-5x + y = -3 and –x - 5y = - 11 by substitution​

Answers

Answer 1

Answer:

x = 1, y = 2

Step-by-step explanation:

-5x + y = -3, we get y = 5x - 3.

Then plugs into the second equation, we get

-x - 5 (5x-3) = -11.

-x - 25x + 15 = -11,

-26x = -26

x = 1,

plugs x = 1 to y = 5x - 3, we get y = 2.

Answer 2

Answer:

Required Answer:-

-5x+y=-3---------------(1)-x-5y=-11----------------(2)

From eq (1)

[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]

Substitute the value in eq (2)

[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]

Substitute the value in eq (3)

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]

[tex]\therefore[/tex](x,y)=(1,2)


Related Questions

A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between nnn, the number of supervisors, and uuu, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.

Answers

Answer:

n = (1/9)u

Step-by-step explanation:

This is a direct variation relationship of the form

n = ku

For n = 2, u = 18.

2 = k * 18

We solve for k.

k = 2/18

k = 1/9

Now we use k in the equation of the relationship.

n = (1/9)u

draw a graph of y equals 7 + 4 x - 2x squared
a) use a graph to find the Turning point
b) use your graph to look for the roots .​

Answers

Answer:

thanks man i really needed points

Step-by-step explanation:

Answer:

i really need it

Step-by-step explanation:

thanks for the points

ASAP PLS!! BRAINLIEST GIVIN!!

Answers

Step-by-step explanation:

( 0,4 ) is the point in the graph

100 writen as a perfect square

Answers

Answer:

10^2.

Step-by-step explanation:

100 is a perfect square of 10.

sqrt (100)

= 10.

Hope this helped!

The width of a rectangle is 1/4 its length. The perimeter of the rectangle is 375 ft. What is the length, in feet, of the rectangle?

Answers

Answer:

Required Answer:-

Let

[tex]\sf length=x [/tex]

[tex]\sf Breadth={\dfrac {x}{4}}[/tex]

As we know that in a rectangle

[tex]{\boxed{\sf Perimeter=2 (l+b)}}[/tex]

Substitute the values

[tex]{:}\longrightarrow\sf 2 \left (x+{\dfrac {x}{4}}\right)=375 [/tex]

[tex]{:}\longrightarrow\sf 2 \left({\dfrac {4x+x}{4}}\right)=375 [/tex]

[tex]{:}\longrightarrow\sf 2 \left({\dfrac {5x}{4}}\right)=375 [/tex]

[tex]{:}\longrightarrow\sf {\dfrac {10x}{4}}=375 [/tex]

[tex]{:}\longrightarrow\sf 10x=4×375 [/tex]

[tex]{:}\longrightarrow\sf 10x=1500 [/tex]

[tex]{:}\longrightarrow\sf x={\dfrac {1500}{10}}[/tex]

[tex]{:}\longrightarrow\sf x=150[/tex]

[tex]\therefore[/tex]Length =150feet

) Multiply (x − 4)(x2 − 5x − 6). x3 − 9x2 + 14x + 24 x3 − x2 + 26x + 24 x3 − 5x2 + 10x + 24 x3 − 15x2 + 20x + 24 Question 10(Multiple Choice Worth 6 points) (01.03 MC) Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24

Answers

9514 1404 393

Answer:

  A.  x^3 − 9x^2 + 14^x + 24

Step-by-step explanation:

(x − 4)(x^2 − 5x − 6) = x(x^2 − 5x − 6) -4(x^2 − 5x − 6)

  = x^3 -5x^2 -6x -4x^2 +20x +24

  = x^3 +x^2(-5-4) +x(-6+20) +24

  = x^3 − 9x^2 + 14x + 24 . . . . matches the first choice

Answer:

The other person is right it is "x^3 − 9x^2 + 14x + 24"

Step-by-step explanation:

They showed their work so i felt like u could just look at theirs!!!

Xoxo

Which of the following can be used to find the measure of angles

Answers

A is the correct answer I believe
The answer to the question should be A

Elijah bought 334 pounds of ground hamburger meat for $11.00. Enter the price per pound of the ground hamburger meat. Round your answer to the nearest cent, if necessary. $

Answers

Answer:

Step-by-step explanation:

11/334 pounds= roughly 0.329 a pound or 0.33

Answer would be 0.33

Davaughn has 24 coins that are all dimes and quarters. The value of the coins is $3.75. How many dimes and how many quarters does Davaughn have?

Answers

Answer: 9 quarters and 5 dimes

Step-by-step explanation:

Find the volume of the solid. *
7)

Answers

Answer:

B

Step-by-step explanation:

The volume (V) is calculated as

V = area of triangular face × depth

Area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 3 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 Km²

Now depth = 2, thus

V = 6 × 2 = 12 Km³ → B

A car-rental agency charges $29.00 per day plus $0.25 for each mile driven. How many miles did Roberto drive if he paid $52.00 total for the rental car for one day?

Answers

Answer:

The below T&Cs (including prices and taxes) are provided by Hertz and may change ... Additional Drivers: $13.50* per day/driver (at most locations) capped at $189.00* per rental/driver; Extra miles (if your rental has limited mileage, each additional mile over the limit will ... It is illegal to drive in the US without car insurance.

Step-by-step explanation:

please help me this question​

Answers

Answer:

(b) or (d)

Step-by-step explanation:

stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24

This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:  Choice (b) 4y^2 - y - 24;  top right corner

===========================================================

Work Shown:

T = total number of students in the class

T = 4y^2 + y - 8

F = number of students who play football

F = 2y+16

B = number of students who play basketball

B = unknown for now

Since a student either plays football or basketball, but not both, this means

T = F+B

which rearranges to

B = T-F

Plug in the given expressions and simplify

B = T-F

B = (4y^2+y-8) - (2y+16)

B = 4y^2+y-8 - 2y - 16

B = 4y^2 + (y-2y) + (-8-16)

B = 4y^2 - y - 24

Do I add all the cost up then divide by four?

Answers

Answer:

Yeh that's what you have to do.....

Divide the total amount by four

Answer:

yes

Step-by-step explanation:

Taylor plans to borrow $4,500 from the bank to purchase a used vehicle. If he borrows the money at a rate of 4% interest for 2 years, what is the total amount he will have to pay back to the bank?

Answers

Answer:

$4867.2

Step-by-step explanation:

What do the slope and y-intercept of a real-world linear function represent?

Answers

Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

ABC is a central angke in a cirvle with center B. The length of the radius is 13 km and m

Answers

Answer:

[tex]\frac{1170pi}{360m}[/tex]km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]

                                 = [tex]\frac{1170pi}{360m}[/tex]km

Classify the following polynomials. Combine any like terms first
2-x² + 4x+x²
x – 5x²+3-2
x²-x²+x²-x²+3
7x-x² + x³+4x²
-6x-x² + 6x-4x

Answers

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

To answer the question, we need to know what polynomials are

What are polynomials?

Polynomials are algebraic expressions that contains variables and coefficients.

a.

2 - x² + 4x + x² = 2 - x² + x² + 4x

= 2 - 0 + 4x

= 2 + 4x

Since it has two terms, it is a binomial

b.

x - 5x² + 3 - 2 = x - 5x² + 1

= - 5x² + x + 1

Since it has three terms, it is a trinomial

c.

x² - x² + x² - x² + 3 = 0 + 0 + 3

= 3.

Since this contains a single term, it is a monomial

d.

7x - x² + x³ + 4x² = x³ + 4x² - x² + 7x

= x³ + 3x² + 7x

Since it has three terms, it is a trinomial

e.

-6x - x² + 6x - 4x = -6x - x² + 2x

= - x² + 2x - 6x

= - x² - 4x

Since it has two terms, it is a binomial

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

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Find a solution to the system. Make sure to write as a coordinate.

Answers

Answer:

x=2, y=3

Step-by-step explanation:

This is a system of equations.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:

[tex]2*(2y-4)+y=7[/tex]

We simplify and solve for y:

→ [tex]4y-8+y=7[/tex]

→ [tex]5y=15[/tex]

[tex]y=3[/tex]

Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:

→ [tex]x=2*3-4[/tex]

[tex]x = 2[/tex]

Let me know if my explanation is unclear.

Find the value of f(-7).

Answers

Answer:

f(-7) = -4

Step-by-step explanation:

We want to find the value of the function when x = -7

The y value of the function when x= -7 is -4

f(-7) = -4

Answer:

f(-7)=-4

Step-by-step explanation:

If you look at the x, in this case -7, and follow it down to where it stops on the parabola, you will see that it's y value is -4.

For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.

Answers

Answer:

water : sucrose : saline = 1000 : 199 : 271

Step-by-step explanation:

Given Information:

water = 1 litre

Process:

convert everything to mL (same units)1 litre = 1000 mlwater = 1 litre = 1000 mlwater : sucrose : saline = 1000 : 199 : 271

7th grade advanced, please help!!

Answers

Answer:Company B 12.72

Step-by-step explanation:

35/2.75=12.72

32.50/2.5=13

You divide them so you get the price per one pound.

Hope this helps!!!!

Answer:

Company B offers the lowest price per pound of 12.72

Step-by-step explanation:

Unit Price

Given a product that costs X dollars and has Y pounds, the unit price is given by X/Y dollars per pound.

Elle is comparing prices to purchase candy online. Company A offers 2 1/2 pounds of chocolate for $32.50 and Company B offers 2 3/4 pounds of chocolate for $35.00.

The offer of Company A is for 2 1/2 pounds = 2.5 pounds

The offer of Company B is for 2 3/4 pounds = 2.75 pounds

The unit price for Company A is $32,50/2.5 = $13/pound

The unit price for Company B is $35,00/2.75 = $12.72/pound

Company B offers the lowest price per pound of 12.72

the distance between two towns is 300 km two cars start simultaneously from this towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 kilometre find the speed of the cars​

Answers

Answer: I think its 131.19, but not too sure.

Step-by-step explanation:

To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19

Do you want the speed of both cars? then the answer would be:

(300)- first car= 128.20

(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)

rewrite in simplest terms. 8(-5d-9) -3(-6d+10)

Answers

Answer:

− 22 d − 102

Step-by-step explanation:

Nina can stitch 3 of a dress in 4 hours. If drepresents the number of dresses and h represents the number of hours, which equation
represents this proportional relationship?
OA d=6
B.
3d=4h
oc. d = 13h
D.
d=4
OE. d=12

Answers

Answer:

C. d= 1/6h

Step-by-step explanation:

2/3 dress in 4 hours

We need to find out how much of a dress can be finished per hour.

2/3 /4 = 2/12

2/12 ---> 1/6

d= 1/6h

Brainliest is much appreciated!

simplify 5/4+4(3/4−1/2)^2

Answers

Step-by-step explanation:

5/4+(12/4_1/2)^2

5/4+((12_8)/4)^2

5/4+1

9/4

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]

= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]

= [tex]\frac{6}{4}[/tex]

= [tex]\frac{3}{2}[/tex]

HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3. If Laney ran 36 laps, how many laps did Mason run?

I need the fast plz

Answers

The answer is 21. It’s obvious.

What effect can be observed because of the gravitational pull between Earth and the moon.
HURRY THIS IS DUE IN 11 MINUTES! I NEED ANSWERS ASAP!!!!!

Answers

Answer:

The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.

Step-by-step explanation:

The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.

Hope it helped!!

How are y'all doing today?

Answers

Answer:

goooooooooooooooooood

Step-by-step explanation:and you?

Answer:

Great!

Step-by-step explanation:

But in the future please only post questions, since this is a homework site.

B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry

Answers

Answer:

Required Answer:-

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

What is a triangle?

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

Learn more about triangles, Here:

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The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

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