Mathematics Middle School

Solve the system of equations by substitution.

-8x+2y=4
y=4x+2

Answers

Answer 1

Answer:

the answer by substitution would be y = 4x+2

Answer 2

Correct answer: Infinite solution because 2 = 2.

Set the first equation equal to y.

-8x + 2y = 4

+8x          +8x

___________

2y = 8x + 4

__   ___  __

2      2     2

y = 4x + 2

At this step, you can choose any equation to substitute into the other equation. However, I'm going to substitute the new first equation with the second equation where y is. Solve for x.

y = 4x + 2

4x + 2 = 4x + 2

-4x        -4x

____________

2 = 2

So, at this point, we know the system of equation does not have one solution. Thus, when the same number equals the same number, it is an infinite solution.

We can prove this by an online graphing tool. Insert the two equations onto the online graphing tool. If the lines appear to be on the same line, they have infinite solutions. Hope this helps :) Let me know if you have any questions related to this problem!

Related Questions

I need help.
I did the first question for you guys.
20 points.

Answers

I can’t see the photo ?

The difference between 9 times a number and 5 is 40. Which of the following equations below can be used to find the unknown number?

Answers

Where is the picture
I don’t see any choices, but who cares? It would be 9x - 5 = 40

PLEASE HELP!!!!!!! THIS IS TIMED!!! SOMEONE HELP ME PLEASE!!!!!!

Answers

The Answer should be : a

Find the length of y in feet. (Similar angles or sides, I think)

Answers

Answer:

y = 8 ft

Step-by-step explanation:

By the midsegment theorem; QS or y = [tex]\frac{1}{2} (PO)[/tex]

y = [tex]\frac{1}{2}(16)[/tex]

y = 8

Hope this helps!

Determine if the value of each expression is greater than 1 1 or less than 1 1. Select from the drop-down lists to complete the table.

Answers

Answer:

The first one is greater than 1.

The second one is less than 1.

The third one is greater than 1.

The fourth one is less than 1.

The fifth one is less than 1.

Find the surface area of the prism

Answers

Answer:

Hello! answer: 288

Step-by-step explanation:

To find surface area you have to do base × height for each face then add them up so.....

40 + 40 + 64 + 64 + 40 + 40 = 288 Hope this helps!

Solving a Real-World Problem
An icicle is in the shape of an inverted cone with a diameter of 12 millimeters and a height of 100 millimeters. How much frozen water is in the icicle? Round to the nearest hundredth.

Cone V = one-third B h

638.32 mm3
1,256.64 mm3
3,769.91 mm3
15,079.64 mm3

Answers

Answer:

3,769.91 mm3

Step-by-step explanation:

A group of health care workers were asked how many times per week they visited a gym. The data is shown on the dot plot. Select the statements that are correct.

Answers

Answer:

I wouldn't trust this, it I guess it doesn't hurt to try?

Step-by-step explanation:

B, D, are correct (I think)

helpppppppppppppppppppppp

Answers

Help we need help!!!
It should be G because G is a number

8(6/3)
8(2)
16

While the others have variables needed

giving deserved thank yous, ratings, and brainliest. The topic is dot plots

The owner of the car dealership decides to treat the value of 22 as an outlier. Which measure of center is affected the most if the owner removes this outlier? Why?

Answers

Answer: 18

Step-by-step explanation:

Answer:

the mean values of cars from a dealership is $5000 dollars with a deviation of $500. the data has a bell shaped distribution. estimate the percentage of cars whose values would be between $4000 and $5000.

Step-by-step explanation:

A hamburger costs 30¢ more than a hot dog and 20¢ less than a cheeseburger. If 3
hamburgers cost 75¢ less than 2 hot dogs and 2 cheeseburgers, how much does a
hamburger cost?

Answers

Let h be the price of a hamburger, d be the price of a hot dog and c be the price of a cheeseburger
3+d=h —(1)
c-20=h —(2)
3h=2d+2c-75 —(3)

Sub (1), (2) into (3)
3h=2(h-3) + 2(h+20) -75
3h =2h-6+2h+40-75
3h=4h-41
h=41

Therefore, the price of a hamburger is $41
The price of the hamburger is 41

Anyone with a knee injury or any doctor! What does it mean if my knee popped locked up all in like 1.5 seconds and then it now hurts to bend but not alot and i can wiggle my kneecap like a lot. This is the 2nd time in like 7-9 months! Please help! Comment if there is no more answers left!

Answers

Answer:

Knee pain can have causes that aren't due to underlying disease. Examples include heavy physical activity, lack of use, injuries such as sprains or strains, sitting in a constrained area, or sitting on knees for a prolonged period.

Step-by-step explanation:

possibly Chondro malacia

Damage to the cartilage under the kneecap.

Symptoms may include

Knee pain

Cracking joints

Swelling of the knee

Please go to your doctor...ik it hard with cov id and everything

It could be hereditary, or it could just be a weak muscle. I have knee problems. If it’s just your knee cap that is dislocating you can do simple exercises to strengthen the muscle around it to hold it in place. If it’s your actual knee you should get it checked out to see if there is anything else going on. If it continues and there’s nothing “wrong” they’ll have you do physical therapy. When this dislocation happens, keep your knee up above your heart and ice it. After you pop it back on. And take pain relief. Wear a knee brace as well

Omg please please help!!!!

Answers

Answer:

4

Step-by-step explanation:

There are 4 x's above the 7/8 marker, therefore the answer is 4

Answer: it's 4.

Step-by-step explanation: x=1 so 4 x's is 4 flowers that are 7/8 inches

Uhhh help pls :D.....

Answers

He needs 3 boxes.

He has 7 friends and they each get 4 cookies so
7x4=28

If each box has 12 cookies then you can divide the amount of cookies you need by the amount in each box and get
28/12=2.333...

And since we don’t want to leave any of his friends cookieless we need to round up to 3 boxes

NO LINKS I REALLY NEED HELP

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

because its -3 at 0 and its increasing by 1/2

it should be the last answer, you can tell 0 is -3 but when it starts going to 2 the negative number lessens

which property is demonstrated below
b(c+d)=(bxc)+(bxd)

A) inverse property
B) distributive property
C) commutative property
D) identity property


pls no files, just answer

Answers

B! Distributive property covers how you can ✨distribute✨ a multiplying factor within an equation. It makes the process simpler to look at, and easier to understand :)
B i s t h e a n s w e r

Figure A is a scale image of Figure B.

What is the value of x?

Answers

Answer:

18

Step-by-step explanation:

figure A has a relationship of 12:6 or 2:1. Applying this to figure B will give u 18 since 9 times 2 is 18

Answer:

18

Step-by-step explanation:

Which number line shows the graph of x≤6
?

Answers

Answer:

C

Step-by-step explanation:

There is a line under the "<" sign which means that "x" can be equal to 6. The arrow going left shows that x is less than 6 and the dot being shaded mean that 6 can be an answer so the number line C is the answer. Hope this helped:)

The required number line that shows the expression x ≤ 6 is figure C. Option C is correct.


What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The expression x ≤ 6 implies that the domain of the x is a set of a real number less than and equal to 6, so all values represented on the number line below and equal to 6 is bold dark.

Thus, the required number line that shows the expression x ≤ 6 figures C. Option C is correct.

Learn more about number line here:

brainly.com/question/17683084

#SPJ2

All tabby cats in Imagineville have white paws. A female cat in Imagineville has white paws. Which of the following must be true?

Answers

A
A
A
A
A
A
A
A
A
A
A
A
A

A
A
A
A
A
A
A
A
A
A
The answer to this question is A

What is the circumference of a circle with a diameter of 10 inches?

Answers

Formula for finding circumstance is…
C= πd
C= 3.14 x 10
C= 31.4

Or on a calculator, you can use the pi button to get a more accurate result.

Hope this helps!

What is the median of this data set?

18, 16, 22, 14, 17, 19, 15, 19, 22

16

17

18

19

Answers

Answer:

17

Step-by-step explanation:

hello see my questions and Jo in

18
median is the middle number when in order

please help PLEASE PLEASE !!!!
determine the area of the composite figure
14in
10in
8in

*it wont let me add the pic *

Answers

Answer:

39.19184 Units^2

Step-by-step explanation:

Assuming it is a triangle using area of oblique triangles; A = 1/2(a)(b)sin(C)

Find the distance between A and B.

Answers

Answer:

C

Step-by-step explanation:

distance formula

The answer is D. 10 units.

Which sample has a greater variability, or spread?

Answers

Answer:

The orange sample

Step-by-step explanation:

The higher the interquartile range the bigger the variance as it the difference between the 0.25 and 0.75 quantiles which basically means if the difference between the 25 percent and 75 percent is higher then there is more variety as they are further away

Would be amazing if you marked brainliest and feel free to comment any follow up questions :)

JEJDJEJDjejzjejzjjs yea because

Please Help! Due in 1 hour

Answers

Step-by-step explanation:

Between 2 and 3 :-

240÷90, 170÷60, 170÷70

Between 3 and 4 :-

250÷80, 140÷40, 110÷30

pls help me i cant move on if i dont answer this

Answers

Answer:

The answer is 343cm^3

Step-by-step explanation:

Hope this helped you have a great day!

again im sorry- only a few more questions and I can chill though xD

Answers

Answer:

X might be 25 I am SOOOO sorry if im wrong.

Step-by-step explanation:

X=354

Explanation- Quadrilaterals add up to 360 degrees, so add up all sides, which equals 6, then subtract 6 from 360; which now equals x=354.

Hope this helps, sorry if I am wrong. Have a nice day, and good luck.

There are 4 black cars, 3 blue cars, and 8 red cars in the hot wheels case. What is the probability of randomly choosing a car that is not blue? Which car is twice as likely as the black car to be chosen?

Answers

12/15 is the probability of not getting blue randomly.

Meanwhile red is the car that’s twice more than black.

I hope I’m correct ^^

The price of a sweater was reduced from $25 to $10. By what percentage was the price of the sweater reduced?

Answers

i think it’s .. 2.5% ? 25 divided by 2.5 is 10.
I believe it is 60% you do 25 times 0.6 which is 15. Then 25 minus 15 is 10

Can someone help me answer this!

Answers

Answer:

1) 1512 cubic inches 2) 54 cubic feet

Step-by-step explanation:

The first one is calculated like so: first you subtract 9 from 15 which is 6 to get the height of the empty bit, then you multiply 6 by 18 and 14 to get the volume and the answer is 1512 inches squared

For the second you split into two pieces the first one has side lengths 2, 3 and 2 so the volume is 12 and the second has side lengths 7, 3, 2 so its volume is 42 finally you add them to get 54 cubic feed

Would be amazing if you marked brainliest, feel free to ask any follow up questions :)

Answer:

Here is the answer to your question!

Step-by-step explanation:

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