Solve the following system of equations.
2x + 5y = -18 and y = -4x

Answers

Answer 1

Answer:

x=1 and y= -4

Step-by-step explanation:

step one: plug -4x into y in thi]e first equation.

2x+5(-4)= -18

step two: solve for x

2x-20= -18

(add 20 to both sides to eliminate -20 on the right)

2x=2

(divide both sides by 2 to get x by its self)

x=1

step 3: now that we found the value for x plug it in to either equation and solve for y

y= -4x

y= -4(1)

y= -4


Related Questions

if 4 books cost $52, how much will 2 books cost?​

Answers

Answer:    2 books would cost $26.

Step-by-step explanation:

4 books : $52                 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.

2 books : $26

how would I solve this ​

Answers

Answer:

x=12

Step-by-step explanation:

subtract each side by five since it is the inverce oporation

X=12 hope this helps

Becky invests £5000 for 2 years in a bank account.
She gets simple interest at a rate of 3% per year.

Work out the total amount of interest Becky gets by the end of 2 years.

Answers

Answer:

£5300

Step-by-step explanation:

-first you find 3% of 5000, which is £150

-£150 only represents the intreset for one year, but becky invests for 2 years, so:

150*2= 300

-add them together:

300+5000=5300

Identify the transformation that was applied to this letter


A. Rotation about the origin
B. Reflection over the x-axis
C. Translation
D. Reflection over the y-axis

Answers

it should be A ) Rotation about the origin

A group of students go to the store to buy school supplies. If they buy three
binders and four notebooks, the bill will be $4.85. If they buy three binders and
ten notebooks, the bill will be $8.75. What is the cost of each binder and
notebook?

Answers

Answer: Binder = 75c    notebook = 65c

Step-by-step explanation:

3b + 10n = 875

3b + 4n = 485

Subtracting gives:

6n = 390

390/6 = 65

n = 65

Substitute 65 into 3b + 4n = 485

3b + 260 = 485

3b = 485 - 260

3b = 260

b = 75

PLSS HELP ME IN MATH!!!

Answers

..........the answer is 48 × 10^-8

The lines represented by the equations y=\frac{4}{5}x+8y= 5 4 ​ x+8 and 20y+25x=18020y+25x=180 are

Answers

Given:

The equations of lines are

[tex]y=\dfrac{4}{5}x+8[/tex]

[tex]20y+25x=180[/tex]

To find:

The relation between two of lines.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=\dfrac{4}{5}x+8[/tex]        ...(i)

[tex]20y+25x=180[/tex]          ...(ii)

Equation (i) can be written as

[tex]20y=-25x+180[/tex]

[tex]y=\dfrac{-25x+180}{20}[/tex]

[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]

[tex]y=\dfrac{-5x}{4}+9[/tex]             ...(iii)

On comparing (i) with slope intercept form, we get

[tex]m_1=\dfrac{4}{5}[/tex]

On comparing (iii) with slope intercept form, we get

[tex]m_2=-\dfrac{5}{4}[/tex]

Now,

[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]

[tex]m_1\times m_2=-1[/tex]

The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.

Therefore, the given lines are perpendicular.

Which expression conatins like terms?
a
4c + 6y - 15

b
7d - 5 + 3g

c
66 - 32v + 21 - 14t

d
5y + 6y - 45
PLEASE HELP

Answers

D...................

Describe the line below using slope and intercept.

y = 3/2x - 4

Answers

The equation is not linear so the slope doesn’t exist

Mr. Doyle washed
2
5
of his laundry. His son washed
1
3
of it. Who washed most of the laundry?
How much of the laundry still needs to be washed?

Answers

Answer:

Mr Doyle washed the most.

4/15 still need to be washed.

Step-by-step explanation:

2/5=6/15  Mr Doyle

1/3=5/15   Son

so Mr Doyle washed the most.

Together they washed 11/15 of the laundry so 4/15 is left to wash.

What is m∠1?....................

Answers

answer is 147

hope that helped

Answer:

m∠1 = 147°

Step-by-step explanation:

triangle = 180°

117 + 30 = 147

180 - 147 = 33

line = 180°

180 - 33 = 147

m∠1 = 147°

I suck at math please help!

Answers

Answer:

62

Step-by-step explanation:

the triangles angles always add up to 180 degrees

66+52=118

180-118=62

hope this helps :) have a nice day !!

The budget for a school dance is $390.00. Decorations and refreshments cost $150.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?

Answers

Answer:

The maximum number of hours the school can have the band play at the dance is 4.

Step-by-step explanation:

150 + 100 + 35x ≤ 390

250 + 35x ≤ 390

subtract 250 from both sides

35x ≤ 140

divide by 35 on both sides

x ≤ 4

Please answer it is urgent.

Answers

Answer:

2/3

Step-by-step explanation:

The slope is a 2/3 gradient :>>

Answer:

I believe that the answer is 2/3.. but I may be wrong...

Step-by-step explanation:

Find the slope that passes through the line (9, 3) and (2, 7)

Answers

Answer:

-4 / 7

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

m = (7 - 3) / (2 - 9)

m = 4 / -7

m = -4 / 7

OR

m = (y2 - y1) / (x2 - x1)

m = (3 - 7) / (9 - 2)

m = -4 / 7

what is needed in order to write the equation of a line in slope intercept form

Answers

Answer:

Step-by-step explanation:

you only need the rate of change and the y intercept.

2/5 (s + 20) pls help

Answers

Answer:

2s/5 + 8

Step-by-step explanation:

if you wanted it simplified..

What is the new location of the point (7,-8)
when it has been rotated 90 degrees?

Answers

Answer: The answer is A

Step-by-step explanation:

hello can someone help me with this?

Answers

Answer:

11/21/52100-1-1/2-1/5-2-10

Devin has a new job as an apple employee he is paid $16 per hour a one time bonus of $4,325. If he earns $4,997 on his paycheck, how many hours did he work

Answers

$4,997 paycheck - $4325 bonus = $672 earnt
$672 earnt / $16 per hour = 42 hours

Devin worked:

42 hours

PLEASE HELP QUICK!! THANKS IN ADVANCE!!

Answers

Answer:

d

Step-by-step explanation:

Earth makes a full rotation every
24 hours, Noptune makes a full rotation
every 16 hours. What is the ratio of
Earth rotations to Neptune Rotations?
(in simplest terms)

Answers

Answer:

I think the ratio is 3:2 :)

24:16=12/8=6/4=3/2. The answer would be 3:2 bc you divide both sides by 8 or, like I did, divide it by 2 three times.

Please help.17 Points

Answers

Answer:

9738.2

Step-by-step explanation:

cus I'm right 84920021

(-3)^2 = 9
9^2 = 81

or you can do it ((-3)^2)^2 = (-3)^4 = 81

help 8+x2=−12..im confused

Answers

Answer:

Step-by-step explanation:

No real solutions exist. Subtract 8 on both sides to get:

[tex]x^2=-20[/tex]

You cannot take the square root of a negative number without involving imaginary numbers.

Answer and Explanation

__________________________________________________________

-10

__________________________________________________________

The answer is -10 because...

You need to multiply 2 by "x," and to find out what "x" is, we need to add...

[tex]2+-12[/tex]

__________________________________________________________

And if we add  [tex]2[/tex] by [tex]-12[/tex], we get [tex]-10[/tex], which is our answer.

__________________________________________________________

and now, if we add [tex]-20[/tex] by  [tex]8[/tex], we get [tex]-12[/tex], which is what the equation equals, and this is how we know it is correct.

__________________________________________________________

Hope this helps! :)

There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?

Answers

Answer:

15 girls and 10 boys

Step-by-step explanation:

Answer:

students=35

ratio of girls to boys=2:3

2+3=5

girls.

⇒[tex]\frac{2}{5}[/tex]×35

⇒2×7

⇒14

boys

⇒[tex]\frac{3}{5}[/tex] × 35

⇒3×7

⇒21

Step-by-step explanation:

Which of the following is an equivalent fraction for 2/3? *

1. 6/9
2. 2/8
3. 12/20
4. 10/30

Answers

1. 6/9
Reason is 2x3=6 and 3x3=9, giving u 6/9

Answer:

6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3

What is the value of x in the triangle shown

A. 116
B. 57
C. 19
D. 123

Answers

Answer:

C. 19

Step-by-step explanation:

90+26=116

180-116=64

3x+7=64

3x=57

x=19

6²•8² = [?]
Enter the value that goes in the box​

Answers

Answer:

36 * 64

= 2304

Hope it help

help with hw plz also I already found x ​

Answers

Step-by-step explanation:

If you found x already just look for the triangle that equals 180 or whatever the total angle is for problem.

1. Acute 2. Obtuse 3. Right
4. Obtuse 5. Right 6. Acute
7. Acute 8. Obtuse 9. Right

Allison has an account balance of -$50.15. Does Allison owe the bank more or less than $50?

Answers

Answer: Allison owes the bank more then $50

Answer:

Allison will need more than $50.

Step-by-step explanation:

If you add 50 to -50.15, there is still -.15 cence left. So Allison will need more than $50 to have a positive balance.

Other Questions
Which of these is an example of an appropriately narrowed research topic?)Are therapy animals helpful for people with anxiety issues) Do zoos save animals or do they destroy their lives ) do extreme sports build character or inflate egos) does reading online make you a better reader or more distracted reader (e)Calculate the mass of one atom of sodium.Use the equation:relative atomic massmass of one atom of sodium =Avogadro constantAvogadro constant = 6.02 x 1023Give your answer to 2 significant figures Which postulate proves the two trianglescongruent?AccountSASSSSAASASANot congruent Manny ran a total of 77 miles over the course of 7 track practices. How many track practices would it take for Manny to run 99 miles? Assume the relationship is directly proportional. . The function is shown belo [tex]y=2^x[/tex] If the function is translated 4 units up, which of the following will represent the y-intercept and the equation of the horizontal asymptote of the translated function? Read the excerpts from Ovids Pyramus and Thisbe and Shakespeares Romeo and Juliet."Pyramus and Thisbe"They had no confidantand so used signs:with these each lover read the other's mind:when covered, fire acquires still more force.Romeo and JulietRomeo: She hath forsworn to love, and in that vowDo I live dead that live to tell it now.Benvolio: Be ruled by me, forget to think of her.Romeo: O, teach me how I should forget to think.Benvolio: By giving liberty unto thine eyes;Examine other beauties.Which statement best describes the difference between these excerpts? (THINK FAST) 1st object that comes to mind 10x 3>-23Please helpppp If a bowling ball is dropped out of an airplane,what will its speed (velocity) be after 3.4seconds, assuming no air resistance? (Hint: Usethe equation v = 32t). Find the quotient. Use a model to explain your answer1/6 divided by 3 = ? Please let me know if I my answer is correct. If it's not, please let me know the right answer. Simplify the expresssion[tex](\frac{2b}{c})^3[/tex] My answer is [tex]\frac{8b^3}{c^3}[/tex] Can u guys plz help me it's timed 1. What did you think Joe should do at first? After reading the text, did you change your answer? Why orwhy not? What is the main reason why foodborne illnesses can take hours or days before symptoms occur? what is DNA replication similar to How do you think changing the names of German items (frankfurters) to American names (liberty sausages) affected the war effort? Explain your answer. Describe what the name Epimetheus means Please HELP!! Ill mark brainliest to anyone who answers solve for x 11^(x-4)=121^(x) What was the effect of the civil war between Hindus and Muslims in the Mughal Empire during the 18th century?