a fraction to make it easier this is what it looks like in a fraction "3/1" so you go up 3 on the graph and over 1 because of rise/run

Please I Need Help

I'm stuck on this question ⁉️

Answers

Answer:

greater than

Step-by-step explanation:

Please forgive me if wrong

Pleaseee I need help it’s a major grade

Answers

Answer: D.

Step-by-step explanation:

48/2.15= d, so 2.15d=48

HELO PLS DUE IN 40 MINS

In the diagram below, it is given that point Ris the midpoint of PQ. Which of the following can be concluded
based on this given?

Answers

Answer:

Sheesh good luck

Step-by-step explanation:

.........

Answer:

3

Step-by-step explanation:

MN is not equal to NR, because MN is too long

It doesn't tell us R is the midpoint of MN, so for all we know MR and RN are completely different measurements.

PR and QR must be equivalent if R is the midpoint of the two.

Which angle is an exterior angle?

Answers

Answer:

I presume that i° would be the exterior angle for this question.

Step-by-step explanation:

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