6x - y =4 and y = 4x + 2. Solve the system and find x - 2y

Answers

Answer 1

Answer:

x = 3

x - 2y = -25

Step-by-step explanation:

Since y = 4x + 2 put (4x + 2) into the first equation in place of y:

6x - (4x + 2) = 4

To get rid of the parenthesis change 4x to -4x and 2 to -2:

6x - 4x - 2 = 4

If you combine the x’s you will now have only 2x

2x - 2 = 4

To get x by itself we add 2 to both sides

2x = 6

Divide by 2 on both sides:

x = 3

_______________________________

For the last equation (x - 2y) we put (4x + 2) in place of y again:

x - 2[4x + 2]

We know the value of x already:

3 - 2[4(3) + 2]

Now solve for the things in parenthesis:

3 - 2(14)

3 - 28

Subtract to get the answer:

-25

Answer 2

Answer:

[tex]Point Form:(1,2)\\Equation Form:x=1,y=2[/tex]

Step-by-step explanation:

Let's solve your system by substitution.

[tex]6x-y=4;y=4x+2x-2y[/tex]

Step: Solve 6x−y=4for y:

[tex]6x-y=46x-y+-6x=4+-6x[/tex]

[tex]-y=-6x+4[/tex]

[tex]\frac{-y}{-1} =\frac{-6x+4}{-1}[/tex]

[tex]y=6x-4[/tex]

Step: Substitute 6x−4 for y in y=6x−2y:

[tex]y=6x-2y\\6x-4=6x-2(6x-4)[/tex]

[tex]6x-4=-6x+8[/tex]

[tex]6x-4+6x=-6x+8+6x\\12x-4=8\\12x-4+4=8+4[/tex]

[tex]12x=12\\\frac{12x}{12} =\frac{12}{12}[/tex]

Step: Substitute 1 for x in y=6x−4:

[tex]y=6-4\\y=(6)(1)-4\\y=2[/tex]

Answer:

[tex]x=1 , y=2[/tex]

Hope this helps :)

-ilovejiminssi♡


Related Questions

i need help with this question

Answers

Answer:

1) 9/20

2) 5/11

Step-by-step explanation:

For the first question: We read the number "0.45" as "45 hundredths," and we write it as the fraction 45/100. Of course, since 45 and 100 share the common factor 5, we can reduce this fraction by dividing the numerator and denominator by 5 to get the reduced form 9/20.

For our second problem, we need to perform a bit of "mathematical surgery" to find the appropriate fraction for x = 0.454545... First, the dots tell us that this fraction is repeating - those 45s will keep going on and on forever. When we multiply x by 100, then, we move the decimal two places to the right, but the repeating part still remains, giving us

[tex]100x=45.454545\dots[/tex]

From here, we can "surgically remove" the repeating bit using our original value of x:

[tex]100x-x=45.454545\dots-0.454545\dots\\99x=45[/tex]

And from here, we just have to divide both sides of the equation by 99 to solve for x:

[tex]99x=45\\x=45/99\\x=5/11[/tex]

Answer: 4/9

Step-by-step explanation:

Can someone pls help me with this? Tysm guys! Aslo it's not C! :)

Answers

Answer:

H

Step-by-step explanation:

Plug in values of x to see which get the same values of y

1st question
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (HINT: Set up a proportion)
16 bikes
24 bikes
32 bikes

2nd question
A recipe calls for 3 sticks of butter for one batch of 20 cookies. How many sticks of butter would you need to cook 100 cookies? (HINT: Set up a proportion)
9 sticks of butter
15 sticks of butter
100 sticks of butter

Answers

Answer:

1st question: 32 bikes

2nd question: im not sure maybe 15

Step-by-step explanation:

Uhm read the highlighted. I already answered the first one (as you can tell its C) I just need help with the last one :D

Answers

Answer:

He added all the numbers as they were a decimal number, with the kilometers traveled by Bus and Car being 2 to the left than where it should have been.

How I found it:

Converting 7 and 2.3 into a decimal with the decimal place two to the left.

7 becomes 0.07

2.3 becomes 0.23

I added this to the kilometers traveled by train(which is 19.955km).

19.955km + 0.023 + 0.07 = 19.985

19.985 being the value for answer A.

Hope that helps :)

Point A(7, 3) is translated to A prime (16, negative 9). Which rule describes the translation?

Answers

(x,y) --->(x +9 , y - 12) (CREDIT TO Choixongdong)
(x,y) —> (x+9 , y-12 )

Elsa took out a 2-year loan to buy a car at a 6% simple interest rate.

A. If she has to pay a total of $264 in interest, how much principal did she borrow to pay for the car?

B. How much did she end up paying for her car altogether?

Answers

Step-by-step explanation:

P = I / rt is the formula we're going to use.

P is the principle (which is what we're solving for)

I = the interest accrued over the specified amount of time (2 years)

r = the interest rate (6%)

t = the time specified (2 years)

Change the percent to a decimal. Place the decimal two places to the left to make 0.06.

P = 264 / 0.06(2)

P = 264 ÷ 0.12 = 2,200

Principal borrowed would be $2,200

Dfryvouviuvulh I hichfhofoufof

Complete each statement.
To multiply a number by 1,000, move the decimal point ______ places to the _________.

To multiply a number by 0.01, move the decimal point __________places to the ___________.

Answers

Answer:

Complete each statement.

To multiply a number by 1,000, move the decimal point three places to the right.

To multiply a number by 0.01, move the decimal point 2 places to the left.

Step-by-step explanation:

plzzs help me with thisssssssss

Answers

add them together and equal them to 90 degree. 2x - 12 = 90, 2x = 112, x = 56

Answer:

x=51

Step-by-step explanation:

x+x-12=2x-12

90=2x-12

102=2x

x=51

plz help it's dues 15 min for 11pts

Answers

Answer: click I don’t know this yet. It’s only diagnostics, so if you click ”I don’t know this yet” it will help you learn.

Step-by-step explanation:

I need help with this I will try to give as much coins thank u

Answers

Answer:

4x and 3

Step-by-step explanation:

because the first term contains a variable and the second term does not

Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 10?

A. It is the graph of y = x translated 10 units to the right.
B. It is the graph of y = x where the slope is increased by 10.
C. It is the graph of y = x translated 10 units up.
D. It is the graph of y = x translated 10 units down.

Answers

Answer:

C

Step-by-step explanation:

since it is the slope form y = mx+b

b = y axis

so in order to go up you have to translate upwards

hope this helped ;)

I think the correct answer is C

Ned receives 27 cents in change after purchasing a video game with a twenty dollar bill. Write an equation to find the cost of the video game x

Answers

0.27+x= 20 or 20-0.27= x
20-0.27=x or it can also be 0.27+x=20

need help, please
will give brainly

Answers

Answer:

(6,9)

Step-by-step explanation:

3(2,3)

= (6,9)

Hope this helps plz hit the crown :D

6 , 9 . hope that helps

Please answer! Give explanation to and follow steps to question. Tysm!!

Answers

Answer:

It would cost about $2.38

answer: 2.37 or 2.38

The point (2, -7) is reflected across the x-axis.
What are the coordinates of the image of the point?

Answers

Answer: need more information

Step-by-step explanation: ....

The image of the point (2, -7) after reflection across the x-axis is (2, 7).

What is Reflection?

In mathematics, reflection is a transformation that flips a figure over a line or plane. The line or plane is called the axis of reflection, and each point of the figure and its image are equidistant from the axis of reflection.

We have the coordinates as (2, -7).

Now, the rule for reflection across x- axis is

(x, y) -> (x, -y)

When a point is reflected across the x-axis, its y-coordinate is negated.

Therefore, the image of the point (2, -7) after reflection across the x-axis is (2, 7).

Learn more about Reflection here:

https://brainly.com/question/15175017

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Please help me!! I really need a grade boost!!

Answers

Answer:

A) C

B) D

C) y=3x+5

Step-by-step explanation:

I think :)

ABC 123 easy like that brag

NEED HELP WITH MATH ASAP IF YOU DONT KNOW THE ANSWER THEN DONT ANSWER

Answers

Answer:

Line B, I believe.

Line B is the correct answer this is because the most dots are around it.

Hey is anyone available to answer rn? I need it quick =v=

Answers

It isn’t, because the numbers on the x are going up by 4 while the numbers on the y (x,y) are going up by 3, so it isn’t a 2:1 ratio
No because it doesn’t add up to the pattern the graph is showing

Jim surveyed the students in his school about the number of hours they watch T.V. each night. In his analysis, he stated that the range was 6 and the mean was 2. What conclusion can you draw?

A. While the typical student watches 6 hours of TV a night, the difference between the highest number of hours and lowest was 2 hours.

B. While the typical student watches 2 hours of TV, half watch less than 6 hours.

C. On average, students watched 2 hours of TV, and there was a 6-hour variation in viewing times.

D. Most students watch 2 hours of T.V. or less.

Answers

Answer:

C.

Step-by-step explanation:

Look at the possibilities

B. Hope this helps :)

Plss I need help with 25 and 26 before midnight plsss!!

Answers

Answers

25- 1 hour and 45 minutes

26- 35 minutes longer

Hope this helped!!
Also mark me brainliest please

Plz help! This is all you need and I will give brainliest.

Answers

Answer:

60 miles per hour

Step-by-step explanation:

Unit Rate: A calculation regarding mph.

420 miles in 7 hours = 7/420

Flip the equation!

420/7

420/7 = 60

60 miles per hour

HELP ASAP I"M JUST TRYING TO GET GOOD GRADES NO LIES EITHER!!

Answers

Answer:

C and D

Step-by-step explanation:

If you subtract 2.5 from 16.2 you would get 13.7 same for 19.25.It would then equal 16.75

Therefore C and D are correct :)

Can u please help me

Answers

Answer:

-3268

Step-by-step explanation:

just plug in the answer.

It’s 3268 hopefully this helps you!.:;))

please help i need help fast ASAP and please don't answer for the points

Answers

Answer:

area of a circle

= pi r square root

=3,14 x 5 x 5

=3,14 x 25

=78.5cm

2n question

= pi r square root

=3,14 x 7 x 7

=3,14 x 49

=153,86ft2

3rd question

C= pi d

C=3,14 x 10

C=31,4cm

4th question

C=pi d

C= 3,14 x 14

C=21,98ft

Step-by-step explanation:

Hope this helps!

What the person above me said

please help me on this

Answers

Answer:    m=2.8

Step-by-step explanation:

You can reverse the equation and instead solve...

4-1.2 which equals 2.8.

m=2.4  

Answer:

m = 2.8

Step-by-step explanation:

m+1.2=4

move all terms containing m to the left and all other terms to the right.  

+1m=+4-1.2

simplify left and right side of the equation.  

+1m=+2.8

divide both sides of the equation by 1 to get m.  

m=2.8

Giving brainliest for this one !!
( whoever answers the fastest and has a correct answer )

Answers

It’s cartooop Escobar
cyciy gixgogxigyivhcohcgo

A room in your house is 2 3/5 inches long on a scale drawing. If the map has a scale of 1 inch = 5 feet, how long is the actual room?

Answers

Answer:

10 7.2 inches long

Step-by-step explanation:

:)

Answer:

10 7.2 inches

Step-by-step explanation:

:( jk jk :)

Eddie watches a drawbridge rise at a constant rate. It takes 112 minutes for the drawbridge to rise to 13 of its total height. Eddie predicts that it will take a total of 416 minutes for the drawbridge to reach its full height. Is he correct?

Answers

Answer:

sure it isssssssssssssss

No because final height isn’t given.

Eleven Fahrenheit temperatures are shown on a map during a weather report. When the temperatures are ordered from least to greatest, the middle temperature is below 0F. Do you know exactly how many of the temperatures are represented by negative numbers? Explain.

Answers

Answer:

Yes, in order for zero to be the median, there must be 5 negatives, and 5 positives.

Step-by-step explanation:

That’s not nesseraly, you could have three temperatures at 0F, unless it states that all the temperatures are different degrees

Find all solutions to the equation $x^2 - 7x = 30$. If you find more than one, then list the values separated by commas. If the solutions are not real, then they should be written in $a + bi$ form.

Answers

Answer:-3, 10

Step-by-step explanation:

Subtracting 30 from both sides gives x^2 - 7x - 30 = 0. The quadratic factors as

(x - 10)(x + 3) = 0, so the solutions are x = 10 and x = -3.

Instead of factoring, we also could have applied the quadratic formula with a = 1, b = -7, and c = -30:

The solutions to the equation x² - 7x = 30 are -3 and 10.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x² - 7x = 30

x² - 7x - 30 = 0

Middle-term factorization.

x² - (10 - 3)x - 30 = 0

x² - 10x + 3x - 30 = 0

x(x - 10) + 3(x - 10) = 0

(x + 3) (x - 10) = 0

x + 3 = 0

x = -3

x - 10 = 0

x = 10

Thus,

The solutions are -3 and 10.

Learn more about solutions of equations here:

https://brainly.com/question/545403

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