Solve the system by substitution.
y = 8x – 6
y = 2x

Answers

Answer 1

Answer:

x = 1

y = 2

Step-by-step explanation:

y =8x - 6  ---------------------------------(I)

y = 2x -------------------------------------(II)

substitute y = 2x in equation (I)

2x = 8x - 6

Add 6 to both sides

2x + 6 = 8x

Subtract 2x from both sides

6 = 8x - 2x

6 = 6x

Divide both sides by 6

6/6 = x

x = 1

Substitute x = 1 in equation (II)

y = 2*1

y = 2

Answer 2
Since both equations equal to y, that would mean that both equations would equal each other. This means that the equation would turn into 2x = 8x - 6. Once you have this equation, you have to move all the terms that have the pronumeral x to the left. So, you would move 8x to the left. In order to do this, you have to minus 8x on both sides, 2x-8x=8x-8x-6. This is equation will simplify to -6x=-6. To find out what x is equal to, you then need to get rid of the -6 by dividing -6 by both sides. In the end, x should equal to 1. Then you need to find out what y is equal to. Since x=1, you can substitute it into one of the equations. Let’s use the equation y=2x. If you substitute x with 1, y should equal to 2. Now you know what y and x equals to.

Related Questions

- 7th Grade Work -

Aiden's class voted on whether or not to do science fair projects in groups. Out of 40 votes, 24 were in favor of working in groups. What percentage of the votes were in favor of working in groups

Answers

60% should be the correct answer

Find the area of a circle with diameter 16 yd.
Use the value 3.14 for it, and do not round your answer.

Answers

Answer:

do 3.14× the radius then square it

Step-by-step explanation:

radius = half of the diameter

answer is 201.06yards

What is the median of the first half of the data? (first quartile)

Answers

Answer:

$273

Step-by-step explanation:

1. Find the first half of the list (There are 8 numbers in the list, so the first four)

2. List them from least to greatest ($196, $248, $298, $379)

3. find the middle of the numbers ($248, $298)

4. Since there are 2, we find the mean of the 2 numbers ($273)

5. So the answer is $273

Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60
per month. Ken is borrowing $600 from his parents to purchase a snowboard. He plans to pay his parents back at
the rate of $20 per month. a) Write an equation that can be used to determine after how many months the boys will owe the same amount.
b) Determine algebraically and state in how many months the two boys will owe the same amount. State the
amount they will owe at this time.
c) Ian claims that he will have his loan paid off 6 months after he and Ken owe the same amount. Determine and
state if Ian is correct. Explain your reasoning.

Answers

A = 10 months

B = First part, the two equations:

Ian: y = 1000 - 60x, where x is the number of months and y is the remaining balance owed.

Ken: y = 600 - 20x.

They will be equal at 1000 - 60x = 600 - 20x

Second part: Solve the equation. Note, if you're equation is incorrect, solve it anyway because you will still get some credit!

1000 - 60x = 600 - 20x

1000 = 600 + 40x

400 = 40x

x = 10 months

y = 600 - 20(10) = 600 - 200 = $400 still owed.

C =

Solve Ian's equation for y = 0, when no money is owed.

1000 - 60x = 0

1000 = 60x

x = 16.66666.... or 17 months.

Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money.

Alternatively, six months after 10 is 16 months,

and y = 1000 - 60(16) = 1000 - 960 = 40. He will still owe $40 at 16 months, so he is not paid off.

I need help I'm confused

Answers

Answer:

it's a square so all 4 sides of perimeter equal 12 while every inside line is 6 sqrt/2

Step-by-step explanation:

there's triangles in the square that are symmetrical so each triangle has the same sides so using pythagorean theorem 6sqrt/2 ^2 + 6sqrt/2 ^2 = sqrt/C and C=12

Fill in the missing operator where the blank is.
18 _ (-20)= -2

Answers

The answer is positive 1

Answer:

26

Step-by-step explanation:

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A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? F 192 cm2 G 128 cm2 H 152 cm2 J 144 cm

Answers

A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? F 192 cm2 G 128 cm2 H 152 cm2 J 144 cm

Answer:

G

The lateral surface area of the triangular prism is 128 square centimeters. The correct answer would be an option (G) 128 cm².

What is the triangular prism?

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides.

As per the question, we have dimension are:

side legth of base  = 6 cm, 5 cm, and 5 cm

height = 8 cm

Lateral surface area = (a+b+c)h

Substitute the values and we get

Lateral surface area = (6+5+5)8

Lateral surface area = 16 × 8

Lateral surface area = 128 cm².

Hence, the lateral surface area of the triangular prism is 128 square centimeters.

To learn more about triangular prism click here:

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The missing figure has been attached below.


I have 5 paper clips, 8 push-pins and 12 erasers in my bag. Assuming that the odds for selecting paper clips, push-pins and erasers is the same, what is the probability that the item I pull out of the bag is NOT an eraser?

Answers

Answer:

the probability is 13/25

Step-by-step explanation:

5+8 = 13 and there are 12 erasers, 12 + 13 = 25. you have a 13/25 chance of not picking an eraser.

What is the definition of similarity? *
A. If two figures have the same angles, then they are similar.
B. If two figures have proportional side lengths, then they are similar.
C. If there is a sequence of transformations taking one figure to another, then they are similar.
D. If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.​

Answers

Answer:

D) If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.

$12 for 5 boxes of cereal (unit rate)

Answers

Answer: $2.40

Step-by-step explanation: 12/5 = 2.4


Correct answer gets marked brainlist!! :)

Answers

Answer:

X=6

Step-by-step explanation:

To find the area of a triangle, you have to divide the multiplication by 2. So first, you would find 6 times what is 18. 3. But since thats the FULL answer, you multiply 3 by 2. 3 times 2 is 6! So x=6!

hope this helped you!

The diameter of a circle is 4 cm. Find its area to the nearest tenth.

Answers

Pretty sure it’s 40 yep

Answer:

10 cm²

Step-by-step explanation:

The radius of this circle is half the diameter hence is 2cm

Area of a circle is pi multiplied by the squared radius, i.e

Area = πr²

= 22/7 × 2 × 2

= 12.57 cm²

The nearest 10th is 10

The length of a rectangle is 3 cm less than its width what are the dimensions of the rectangle if its area is 270 cm²

Answers

Given:

The length of a rectangle is 3 cm less than its width.

The area of the rectangle is 270 cm².

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then,

[tex]\text{Length}=x-3[/tex]

Area of a rectangle is:

[tex]\text{Area}=\text{Length}\times \text{width}[/tex]

[tex]270=(x-3)(x)[/tex]

[tex]270=x^2-3x[/tex]

[tex]0=x^2-3x-270[/tex]

Splitting the middle term, we get

[tex]x^2-18x+15x-270=0[/tex]

[tex]x(x-18)+15(x-18)=0[/tex]

[tex](x-18)(x+15)=0[/tex]

[tex]x=18,-15[/tex]

Width of the rectangle cannot be negative. So, the only value of x is 18.

[tex]Width=18[/tex]

[tex]Length=18-3[/tex]

[tex]Length=15[/tex]

Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.

How do I calculate the area

Answers

Answer:

9cm2

Step-by-step explanation:

length of two sides: 3

3 x 3 = 9

Since a square has equal lengths you know for sure that it's 3 on each of the sides since all sides are equal in a square and all sides have 3.

To get an area multiply the two different or same given lengths.

When it gives you one given length in a square know that all sides are equal so you multiply the given length by 2 times.

Answer:

9 cm squared

Step-by-step explanation:

The question asks us to find the area, and the way to find the area is in this formula:

length x width = area

Now we just have to find the length and the width of the square and multiply it to find the area.

If you count two non parallel sides, they both are 3 centimeters. So, we just have to plug that in into the formula:

3 (Length) x 3 (Width) = 9 (area)

So, 9 cm squared is our answer :)

What is the volume of this object?

Answers

Answer:

[tex] \frac{8}{25 } [/tex]

8/25 m³

Step-by-step explanation:

each cubic is 8/125 m³ because 2/5 * 2/5 * 2/5 = 8/125 m³

and there is 5 cubic in this object 5*8/125 = 8/25 m³

Please help me with the correct answer

Answers

Answer:

10

Step-by-step explanation:

c² = a² + b²

= 8² + 6²

= 64 + 36

= 100

c² = 100

c = 10

A cabin in the shape of a regular hexagonal pyramid has a slant height of 10 feet and a base edge length of 15 feet. Paint for the cabin costs $0.50 per square foot. How much does it cost to paint the lateral faces of the cabin?​

Answers

Answer:

if noblepenguin sees this, your a horrible mod. stop deleting my answers

Step-by-step explanation:

17 and 18 please no links

Answers

Answer:

Below

Step-by-step explanation:

Since all angles in a triangle add up to 180 degrees, all you need to do to find the 1 missing angle is to subtract the given values from 180.

17) 180 - 25 - 102 = 53

Angle Q = 53 degrees

18) 180 - 46 - 34 = 100

Angle E = 100 degrees

Hope this helps, good luck!

Write and equation for a parabola

Answers

Answer:

(y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2

Step-by-step explanation:

Common memory sense

A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If the company has a total of 944m2 of sheet steel available, how many storage containers can be made?

Answers

Answer:

(0.2)+(-8)=0.3+-3+0.3m

Step-by-step explanation:

a frend showed me

At the beginning of 5th grade, Stephen was 48 inches tall. At the beginning of 8th grade he was 65 inches tall.
What is the percent of increase of Stephen's height?
A. 17.00%
B. 26. 15%
C. 35.42%
D. 73.85%

Answers

Answer:

35.42%

Step-by-step explanation:

Answer:

C. 35.42%

Step-by-step explanation:

65 - 48 = 17

Since he grew 17 inches, you must figure out what percentage 17 is of 48.

17/48 = 1/100 (represents decimal)

Cross multiply: 17 ⋅ 100 = 1700 and 48 ⋅ 1 = 48

Divide: 1700/ 48

= 35.41666666666667

Round to the nearest hundredth:

= 35.42

Due at 6:00 where i live help plz plz plz HELP reward brainliest

Answers

Answer:im not sure what u mean

Step-by-step explanation:

Answer:

7. 45, 60, 75

8. id k sorry

9. 40, 135, 165

10. 15, 20

How many times does compounded quarterly a year mean?

Answers

Answer:

Interest may be compounded on all sorts of time frequencies – daily (365 times a year), monthly (every calendar month or 12 times a year), quarterly (every three months or four times a year), semi-annually (every six months or twice per year) or annually (once a year)

Step-by-step explanation:

6 in.
9 in.
What is the area of Mona's tablet screen? Enter the answer in the box.
Can someone tell me the answers I need help

Answers

Answer:

Step-by-step explanation:

Find the area of the compound figure

Answers

Answer:

62 m²

Step-by-step explanation:

6 × 7 + 5 × 4 = 62 m²

Answer:

62m squared

Step-by-step explanation:

6*2=12

10*5=50

50+12=62m squared

You start at (3, 0). You move right 1 unit and left 2 units. Where do you end?​

Answers

Answer:

2,0

Step-by-step explanation:

can someone help me with this

Answers

Answer:

13

Step-by-step explanation:

To solve the problem, you have to do A squared + B squared = C squared. So for your A and B it doesn't matter what order you put them in. We will do 12 sqaured + 5 squared = C squared. 12 squared is 144 and 5 squared is 25. By adding 144 and 25 together, it gives us 169. When we take the square root of 169, we get 13. 13 is the length of the hypotenuse.

–4x + 6x2 + 5x
A. 7x3
B. 6x2 + 9x
C. 6x2 – 9x
D. 6x2 + x

Answers

Answer:

D

Step-by-step explanation:

Because you are simplifying the equation

PLEASE HELP Select from the drop-down menus to correctly complete the sentence.The

outcome?,or sample space? or probability?

of a compound event is a number between 0 and 1? or 0 and 10? or 1 and 10?or 1 and 100?.

Answers

Answer:

The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Step-by-step explanation:

The correct answer is - The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Reason -

Probability - It is a number between 0 and 1

Sample space - All the possible outcomes of an experiment.

Outcome - One of the individual results that can occur in an experiment.

Event: A subset of the sample space

Compound event : A event with more than one outcome.

Examine the diagram, where points B, C, D, and Elie on circle A. Angle BCD measures 57°. В. C A 570 D 2019 Strong Mind. Created using GeoGebra. What is mZBED?​

Answers

Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.

∠BCD and ∠BED are subtended by the same arc BD.

Therefore, based on the inscribed angle theorem, we have:

m∠BCD = m∠BED = 57°.

m∠BED = 57°

Learn more about the inscribed angle theorem on:

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