Solve the system by substitution. 4x=8y 2x+5y=27

Answers

Answer 1

Answer:

(6, 3)

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

4x = 8y

2x + 5y = 27

Step 2: Rewrite systems

x = 2y

2x + 5y = 27

Step 3: Solve for y

Substitute:                         2(2y) + 5y = 27Multiply:                             4y + 5y = 27Combine like terms:          9y = 27Isolate y:                            y = 3

Step 4: Solve for x

Plug in y into an original equation to find x.

Substitute:               4x = 8(3)Multiply:                   4x = 24Isolate x:                  x = 6
Answer 2

Answer:

[tex](6,3)[/tex]

Step-by-step explanation:

[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]

[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]

[tex]x =2y\\x= 2(3)\\x=6[/tex]


Related Questions

Click on the supporting detail that correctly explains what
happens during reduction firing.
Answer:the third one

Answers

Answer: sorry i’m late ..

but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place

Step-by-step explanation:

i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!

BRAINLIEST! Please help me with the following riddle (its part of an assignment):

If an electric train is traveling south, which way is the smoke going?

Answers

Answer:

The electric train produces no smoke.

Step-by-step explanation:

Hope this helped! :>

Answer:

There is no smoke.  This is because the train is electric so it does not even matter the direction.

Solve for k
p(k + 12) = 8 – 4k

Answers

Solve for k:

k = 4 (2 − 3p)/p + 4

Answer:

k =  4(2 - 3p)/(p + 4).

Step-by-step explanation:

p(k + 12) = 8 – 4k

pk + 12p = 8 - 4k

pk + 4k = 8 - 12p

k(p + 4) = 8 - 12p

k = (8 - 12p)/(p + 4)

k = 4(2 - 3p)/(p + 4).

A small kite starts 3.7meters off the ground and rises at 6.2 meters per second. A large kite starts at 20.65 meters off the ground and drops at a rate of 5.1 meters per second. After how many seconds are the kites at the same height? Write and solve an equation.

Answers

Answer: The kites are  at the same height at 15.41s

Step-by-step explanation:

Step 1

Let t represent the time in seconds.

The equation that represents when both small and large kite are at the same height is given as

3.7 + 6.2t =20.65 +5.1t

Step 2----- Solving

3.7 + 6.2t =20.65 +5.1t

Taking like terms  and subtracting

6.2t-5.1t  = 20.65- 3.7

1.1t =16.95

t = 16.95/1.1

t=15.41s

The kites are  at the same height at 15.41s

Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?​

Answers

Answer:

           f(x) = - 4x² - 20x + 56  

Step-by-step explanation:

f(x) = a(x - x₁)(x - x₂)     - factored form of the equation of the parabola with zeros x₁ and x₂

x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7

So:

f(x) = a(x - 2)(x + 7)     - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)

The parabola passing through point (1, 32) means if x=1 then f(x)=32

Then:

        32 = a(1 - 2)(1 + 7)  

        32 = a(-1)(8)  

        32 = - 8a

         a = - 4

Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):

                           f(x) = -4(x - 2)(x + 7)  

Expanding to standard form:

     f(x) = -4(x - 2)(x + 7)

     f(x) = -4(x² + 7x - 2x - 14)  

     f(x) = -4x² - 20x + 56  

The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is

f(x) = -4 ( x - 2 ) ( x + 7 )

Its standard form is

f(x) = -4x² - 20x + 56.

What is a parabola?

It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

We have,

To find the equation of a parabola we use the factored form of a quadratic equation.

f(x) = a ( x - m ) ( x - n)

Where a is the leading coefficient and m and n are the zeros of the quadratic.

The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,

m = 2

n = -7

Now the equation passes through (1, 32) = (1, 32) so we have,

32 = a ( 1 - 2 ) ( 1 - (-7) )

32 = a ( -1 ) ( 1 + 7 )

32 = a ( -1 )8

32 = -8a

a = -32 / 8

a = -4

We have,

m = 2

n = -7

a = -4

The equation of the parabola is:

f(x) = a ( x - m ) ( x - n)

f(x) = -4 ( x - 2 ) ( x + 7 )

We can expand to its standard form as:

f(x) = ( -4x + 8 ) ( x + 7 )

f(x) = -4x² - 28x + 8x + 56

f(x) = -4x² - 20x + 56

Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.

Learn more about parabola here:

https://brainly.com/question/4074088

#SPJ2

5. A line has a slope of (-3/2) and a
y-intercept of (-4). Write the equation of
the line.
Explanation:

Answers

Using the formula y=mx+b we know that m=slope and b= y-intercept. So what your just doing is plugging in. So it would be Y= -3/2x-4 . I hope that helps! ^^

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

A rectangular field is to be enclosed by a fence and divided
into two parts by another fence. Find the maximum area
that can be enclosed and separated in this way with 800 m
of fencing

Answers

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

What is the value of x?

Answers

6x+6x+8x=180
20x=180
x=9

1 15/100 + 1/50 + 1.175

Answers

Answer:

Step-by-step explanation:

Change fractions to have the same denominator or change them all to a decimal.  Then add.

Decimal method:

1 and 15/100 is equal to 1.15

1/50 is equal to 0.02

The final term is already a decimal

Add.  1.15 + 0.02 + 1.175 = 2.345

Two rectangles with the same side lengths are always congruent.

Answers

Answer:

true

Step-by-step explanation:

Two triangles are congruent if both of them have the same length of sides. Two rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.

Write the equation of a line with the slope of -7 and passing through the point (2, 2).​

Answers

Answer:

y=-7x+16

Step-by-step explanation:

y-y=m(x-x1)

y-2=-7(x-2)

y-2=-7x+14

+2 +2

y=-7x+16

There are 180 white lockers in the school. There are 3 white lockers for every 5 blue locker. How many lockers are in the school?

Answers

Answer:

There are 480 lockers in school.

Step-by-step explanation:

480

Step-by-step explanation:

180÷3=60

60x5=300

300+180=480

The marked price of an article is Rs.100. If its sold at Rs.80 , find the discount rate.

Please answer quick.

Answers

Answer:

20%

Step-by-step explanation:

Given parameters:

Marked price  = Rs. 100

Selling price  = Rs. 80

Unknown:

Discount rate  = ?

Solution:

The price on the label of an article is the marked price;

   Discount amount  = Marked price - selling price

                                  = Rs. 100  - Rs. 80

                                  = Rs. 20

Discount rate  = [tex]\frac{Discount }{Marked price } x 100[/tex]  

Discount rate  = [tex]\frac{20}{100}[/tex]  x 100  = 20%

Which inequality is true?
A. I +9< 12
B. 57 > 15
C.
6
27
:> 1
D. 41 - 2 < 10
i need help please

Answers

Answer:

B

Step-by-step explanation:

Answer:

thx for 5 points

Step-by-step explanation:

Circle A has a diameter of approximately 20 inches and an area of 314 in2 (approximately 300 in2) Circle B has a diameter of approximately 60 inches and an area of 2826 in2 (approximately 2700 in2) Circle C has a diameter of approximately 40 inches. Find the area of Circle C and explain or show your reasoning.

Answers

Answer:

1256.8in^2

Step-by-step explanation:

Step one:

Given data

Circle A

diamteter= 20 in

Area= 314 in^2 approx. 300in^2

Circle B

diamteter= 60 in

Area= 2826in^2 approx. 2700in^2

Step two:

Circle C

diamteter= 40 in

radius= 20 in

The expression for A is given as

A=πr^2

A=3.142*20^2

A=3.142*400

A=1256.8

The area of circle C is 1256.8in^2

How do I do a and b someone pls help

Answers

Pythagoras theorem a^2 + b^2 = c^2
A = x, B = x + 2, C = x + 3
(a). x^2 + (x+2)^2 = (x+3)^2
(b). Expand
X^2 + (x+2)(x+2) = (x+3)(x+3)
x^2 + x^2 + 4x + 4 = x^2 + 6x + 9
x^2 = 2x + 5
x^2 - 2x - 5 = 0

One wee, Ethan earned $391.00 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $102.00

Answers

Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

Please hurry I need this fast

Answers

C. It’s C because those are vertical angles and not alternate Interior angles

Answer:

c

Step-by-step explanation:

help pleaseeeeeeeeee​

Answers

Answer:

C.

Step-by-step explanation:

8. When is a/b equal to an integer?
B=0

B<1

B>1

B=1 or -1



50 pointa for person who answers

Answers

B=1 or -1 I think I’m not sure or it B=0

At the first track meet, Bobby threw the shot put feet. At the second track meet he threw the shot put feet.
Which of the following expressions could be used to find the distance he improved his throw from the first track meet to the second track meet?
A. 423/4 + 44 1/2
B. 42 3/4 - ( -44 1/2 )
C. 44 1/2 - ( 42 3/4 )
D. 42 3/4 - 44 1/2

Answers

Answer: it has to be D

Answer:

The Answer is D) Just did the test!!

Step-by-step explanation:

HELP! After finding area explain the reasoning you used to find the area and I’ll give brainliest!

Answers

Answer:

The answer is 180 yds squared.

Step-by-step explanation:

Segment the areas.  One area has the measurements 5 and 6. Then the other one has measurements 15 and 10. This means you get 150 + 30. The answer is 180 yds squared.

What is the equation of the line that passes through the point (4,8) and has a slope of 0?

Answers

Answer:

The answer is

y = 8

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y - 8 = 0(x - 4) \\ y - 8 = 0 \\[/tex]

We have the final answer as

y = 8

Hope this helps you

can some one help me with this please and show me how to do this?

Answers

Answer:

1.8

Step-by-step explanation:

Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them together

Number of band members beyerhighschool in Orange County

Answers

Answer:

its answer is in high school is ten

Write an expression equivalent 6x+3y-4x+2

Answers

2x+3y+2 bc you subtract 6x-4x bc they are like terms and the other terms stay the same

Please help!!!!!! ASAP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

2. m∠4 + m∠5 = 210°

3. Alternate interior angles theorem.

4. 2 × m∠4 = 210°

5. 105°

Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!

Find the 15th term of the geometric sequence 2, 6, 18,...

Answers

Answer:

          a₁₅ = 9 565 938

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]

Answer:

9 565 938

Step-by-step explanation:


Is 4 to 7 the same as 7 to 4? Explain why or
why not?

Answers

Step-by-step explanation:

4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)

4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)

Answer:

Yes.  The difference between them are the same.  Both have the same number of units between them,

Step-by-step explanation:

A rectangular lot is 20 yards longer than it is wide and its area is 2400 square yards. Find the dimensions of the lot

Answers

Answer:

120

Step-by-step explanation:

Divide 2400 by 20 to get your answer! It may be wrong

Answer:

W = 40

L = 60

Step-by-step explanation:

L = 20 + W

L*W = 2400

(20 + W)*W = 2400

W^2 + 20*W - 2400 = 0

(W + 60)*(W - 40) = 0

W = 40 (yards)

L = 20 + W

= 20 + 40 = 60

W = 40

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