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

Help ASAP please Ahhhhh

Answers

Answer:its A

Step-by-step explanation:

Answer:

Your answer would be A. Your welcome


Lucy uses a code to open a lock.
The code is a letter followed by a 2-digit number.
The letter is L or U.
The number is a prime number between 20 and 30
Write down all the possibilities for Lucy's code.

Answers

Answer:

L23

L29

U23

U29

Step-by-step explanation:

We have two elements for the code:

Letter: The options are L and U.

Number: A prime number between 20 and 30, the options here are:

23, 29 (These are the only two prime numbers between 20 and 30)

Then the possible combinations are:

L23

L29

U23

U29

I WILL GIVE BRIANLIEST!!!!!!!!

Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.

Answers

Answer: This might be a little too late but I believe the answer is 2; distance increases by 2 miles per hour. I hope you have a great day and good luck!

You have purchased a 30-pound case of lemons that has a count size of 96. About how many ounces would each lemon weigh?

Answers

Answer:

I think it would be 3.2 ounces because 96 divided by 30 is 3.2

Step-by-step explanation:

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

Answers

Answer:

20%

Step-by-step explanation:

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

The Percentage of the down payment is given as:

Down payment/Cost of the house × 100

Down payment = $25,000

Cost of the house = $125,000

$25,000/$125,000 × 100

= 20%

The percentage is 20%

factorise 343m^3 + 27n^3​

Answers

answer:m3+27n3

Step-by-step explanation:

Rewrite

27

n

3

as

(

3

n

)

3

.

m

3

+

(

3

n

)

3

Since both terms are perfect cubes, factor using the sum of cubes formula,

a

3

+

b

3

=

(

a

+

b

)

(

a

2

a

b

+

b

2

)

where

a

=

m

and

b

=

3

n

.

Hope it helps ☺️☺️☺️

Find the area...
HURRY!!!!!

Answers

Answer: 38

Step-by-step explanation:

17.) An ostrich can run 174 feet in 3 seconds. What is the slope of the line and what does it
represent?

Answers

The slope of the line is positive. The slope of the line is 58. The ostrich can run 58 feet per second.

Q1 - Understanding simultaneous equations
Solve these simultaneous equations.
4 pillows and 5 quilts cost $57
9 pillows and 5 quilts cost $72
Find the cost of one of each.
4p + 59 = 57
9p + 59 = 72
P =
and q =
3 apple pies and 5 banoffee cost $28
3 apple pies and 7 banoffee cost $38
Find the cost of one of each.
3a + 5b = 28
3a + 2b = 38
a =
C
and b =
6 mugs and 3 plates cost $21
3 mugs and 3 plates cost $15
Write down and solve simultaneous
equations (m is the cost of a mug and
p is the cost of a plate, in $).
cal
m =
and p =
[
0

Answers

p and q are the numbers of pillows and quilts, respectively.
4p+5q = 57
9p+5q = 72

Subtract the second equation from the first equation.

4p+5q = 57
-9p-5q = -72
——————
-5p = -15

p = 3

4(3)+5q = 57
5q = 57-12 = 45
q = 9

A pillow costs $3. A quilt costs $9.

In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

sinS = 9/41 ≅ 0.22°

whats does espanol mean

Answers

I believe it means Spanish.

Answer:

Spanish.

Step-by-step explanation:

It is the language Spanish but the word is in spanish hahahahahah.

Subtract 4x2 – 7x +6 from 2x2 – 5x – 4. Express as a trinomial

Answers

Answer: -2x²+2x-10

Step-by-step explanation:

Rephrase the expression

Subtract 4x²-7x+6 from 2x²-5x-4

(2x²-5x-4)-(4x²-7x+6)

Expand parenthesis

2x²-5x-4-4x²+7x-6

Put like terms together

(2x²-4x²)+(7x-5x)-(4+6)

Combine like terms

-2x²+2x-10

Hope this helps!! :)

Please let me know if you have any questions

I need help..........​

Answers

Answer:

[C] 3 ⅔

Explanation:

5 ⅓ - 1 ⅔

= 3 ⅔

how many solutions does 4x+1=3x+2

one solution
no solution
infinitely many solutions ​

Answers

One solution hope this helps :)

Answer:

one solution

Step-by-step explanation:

If you simplify the equation, it becomes 1x+1=2. Then you subtract the 1 from 2 and get 1x=1. Therefore, x=1 which is ONE SOLUTION.

Solve for x

5/6 = x/4

Answers

Answer:

hi

Step-by-step explanation:

hi

Answer:

it would be x= 10/3

Step-by-step explanation: If this answer is incorrect my apologies.

GOOD AT MATH!! PLEASE HELPPP

Answers

Square root of 13^2 - 12^2 = 5

Answer:

B. 5

Step-by-step explanation:

Use the pythagorean theorem to solve: [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex].

[tex]a^{2}[/tex]+[tex]12^{2}[/tex]=[tex]13^{2}[/tex]

[tex]a^{2}[/tex]+144=169

Subtract 144 from 169.

[tex]a^{2}[/tex]-144=169-144

[tex]a^{2}[/tex]=25

Square root to get a.

[tex]\sqrt{a}[/tex]=[tex]\sqrt{25}[/tex]

a= 5

A leaf fell into a river and traveled 140 meters in 4 minutes
How many meters did the leaf travel per minute?

Answers

Answer:

35 meters per minute

Step-by-step explanation:

140 meters/4 minutes = 35 meters/minute

Answer:

35 meters per minute

Step-by-step explanation:

140÷4=35

35 meters per minute

please I am struggling really bad help me

Answers

A I’m pretty sure that’s the answer

Solve the equation

x+4=3(3x-4)

Answers

Answer:

x = 2

Step-by-step explanation:

x+4=3(3x-4) the answer is

Nine friends share 8 bags of trail mix equally.what fraction of a bag of trail mix does each friend get?

Answers

Answer:

By doing 3 divided by 5, you will get 3/5 of trail mix per person.

Step-by-step explanation:

The fraction of a bag of trail mix each friend gets will be 8/9.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Nine friends share 8 bags of trail mix equally.

Then the fraction of a bag of trail mix each friend gets will be given by the division of the number 8 by 9. Then the fraction is given as,

⇒ 8 / 9

The fraction of a bag of trail mix each friend gets will be 8/9.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?

Answers

Answer:

hello

Step-by-step explanation:

The original price i 1 dollar

Sally is 4 years older than Brody. Evelyn is 3 times older than Brody. If Brody's age is represented by x, create an expression that represents the total age of all three people.
A.4x+4
B. 5x
C.5x+4
D.7x

Answers

Answer:

Its C. 5x +4

Step-by-step explanation:

The expression that represents the total age of all three people is f(x) = 5x + 4.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Sally who is 4 years older than Brody. Evelyn is 3 times older than Brody.

Assume that Brody's age is represented by [x]. Then, the age of Evelyn will be (3x) and the age of Sally would be (x + 4). The expression that represents the total age of all three people is -

f(x) = x + (x + 4) + 3x = 5x + 4

f(x) = 5x + 4

Therefore, the expression that represents the total age of all three people is f(x) = 5x + 4.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ6

for the pairs below put each question in slope intercept form and whether the graphs of the line will be identical, parallel, or intersecting, Also determine how many solutions the system of equations will have​

Answers

3: rearrange the 2nd equation so y is isolated, add 3x to both sides
Both equations are now y = 3x + 2. So they are identical, and therefore have infinite solutions since solution means how many times do these lines meet/overlap.

4: rewrite left-right and the equations are now:
y = -x
y = -x -2
Same slope but different intercept (b value), so they are parallel and NEVER meet (NO SOLUTIONS)

5. Rearrange:
y = -x + 4
y = x + 4

So they have different SLOPES in this example (m value). This means they are not parallel or identical, so they can only cross once (one solution)

6: rearrange both
y = 3x - 1
y = 3x + 1
Same slope (m=3), different intercepts (b= 1 and -1). Same slope means parallel, different b means different intercepts so they are NOT identical. Since parallel lines can not cross, there are no solutions

7: y = 2x + 4
y = 2x - 4
Same slope (m=2), different b values (y-intercepts are 4 and -4), so parallel but not identical, no solution

The segments in each figure are tangent to the circle at the points shown.
Find each length.

Answers

9514 1404 393

Answer:

  RS = RT = 2

Step-by-step explanation:

The two tangents from a point are the same length.

  RS = RT

  y = y^2/2

  y^2/2 -y = 0

  y(y/2 -1) = 0 . . . . factor out y

Values of y that make these factors zero are ...

  y = 0 . . . . . . . . true if points R, S, T are coincident on the circle

  y/2 -1 = 0   ⇒   y = 2

Then the segment lengths are ...

  RS = RT = 2

which of the following represents a function of protein within a organism ?


A.storing genetic information
B.storing energy
C.generating heat
D.fighting infection​

Answers

Answer:

A

Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT

if one burger cost $60 what will 15 burgers cost​

Answers

Answer:

60 • 15 = $900

Step-by-step explanation:

jsjsjjsjjs

PLease HELLLPPPPP I NEED HELP

Answers

Answer: I don’t know...... sorry

Step-by-step explanation:

The LSA of square based pyramid with equal edges is 144 square root 3. Find the area of base ?

Answers

a2=LSA/3–√=144

a a a a a a a a a a a a a

Point VV is located at (-5,3)(−5,3) on the coordinate plane. Point VV is reflected over the yy-axis to create point V'V ′ . Point V'V ′ is then reflected over the xx-axis to create point V''V ′′ . What ordered pair describes the location of V''?V ′′ ?

Answers

Given:

Point V is located at (-5,3) on the coordinate plane.

It is reflected over the y-axis to create point V'.

Point V' is then reflected over the x-axis to create point V''.

To find:

The location of point V''.

Solution:

We have,

Point V= (-5,3)

If point V reflected over the y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]V(-5,3)\to V'(5,3)[/tex]

If point V' reflected over the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]V'(5,3)\to V''(5,-3)[/tex]

Therefore, the ordered pair (5,-3) describes the location of V''.

Answer:

5,3

Step-by-step explanation:

Point VV is located at (-4,6)(−4,6) on the coordinate plane. Point VV is reflected over the xx-axis to create point V'V

. What ordered pair describes the location of V'?V

?

Two supplementary angles that are 4x and 5x what is the value of x

Answers

Answer:

x = 20

Step-by-step explanation:

4x + 5x = 9x

9x = 180 (supplementary angles add up to 180 degrees)

Divide 180/9 = 20

Answer:

x = 20.

Step-by-step explanation:

Supplementary angles sum to 180, so:

4x + 5x = 180

9x =  180

x = 20.

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