Solve the following system of equations:
y=2x + 1
y = -x+4

x= ?
y=?​

Answers

Answer 1

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3


Related Questions

If point A(-8, 5) is reflected over the line y=2 and then translated according to the rule (x,y) -> (x-1, y-4), what quadrant will point A be in?

Answers

9514 1404 393

Answer:

  3rd quadrant

Step-by-step explanation:

The second-quadrant point will lie in the 3rd quadrant after reflection over the line. Its coordinates there will be ...

  A'(-8, 2·2 -5) = A'(-8, -1)

Then, translation down and to the left will move it further into the 3rd quadrant, to ...

  A''(-8-1, -1-4) = A''(-9, -5) . . . . a 3rd-quadrant point

4/3(6y+21)-17>43 help pls

Answers

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

Please help this is a major gradeeeeee

Answers

Answer:

45

Step-by-step explanation:

I think it’s
45 hopefully it’s right let me know!

z varies directly with q. when z=2,q=1 .

find a formula connecting z and q

z=???

Answers

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

[tex]k = \frac{2}{1} [/tex]

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q

A triangle has an angle that measures 68°. Which of these can be the measures of the other two angles?

Answers

Answer:

56 degrees

Step-by-step explanation:

180-68=112

112/2=56

hope i could help!

Answer:

112

Step-by-step explanation:

The sum of the other two angles is 112 degrees (180-68 = 112).

But the question is, what triangle is it?

Two other angles could be:

1) 90 and 22 degrees;

2) two equal angles of 56 degrees

3) any that would satisfy the condition in the amount of 112 degrees.

Decrease £313 by 62%
Give your answer rounded to 2 DP.

Answers

Answer:

194.06

Step-by-step explanation:

£313 decreased by 62% is £118.94

In order to determine the answer, the first step to take is to determine the value of 62% of £313.

Value of 62% = 62% x £313

0.62 x £313 = £194.06

The second step is to subtract the value of 62% of £313 from £313

£313 - £194.06 = £118.94

In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.

A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults

The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?

Answers

Answer:

6 days

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days

. A girl pushes herself up a steep ramp in her
wheelchair. She gains a vertical distance of
25.8 m when she reaches the top of the ramp.
She turns around and coasts back down the ramp.
If the combined mass of the girl and her wheelchair
is 64.6 kg, what would be her coasting speed at the
bottom of the ramp? Show all your work.

Answers

Answer:

32 Joule by 21 secs

Step-by-step explanation:

I hope that's the correct answer. Best of luck

3x +4= 9x + 3 I need help PLEASEEE

Answers

Add 3x and 9x together and then your equation should look like this, 12x + 7

Answer:

x=-1/6

I luv u

If an 8 sided solid is rolled 180 times, how many times would you expect either a 3,5, or 7 to be rolled? ​

Answers

Answer:

no

Step-by-step explanation:

Which triangles are similar?

Answers

Answer:

A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D

Step-by-step explanation:

~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~

Answers

Answer:

b 19

Step-by-step explanation:

Answer:

the answer is 19, B.

Step-by-step explanation:

this is my first time answering a question. i hope this helps you.

Can anyone help mee!!!

Answers

Answer: I want to say 30 degrees you have to put the degree simble

Step-by-step explanation:

Answer: 30 degrees
Explanation: all of the angles added together in a triangle is equivalent to 180 degrees
180-130-20=30

1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:

Answers

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?

Answers

Answer:

no sé eres tú

Step-by-step explanation:

A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices

Answers

Answer:

Length of spaceship in movie = 528

Step-by-step explanation:

Given that:

Drawing ratio of spaceship = 1 : 24

It means that 1 inch on drawing equals 24 inches in movie

Drawing of spaceship = 22 inches

Length of spaceship in movie = x

As the relationship is proportional,

1 : 24 :: 22 : x

Product of mean = Product of extreme

24*22 = x

x = 528

Hence,

Length of spaceship in movie = 528

Find the greatest common factor.
3x^2a+3xa^2

Answers

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

x

.

x

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

a

.

a

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

x

a

1

=

a

x

1

=

x

a

2

=

a

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

a

.

x

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?

Answers

Answer:

Le answer tis 4 UwU

Step-by-step explanation: G'day mate!

P.S- Brainlest plzz??

Answer:

5

Step-by-step explanation:

e

Please help
Need working for 2 and 3

Answers

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7

Answers

Answer: n(7)+3=10
Explanation: 7+3 equals 10

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

[tex]n + 3[/tex]

[tex]7 + 3[/tex]

[tex]10[/tex]

hence, the given expression is equal to 10, when n = 7

True or False To find the circumference of a circle you multiply the diameter by pi

Answers

Answer:

false

Step-by-step explanation:

Formula: c=2[tex]\pi[/tex]r

Circumference= two times pi times radius

The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.

Answers

Answer:

when you do 15×528 you get 7920 books

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?


The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.

Answers

Answer:

D. a rectangle

Step-by-step explanation:

On a coordinate plane it is D. RECTANGLE (I think)

can someone please please please help me asap?!

Answers

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

4.5m is__% of 90cm. And 90cm is ___% of 4.5m.

Pls help me! This is really hard.

Answers

You got this. Just a proportional issue once units of cm and m is converted.

1 meter is 100 centimeters (deci is 10, centi is 100, milli is 1000)

4.5 meter = 4.5 x 100 or 450 centimeters

(450/90)x100= 500%. 4.5 meters is 5 times longer than 90 cm
Cross check: 5x90=450

(90/450)x100= 20%
Cross check: .2x450=90

This has been answered before on Brainly

4.5m is 500% of 90cm

90cm is 20% of 4.5m.

this is for freckle which I hate can someone help?

Answers

Answer:

The answer is B. 26 miles per hour.

Step-by-step explanation:

13+13=26

X goes by an hour.

The answer would be C.39 because 39 lines up with 1 he so 39 miles per hour

Hope this helps

Have a great day/night

250 is what percent of 200?

Answers

Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

30 points! Will mark brainliest. No random answer please.

Answers

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

2x+3y=15

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

so the cooficient tell us the slope of the line so it is -2/3

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

so the slope of this line is -4/6

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

they are neither parallel nor perpendicular.
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