solve the system equation
x-2y=27
y=5x

A (-4,-20)
B (3,25)
C (-3,-16)
D (-3,-15)​

Answers

Answer 1
Answer:

We will use substitution to solve this system for x.

[tex]x - 2y = 27\\y = 5x\\\\x - 2(5x) = 27\\\\x - 10x = 27\\\\-9x = 27\\\\x = -3[/tex]

Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.

[tex]-3 - 2y = 27\\\\-2y = 30\\\\y = -15\\[/tex]

We now have our solution.

D. [tex](-3, -15)[/tex]

We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.

[tex]-3 - 2(-15) = 27\\\\-3 + 30 = 27\\\\27 = 27[/tex]

Since the equation checks out, our solution is correct.


Related Questions

Can someone please explain I’ll mark brainlest

Answers

Answer:

TriangleJXP = Triangle HCD

Side XJ = side HC

Side CD = side JP

Side PX = HD

Step-by-step explanation:

Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.

So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.

Hope this helps.

I will mark you brainiest if you help me thanks

Answers

Answer:

a. 121

b. 32100

c. 0.2

d. 400

Step-by-step explanation:

a. Quick disclaimer: If there's a decimal point on the divisor, in this case it would be .05, you have to move the decimal point until it has no decimal, in this case .05 would become 5.0 or just 5. The other number also has to have it's decimal point moved as much as the divisor, in this case two times, so it would be from 6.05 to 605. So with this in mind: 605/5 = 121

b. 96.3/.003 = 96300/3 = 32100

c. 0.12/0.6 = 1.2/6 = 0.2

d. 3.2/.008 = 3200/8 = 400

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

1, –5, 25, –125, ...
2, 10, 50, 250, ...
3, –2, –7, –12, ...
4, 9, 14, 19, ...

Answers

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Answer: Choice (3) which is the sequence –2, –7, –12, ...

Here we start with -2 and subtract off 5 each time we need a new term

-2-5 = -7

-7-5 = -12

and so on.

The notation f(n+1) = f(n) - 5 tells us "subtract 5 from the nth term, called f(n), to get the next term f(n+1)"

in a company, 55% of the workers are menIf 2,385 people work for the company who aren't menhow many workers are there in all? Use pencil and paper. Show different ways that you can solve this problem

Answers

Step-by-step explanation:

2385 arent men (45%)

55% are men

how many total person:

2385/45: 53 people for each 1%

53x100:5300 total people

Stan made changes to
his driving habits and
went from 18 mpg to
22 mpg. What was
Stan's percent
increase in his gas
mileage?

Answers

Answer:

22%

Step-by-step explanation:

Sove the equation for all real solutions
-d^2-12d+4=-6d^2​

Answers

Answer:

d=25 or d=2

Step-by-step explanation:

hope that helps!

Answer:

d=2/5 or d=2

Step-by-step explanation:

Step 1: Subtract -6d^2 from both sides.

−d2−12d+4−−6d2=−6d2−−6d2

5d2−12d+4=0

Step 2: Factor left side of equation.

(5d−2)(d−2)=0

Step 3: Set factors equal to 0.

5d−2=0 or d−2=0

d= 2/5 or d=2

The ratio of girls to boys is this great is 6 to 8 is there are 120 girls how many boys are there

Answers

Answer:

160

Step-by-step explanation:

if girls is 6 and boys is 8

and there are 120 girls

120g= 6g * 20

meaning you multiply 8 by the same thing

160= 8b * 20

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( >3<) - there

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I just need a run down on how to find a linear equation from two points I'll give Brainiest

Answers

Given the graph of a line, you can determine the equation in two ways, using slope-intercept form, y=mx+b y = m x + b , or point-slope form, y−y1= m(x−x1) y − y 1 = m ( x − x 1 ) . The slope and one point on the line is all that is needed to write the equation of a line.


Write the equation of the line in slope intercept form.*

Answers

Answer:

y=-4(x+1)+3

Step-by-step explanation:

work in in the picture

why are radioactive isotopes not useful for dating sedimentary rocks?

Answers

Sedimentary rocks can be dated using radioactive carbon, but because carbon decays relatively quickly, this only works for rocks younger than about 50 thousand years. So in order to date most older fossils, scientists look for layers of igneous rock or volcanic ash above and below the fossil.

Answer:

Sedimentary rocks can be dated using radioactive carbon, but because carbon decays relatively quickly, this only works for rocks younger than about 50 thousand years. So in order to date most older fossils, scientists look for layers of igneous rock or volcanic ash above and below the fossil. can u mark mr brailest

Step-by-step explanation:

PLS HELP ILL MARK BRAINLIEST

Answers

Answer:

8 and 6

Step-by-step explanation:

8x6=48

2(8+6)=28

2(14)=28

Find the first three terms of the sequence below.
T, = n2 + 2n +9

Answers

Answer:

12, 17, 24

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the rule, that is

T₁ = 1² + 2(1) + 9 = 1 + 2 + 9 = 12

T₂ = 2² + 2(2) + 9 = 4 + 4 + 9 = 17

T₃ = 3² + 2(3) + 9 = 9 + 6 + 9 = 24

Answer:

12, 17, 21 is the answer to the question

PLease HELPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

5x, -2x, x

Step-by-step explanation:

Like terms have the same variable parts.

The variable part of 3x is x.

Any term that has only x as its variable part is a like term to 3x.

Answer: 5x, -2x, x

Use the following Coordinate plane to write the ordered pair for each point!
A (,)
B (,)
C (,)

Answers

Answer:

A (0.5,4)

B (-3,0)

C (-1,1)

Step-by-step explanation:

A-(0.5,4) B-(-3,0) C-(-1,1)

Level 1 Enter the correct 4 digit code (no spaces)

Answers

Answer:

2341

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The correct 4-digit code is 4321.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the picture.

We have to see the line from A, B, C, and D that touches the numbers given.

Now,

A touches the number 4

B touches the number 3

C touches the number 2

D touches the number 1

The 4-digit number must be written in the sequence of ABCD.

So,

4321 is our four-digit number.

Thus,

The correct 4-digit code is 4321.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

3. Given the equation y = -3x + 6, what is the slope of the line? And what is y intercept?

Answers

Answer:

The slope of the line is 3 and the y intercept is 6

Step-by-step explanation:

Trust me

HEY RYAN QUESTIONS COMING SOON!!!!!!!!

Answers

Answer:

AHHHHH U TELL ME AT THE WORST TIMES HOMIE IMMA TRY THO

Which of the following equations have infinitely many solutions

Answers

Answer:

All options

Step-by-step explanation:

In each option, the left and right side of the equation are identical, meaning whatever values that [tex]x[/tex] take will result in the left and right side of the equation to be equal. This means that the equation will have infinitely many solutions.

Hope this helps :)

Which first step for solving the given system using substitution results in an equation without fractions?

Answers

The correct answer is solve for y in the second equation.

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.

Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. In total, she spent less than $10. The inequality relating the purchases she made and the total purchase price is 1.10x + 2.50y < 10. Which are reasonable solutions for this situation? Check all that apply. (–1, 4) (0, 2) (3, 2.5) (2, 4) (0.5, 3.78) (1.5, 3)

Answers

Answer:

(0,2) (1.5,3) B and F

Step-by-step explanation:

Your welcome loves

Answer:

B And F

Step-by-step explanation:

2/3 of all your books are fiction. 1/6 of those are historical fiction.

What fraction of all your books are historical fiction?
A.1/9
B.1/18
C.1/3
D.1/2

Answers

Answer:

1//18

Step-by-step explanation:

2/3 * 1/6= 1/18

You first do 2*1

Then 3*6

Answer: A. 1/9

Step-by-step explanation:

to find what fraction of all your books is historical fiction, you would multiply how the fraction of all your books that are fiction by the fraction of fictional books that are historical fiction.

this gives you 2/3 times 1/6.

from there you simply multiply the numerators (2x1=2)

and the denominators (3x6=18)

leaving you with 2/18

but that can be simplified, giving you the final answer of 1/9

$18.79 + $2.11 + ‐$1.92 + $17.28

Answers

i think it’s 36.26 .

decide whether the sequence is artithemetic, geometric or neither 2,6,10,16

Answers

Answer:

We conclude that the sequence is NEITHER geometrc nor arithmetic.

Step-by-step explanation:

Given the sequence

[tex]2,6,10,16,...[/tex]

As we know that

An arithmetic sequence has a constant difference d and is defined by:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Computing the differences between all adjacent terms:

[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:16-10=6[/tex]

The difference is not constant

Hence, the sequence is NOT arithmetic.

NOW, let's check whether is a geometric sequence or not

A geometric sequece has a constant common ration r and is defined by:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the common ratios between all adjacent terms:

[tex]\frac{6}{2}=3,\:\quad \frac{10}{6}=1.66666\dots ,\:\quad \frac{16}{10}=1.6[/tex]

The ratio is not constant

Hence, the sequence is NOT geometric.

Therefore, we conclude that the sequence is NEITHER geometrc nor arithmetic.

Item 11
A bag contains 6 red marbles. The ratio of red marbles to blue marbles is 2 for every 5. Find the number of blue marbles in the bag.

Answers

Answer:

15 blue marbles

Step-by-step explanation:

every 2 red marbles, 5 blue.

6/2=3             5x3=15

2 red      -      5 blue

4 red      -    10 blue

6 red      -     15 blue

I need help ion fully know what to do

Answers

For the first half; 2 is corresponding, 3 is alternate interior, 4 is alternate exterior, 5 is corresponding and 6 is alternate interior. As for the second half; 7 is 55 degrees, 8 is 145 degrees, 9 is 35 degrees, and 10 is 55 degrees.

Write the standard form equation for the line: y+1=-45(x+5).

Answers

The answer is 45x+y=-226. Hope this helps :)

What is the domain of f?

Answers

Well what you have to see here is where the lowest our x gets to and that is -7. Next we would want to find the highest x value that the graph gets to which is 7. The domain would be (-7, 7).

Answer:

(-7,7)

Step-by-step explanation:

HELPPP!!!!! AGAIN !!! MAARKING BRAINLIST! mAtH

Answers

Answer:

S = 10

Step-by-step explanation:

Proportion is 2:1

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

S = 10

Step-by-step explanation:

If they are congruent then 8 dived by 2 is 4.

To solve for S you reverse it,  5 times 2 is 10.

Explain it or I will not be accepting your answer.

Answers

Answer:

$10 an hour

Step-by-step explanation:

You go to the one hour than go up to where the line is and find out what the number is  

Answer:

Step-by-step explanation:

Ok, so to solve this problem, you need to find the slope of the line. You know this is what you need to find because units for slope is the y-axis units (dollars) divided by the x-axis units (hours), and your answer must be in dollars per hour based on the question. To find your slope, you use the formula (y2-y1)/(x2-x1). Basically, pick any two points on the graph. I will use (2,20) and (4,40). Now, find the change in x (4 - 2, or 2) and the change in y (40 - 20, or 20) and divide the change in y by the change in x (20/2) to get your answer.

9 29/40 as a decimal

Answers

Step-by-step explanation:

I think 9.279..............

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