if x - 2y = 1 and 2x - y = -4, then x + y = ?

Answers

Answer 1

Answer:

x + y = -5

Step-by-step explanation:

x - 2y = 1

2x - y = - 4

then:

x = 1 + 2y

then:

2(1+2y) - y = -4

(2*1 + 2*2y) - y = -4

2 + 4y - y = -4

3y = -4 -2

3y = -6

y = -6/3

y = -2

x = 1 + 2y

x = 1 + 2*-2

x = 1 - 4

x = -3

Check:

x - 2y = 1

-3 -2*-2 = 1

-3 + 4 = 1

Answer:

x + y = -3 -2= -5


Related Questions

NEED HELP ASAP (GET GOOD POINTS)

Answers

Answer:

3 degrees in 1 hour

Step-by-step explanation:

.75 degrees

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

1/4 hours

Multiply the top and bottom by 4

.75 degrees *4

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

1/4 hours*4

3 degrees

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

1 hour

What is a y-intercept of the continuous function in the table?

Answers

Answer:

5=y-intercept

Step-by-step explanation:

the y intercept point is when y has a number but x is 0 so we see what is y (f(x)) and it is 5


Which of the following is an irrational number?
81/37

85
25
47

Answers

47 is an irrational number

MATCH THE CONSTANT WITH ITS EXPRESSION! HELP PLEASE I SUCK AT MATH❤️❤️❤️❤️

Answers

Answer:

Step-by-step explanation:

The constant of an equation is simply the number at the end without a variable. It is called a constant because it is the only term that doesn't change if you plug in a random x value. So:

The constant of 5a^2 + a - 1 is -1

The constant of 3x^2-x +1 is +1

The constant of y^2-2y+2 is +2

and the constant of m^2 +2m -2 is -2.

Hope this helped!

The midpoint of AB is M(1, -3). If the coordinates of A are (4, -7), what are the
coordinates of B?

Answers

the coordinates of B would be (-2,1)

Is 6.60660666 a rational number?

Answers

Answer:

no

Step-by-step explanation:

If all else remains constant and the values of two variables move in the same direction it indicates a Group of answer choices negative slope relationship. inverse slope relationship. the values of the two variables will move in the same direction then move in opposite directions. positive slope relationship.

Answers

Answer:

positive slope relationship.

Step-by-step explanation:

When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.

For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.

Please check the attached image for a positively correlated curve


A student moves into a bigger apartment that rents for $550 per month. That rent is $300 less than twice what she had been paying. Find her former rent in dollars.
$

Answers

Answer:

Step-by-step explanation:

Her former rent is $ x

Twice the former rent: 2*x = 2x

$300 less than 2x: 2x - 300

2x - 300 = 550

Add 300 to both sides

2x - 300 + 300 = 550  + 300

                    2x = 850

Divide both sides by 2

               2x/2 = 850/2

x = 425

Her former rent = $425

In this question, the older and newer rents of a student in two apartments in given. And some conditions and information is also provided,

GiveN:

New rent = $ 550This is $ 300 less than twice the previous

We have find her rent in the previous apartment.

Let her previous rent be $ x

Then according to question,

➝ $ 550 = 2x - $ 300

Adding $ 300 both sides,

➝ $ 550 + $ 300 = 2x

Flipping it,

➝ 2x = $ 850

➝ x = $ 425

So, The previous rent of the student:

[tex] \huge{ \boxed{ \bf{ \$ \: 425}}}[/tex]

And we are done !!

#CarryOnLearning

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Which input value produces the same output value for
the two functions on the graph?
x=-3
x= -2
x=-1
x= 3

Plzzzzz help me

Answers

Answer: x=-2

The lines touch at point (-2,1)

Enter the mixed number as a decimal 3 and 1 over 10

Answers

3.1 i think but hopefully that might help

6th grade math plsss help​

Answers

Answer:

17.2

Step-by-step explanation:

Answer:

The answer is 17.2

Step-by-step explanation:

What is the value expression for |-8|

Answers

Answer:

8

Step-by-step explanation:

−9 1 /6 + 7 help thanks ;)

Answers

Hey there!

ANSWER: [tex]-2\frac{1}{6}[/tex]EXPLANATION:

[tex]-9\frac{1}{6}+7[/tex]

After that, multiply the whole number by the denominator and then add the numerator after you multiply.

[tex]-\frac{55}{6}+1[/tex]

[tex]9*6=54+1=55[/tex]

Now add the negative sign to 55.

[tex]\frac{-55}{6}+7[/tex]

[tex]\frac{-13}{6}[/tex]

Now simplify.

[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

find the sum 9/10 + 4/100 =?

Answers

Exact Form: 47/50

Decimal Form: 0.94




horizontal translation


reflection over the x-axis



reflection over the y-axis

Answers

Answer:

The correct option is;

Reflection over the y-axis

Step-by-step explanation:

An even function is a function that satisfies the following function equation;

f(x) = f(-x)

Therefore, for an even function, we have;

f(x) - f(-x) = 0

Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x

Therefore, the symmetry of an even function is about the y-axis

However, an odd function is a function that satisfies the following function equation;

f(-x) = -f(x)

Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;

f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).

a)
percent.
A shopkeeper fixed the price of his articles 25 % above the cost price. If he sold an
article allowing 5% discount, find his profit percent.
Ashankeaner fived the more
bi
CL​

Answers

I think that it might be a website that gives all the answers I not sure doe looking it up

Help! ASAP!!!

Use the map shown below to find the distance between cities A and B to the nearest tenth.

Answers

Answer:

7.2 units

Step-by-step explanation:

Coordinates of city A = (0, 0)

Coordinates of city B = (6, 4)

Use the distance formula to find the distance between the two cities as follows:

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(0, 0) = (x_1, y_1) [/tex]

[tex] B(6, 4) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] AB = \sqrt{(6 - 0)^2 + (4 - 0)^2} [/tex]

[tex] AB = \sqrt{(6)^2 + (4)^2} [/tex]

[tex] AB = \sqrt{36 + 16} = \sqrt{52} [/tex]

[tex] AB = 7.2 [/tex] (nearest tenth)

What is x=to in this? 3x + 18 = 4x + 10

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]3x+18=4x+10[/tex]

Subtract 18 from both sides:

[tex]3x+18-18=4x+10-18[/tex]

[tex]3x=4x-8[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-8-4x[/tex]

[tex]-x=-8[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]

[tex]x=8[/tex]

1.For this problem, 200 meters of fencing will all be used to place fence on all four sides of the rectangle. Your task is to write the area that can be enclosed as a function of the width, w, of the rectangle.


Area equation:


What is the domain for this function (what values do you expect the width to fall between)?

Answers

Answer:

Step-by-step explanation:

Given that:

the perimeter of the fencing (rectangle)  = 200

Let recall that the area equation of a rectangle = L × w

The perimeter now = 2(L + w)

The perimeter = 2L + 2w

200 = 2L +2w

Dividing both sides by 2

100 = L + w

Making Length L the subject; we have:

- L = -100 + w

L = 100 - w

Thus;

A(w) = (100 - w) w

and the domain of the function is (0,100)

If a=2b then a:b= what ???​

Answers

Answer:

[tex]2:1[/tex]

Step-by-step explanation:

[tex]a:b\\---\\\ 2b:b\\2:1[/tex]

Five less than one half of a number is 18.

Answers

Answer:

x/2 - 5 = 18

Step-by-step explanation:

4. A dolphin decsends toward the bottom of
the ocean at a rate of 12 feet per second
for 20 seconds. How much did the
dolphin's position change in all? (5 points
for work, 5 points for answer) (TEK 7.3B)

Answers

It descended 240 feet 12*20 is 240

100 x 0.64

Please help sorry I keep asking questions I’m doing a test and it’s kinda hard

Answers

100 x 0.64 = 64.

All you have to do is multiply the numbers as if there wasn’t a decimal.

Then you add a decimal after 2 numbers.

.64 has a decimal after 2 numbers so your answer would have a decimal after 2 numbers also.

So when you get 6400 you out a decimal after 00.

That gives you 64

What is one equivalent ratio for 1/3

Answers

Answer: 2/6

Step-by-step explanation:

Answer:

[tex]\frac{2}{6}[/tex]

Step-by-step explanation:

In order to create an equal ratio to [tex]\frac{1}{3}[/tex], we need to find a constant to multiply both the numerator and the denominator by.

Let's do 2.

[tex]1\cdot 2 = 2\\\\3\cdot 2 = 6\\\\[/tex]

So:

[tex]\frac{2}{6}[/tex]

Hope this helped!

How much larger is 5 than -5 ? ( if using a number line what is the difference between -5 and 5)

Answers

Answer:

-10 if moving to left 10 if moving to the right

Step-by-step explanation:

The difference is 10 because if you go from 0 to 5 and then go to -5 you're skipping 10 units to the left go there if you're going right it's positive 10 if you're going left it's negative -10

The difference is 10.

5 - (-5) = 10.

you are subtracting a negative number.

That basically means adding.

a trick to that is using the two subtraction symbols to make a plus.

I added an image in case that didn’t make sense!

The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?

Answers

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

HELP PLZ
what is the formula to convert from Fahrenheit to celcius​

Answers

(32°F − 32) × 5/9 = 0°C

distance between -6.5 and 5.25

Answers

Answer:

11.75

Step-by-step explanation:

What is equivalent to
5[4 + 3(x – 6)]?

Answers

Answer:

odk

Step-by-step explanation:

the daily cost of hiring a plumber to work x hours on a repair project can be modeled using linear function. the plumber charges a fixed cost of $80 plus and additional costs of $45 per hour. the plumber works a maximum of 8 hours per day.
for one day of work, what is the maximum daily cost that the plumber will charge?​

Answers

Answer:

15 dollars

Step-by-step explanation:

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