Solve the system of equations algebraically.

3x−6y=−15
−9x+12y=21

Answers

Answer 1

Answer:

(3x-9x)+12y-6y=21-15

-6x+6y=6.

I think that is the answer

Answer 2

Answer:

(3, 4)

Step-by-step explanation:

Solve the system by elimination.

Divide the second equation by 3 and add to fist equation:

3x - 6y - 9x/3 + 12y/3 = -15 + 21/33x - 3x - 6y + 4y = -15 + 7-2y = - 8y = -8/-2y = 4

Find the value of x:

3x - 6*4 = - 153x - 24 = - 153x = 24 - 153x = 9x = 3


Related Questions

What is the principal amount if the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?

Answers

The principal amount if the interest rate is 3.5% a year is equal to $3000.

Given the following data:

Interest rate = 3.5%Simple interest = $183.75Time = 21 months

Conversion:

12 months = 1 year

21 months = 1.75 year

To calculate the principal amount if the interest rate is 3.5% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]

Principal amount, P = $3000

Read more: https://brainly.com/question/22621039

if AB=12 cm and BC =13 cm then AC = 25 cm

Answers

Answer:

AB=12

Hope this helps!

let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?

Answers

The value of P - Q as described in the question above is; P -Q = 2.

According to the question;

P = number of primes less than 100Q = number of primes less than 90

Since, we are required to determine what the value of P-Q is;

The value of P-Q is simply the number of primes between 90 and 100.

The prime numbers between 90 and 100 are; 91 and 97.

Therefore, P - Q = 2.

Read more;

https://brainly.com/question/22257959

1. Suppose that in the population of American college students the average number of alcoholic drinks consumed per week is 22. What is the probability of randomly selecting a sample (n = 30) with a mean of 24 and a standard deviation of 5? (Hint: Tell me the two probabilities it will be between using a 2-tailed value)

Answers

ANSWER

im not sure on the full awnser.

Nate biked 54 miles in 4 1/2 hours. What was Nate’s average speed in miles per hour.

Answers

Answer:

12mph

Step-by-step explanation:

You must divide the 54 miles by the 4 1/2 hours which will give you 12mph

Due Tomorrow: answer question 4 with steps

Answers

Answer:

Step-by-step explanation:

Question 4

we have two sides and an angle so we should use law of cosines to solve for c

[tex]7=\sqrt{5^2+c^2-2*5*c*cos(35)}\\\\49=25+c^2-10*c*cos(35)\\25=c^2-8.19152044289c\\c^2-8.19152044289-25=0\\[/tex]

(using the quadratic formula)

c=10.48131

To solve for b use the law of cosines again

[tex]5=\sqrt{7^2+10.48131^2-2*7*10.48131*cos(B)\\[/tex]

B=24.1858343432

Write an equation of a line with an x-coefficient of - 3 and a y-intercept of 7

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the coefficient of x, and b is the y intercept.

Name the property of addition illustrated.

[3+(-8)] + 9 = 3+(- 8+9)

Answers

Answer:

Associative property

Step-by-step explanation:

The associative property states that, in addition, pairs of parentheses can be moved without changing the value of the expression. This means that (a+b)+c=a+(b+c). That same rule can be seen in the equation above because the parentheses move from the first 2 terms to the 3rd and 4th terms. Either way, both sides of the equation remain equal.

Jon wants to earn at least $75,000 a year and live in a posh urban setting. James’s career plan includes earnings of $35,000 a year and simple, cheap living conditions. Whose lifestyle expectations are better?

Both are equally valid, they just have different preferences.

James’s, because he has more realistic expectations.

Jon’s, because he will have a higher quality of life

It depends on their career goals and family plans.

Answers

Answer:

Jon’s, because he will have a higher quality of life

Step-by-step explanation:

James wants to live in a cheap living condition so his quility is going to be worse. John wants to live in a posh urban setting and posh urban is higher quility than cheap living condition. So the anwser is C.

Answer:

Step-by-step explanation:

James

74%, 3/4, 0.76 on a number line

Answers

Answer:

Step-by-step explanation:

you just graph it

Pls due now I will give brainliest if right

Answers

Answer:

(-2,1)

Step-by-step explanation:

i graphed it ..its right

Answer: Choice A

Explanation:

The graph is shown below.

The line y = 2x+5 goes through (0,5) and (1,7).

The line y = (1/2)x+2 goes through (0,2) and (2,3)

The two lines intersect at exactly (-2, 1) which is the solution to the system.

Given the system of equations presented here:

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.

Answers

Answer:

yep its D

Step-by-step explanation:

Answer:

D     Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4


STRUCTURE Tell whether the triangles are similar.

Answers

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

Only answer this if you know the answer.

Find The nth Term of this number sequence
18, 16, 14, 12

Answers

Answer:

2

Step-by-step explanation:

18,16,14,12,10,8,6,4,2

Pls mark me Brainly
Annswer:
2

find the length of fencing required to go all the way around the rectangular field that is 136000mm wide and 425m long

Answers

the answer is 57800m^2

name the parts mentioned in the figure below

please answer this


Answers

Answer:

O - point

CD- chord

AB- diametre

I dont know PO sorry

Answer:

O is the center.

AB is the diameter.

OP is a radius.

CD is a tangent.

By the way the combination of letters is the two points that it relates too.

Step-by-step explanation:

hope this helps. . .<3

.Evaluate the radical expression 256−−−√4. Enter your answer as a whole number, like this: 42

Answers

Answer:

254

Step-by-step explanation:

First get the square root of 4 and that is 2. Then minus it in 256 and you will get 254.

Hope it can help you lovelots

The solution to the radical expression 256-√4 will be 254.

What is a radical expression?

An expression with the radical (√) symbol is referred to as a radical expression in mathematics. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given radical expression will be solved as below:-

256-√4 = 256 - 2

             = 254

Therefore, the solution to the radical expression 256-√4 will be 254.

To know more about radical expression follow

https://brainly.com/question/1601861

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Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)

Answers

The three coins could land any these 8 ways:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

P(3 heads) = 1 way out of 8  or 1/8

P(2 heads) = 3 ways out of 8 or 3/8

P(1 head) = 3 ways out of 8 or 3/8

P(0 heads) = 1 way out of 8 or 1/8

x=Winnings  P(x)  E(x)=x�P(x)

    $3      1/8      $.375

    $2      3/8      $.75

    $1      3/8      $.375

  -$10      1/8     -$1.25

---------------------------

Total expectation =   $ .25

what is the best estimate of 97/7 and 1 3/4

Answers

Answer:

next question nexy question

Use an equation to find the value of k so that the line that passes through the given points has the given slope.

(−4,k), (6,−7); m=−15

Answers

Answer:

Step-by-step explanation:

(-7 - k)/(6 + 4) = -15

(-7 - k)/10 = -15

-7 -k = -150

-k = -143

k = 143

John drives from home to his
parents house and then to a
cafe. His parents house is 13
miles south of his home and
the cafe is 6 miles east of his
parents house. What is the
distance, in miles, between his
home and the cafe SHOW YOUR WORK

Answers

Answer:

13=6 and no

Step-by-step explanation:

Answer:

The distance is 19 miles

Step-by-step explanation:

I know that because you have to add how many he drove to his parents and the amount of miles driven to the cafe and then it will give the total amount driven.

Uhm is this a function?

Answers

Yea because every input has only one output

Answer:

yes it is

Step-by-step explanation:

11 more than a number is equal to 48

Answers

11+x=48

x=48-11

x= 37

[tex] &#128536; \: &#128521; \: &#128520; \; &#128555; \: &#128548; \: &#128545; \: &#128536;[/tex]

Question 11 (5 points)
22
Find the volume of the solid. Use
7
for II.
5 cm
1 cm
6 cm

Answers

Answer:

Volume of solid = 5 cm *  1 cm  * 6 cm = 30 cm³

Step-by-step explanation:

The formula for volume of solid = Length * Width * Height

Here are two line segments with lengths e and f. Calculate the exact values of e and f. Which is larger? Use the Pythagorean Theorem: a^2 + b^2 = c^2

Answers

Just plug in the values, isolate the variables, then take the square root of the value

a store pays $26 for a lamp. The store marks up the price by 40%. What is the amount of the markup

Answers

Answer:

$10.4

Step-by-step explanation:

mark me brainliest if u are kind

Five tickets numbered 1, 2, 3, 4, and 5 are placed in a box, and three are selected at random. Determine the probability of obtaining a 1 or a 2 or both.

Answers

Answer:

the probability is 1 and 2

the area of a square is 36 centimeters. how long is each side of the square?

Answers

Answer:

6cm

Step-by-step explanation:

square root of 36 because the area of a square is base x height and a square has equal sides

Terrence has 100 points out of 200 possible points in his Geometry class.
A. Determine his grade as a percentage and letter grade. Explain how you determined this.
B. Calculate how many more points Terrence needs to be passing. Explain how you calculated this.​

Answers

Answer:

A. Letter Grade: F

    Percentage: 50%

    100 is half of 200

B. 20 more points

Step-by-step explanation:

A. 100 is half of 200, and 50% is half of 100%.

B. 60% is a D, but it is still passing. Sine 200=100 x 2, we need to multiply    60 x 2. 60 x 2=120

right answers only plz and thank you

Answers

Answer:

letter A

Step-by-step explanation:

3x=0

x=0

x-2=0

x=2

2x+7=0

2x=-7

x=-7/2

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