Mathematics High School

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

Answers

Answer 1
To solve with Elimination:

Write the equations under one another, like this:

2x - y = -1
+ 3x + 4y = 26

Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.

If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!

4( 2x - y = -1)
+ 3x + 4y = 26

Be certain to Distribute across the entire first equation, so multiply all three terms by 4.

8x - 4y = -4
+ 3x + 4y = 26

Now add straight down (vertically). The y term will be eliminated.

11x = 22

Divide both sides of the equation by 11.

x = 2

Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.

3x + 4y = 26

3(2) + 4y = 26

6 + 4y = 26

Subtract 6 from both sides of the equation.

4y = 20

Divide both sides of the equation by 4.

y = 5

That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).

Related Questions

What is the slope of line a?

-1/3 3 -3 1/3

Answers

I do believe it’s -1/3
If I’m correct mark me brainliest pls
Answer: 1/3

Explanation: The slope is the rise over run, to find the slope you have to count the rise which is the numerator of the slope in this case it is 1 and the run is the denominator in this case it is 3. The reason the slope is positive is because the line is going up.

Hope this helps

I’m so confuse pls help me

Answers

B it’s b I am pretty sure it’s bbbbbb

ANSWER THESE TWO QUESTIONS CORRECTLY TO BE MARKED BRAINILEST

Answers

Answer:

In this example, if you buy an item at $18.99 with 25% discount, you will pay 18.99 - 4.7475 = 14.24 dollars.

Step-by-step explanation:

plz help me



The container below contains 2 gray. 1 white, and 4 black marbles. Without looking, if Eric chooses a marble from the container will the probability be closer to O or to 1 that Eric will select a white marble? A gray marble? A black marble? Justify each of your predictions.​

Answers

Step-by-step explanation:

Probability of Grey ball = 2/7 or 0.285. It is closer to 0

Probability of White marble = 1/7 or 0.142. It is closer to 0

Probability of Black marble = 4/7 or 0.571. It is closer to 1

Could you help me with this?

Answers

1st is B 2nd one is A

Monica received a score of 12 or 20 points on their test, what percent did they get correct

Answers

Answer: 60%

Step-by-step explanation:

12/60=0.6

0.6*100=60

Answer:

60%

Step-by-step explanation:

12÷20=0.6

0.6×100=60

cuanto es 5 + 2d = 9​

Answers

Answer: d=2

Step-by-step explanation:

Given

5+2d=9

Subtract 5 on both sides

5+2d-5=9-5

2d=4

Divide 2 on both sides

2d/2=4/2

d=2

Hope this helps!! :)

Please let me know if you have any questions

D would equal Two (2)

find the slope of the line

Answers

Answer:

Number 7 is 3/4 and 8 is 4/-3

Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run

Number 7 is 3/4 and 8 is 4/-3

5.


Identify the mapping diagram that represents the relation and determine whether the relation is a function.

{(–3, –6), (–1, –6), (5, –6), (8, –6)}

Which of the following is true?


A. choice a.


B. choice d.


C. choice c.


D. choice b.

Answers

Answer:

The answer is D. choice B. The coordinate point CAN share the same y point but, CANNOT share the same x point

Step-by-step explanation:

For all values of x, y = - 6

Your function:

y = - 6

Help me please !!!



And thank you

Answers

Answer:

804.4

Step-by-step explanation:

the formula for the volume of a cube is the side length cubed,

so:

(9.3)(9.3)(9.3) = 804.357

then round it to 804.4

hope this helped!


Which would be the correct answer?

Answers

Answer:

the third answer

Step-by-step explanation:

hope it helps

Enter the value for x that makes the equation ž (4x – 8) + 3x = 36 true.​

Answers

X=44/7

Step-by-step explanation:

4x-8+3x=36

7x-8=36

7x=36+8

7x=44

X=44/7

write the recurring decimals as fractions 0.15 and 0.369​

Answers

Answer:

0.15 = 3/20. 0.369= 369/1000.

Miguel is reading a 338-page book. In the first 40 minutes he spends reading, he reads 52 pages. If he continues reading at the same rate, how many minutes will it take him to read the entire book?

Answers

Answer: 260 minutes.

Step-by-step explanation:

This represents the ratio between the minutes he reads and the pages he reads: 40 : 52

The book Miguel is reading is 338 pages long. Miguel also reads 52 pages in 40 minutes. You can divide 338 by 52, which is equal to 6.5.

If it takes Miguel 40 minutes to read 52 pages, then we can multiply that by 6.5. 40 x 6.5 = 260.

In conclusion, it will take Miguel 260 minutes to read the entire book, or 4 hours and 20 minutes.

Answer:

260 minutes

Step-by-step explanation:

40:52

x:338

338*40=52x

13,520/52

260:338

Solve the equation 1/x + 1/3x =4

Answers

Answer:

4/3x

Step-by-step explanation:

Answer:

the answer is 1/3

Step-by-step explanation:

3(2x+6)
Distributive Property

Answers

Answer:

6x+18

Step-by-step explanation:

Multiply 3 to all the numbers on the parenthesis

Hope this helps!

It would be 6x+18
basically what you do is 3•2x+6•3. The dot means to multiply if you didn’t know.

PLZZ HELPP is this positive negative or zero

Answers

Answer:

positive to zero because its above the zero

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

Because any two positive equals a positive

Negative equal positive

Two unlike sign become a negative

so positive 0.5 + negative b= Negative

Which value of x makes the value of the expression x - 11.5 a negative number?

Answers

Answer:

11

Step-by-step explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.

5. The area of the rectangle shown is 16.8 square inches. (Formula: A-bh)
6 in
b
What is b, the length of the base of the reclange in inches
Just the answer plz

Answers

Answer:

55

Step-by-step explanation:

add and subtract so it can be equivlant to the rectangle's area

what is the answer please help me

Answers

Answer:

e/g

Step-by-step explanation:

It's e/g cosine is always the adjacent side divided by the hypotenuse

Help 7th grader :) plzzz :3

Answers

30/12 is 2.5
The scale factor is 2.5
16x2.5 is 40
Side PQ is 40 inches

Everything is on link

Answers

Y=5x-6
-6 is where it hits the y-axis
And I got the five from counting where it hits through the graph perfectly

Help me plssssss I need help

Answers

hey it’s 129 because you have to multiply all of the numbers listed. brainlist would be much appreciated i hope your day is perfect because you are. :)

Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Scale factor: 2:1
14 in
D
17 in
Scale drawing
Object
A. Side a is 8.5 inches long and side bis 7 inches long,
B. Side a is 15 inches long and side bis 12 inches long,
Ο Ο ОО
C. Side ais 19 inches long and side bis 16 inches long,
D. Side a is 34 inches long and side bis 28 inches long,

Answers

Goooo but it’s b and it’s 17 in

Answer:

It is A

Step-by-step explanation:

I got it wrong because of the other guy and I got to see the answer.

can someone please help me​

Answers

9514 1404 393

Answer:

  $24,670.42

Step-by-step explanation:

Assuming interest is compounded, the account value is multiplied each year by (1 + 8.25%) = 1.0825. After 25 years, the account value is ...

  $3400·1.0825^25 = $24,670.42

20% of _ =240?
130 of _ =117?

Answers

Answer:

1. 48

2. 152.1 ❤️❤️

which number is less than 909 and greater than 868​

Answers

Answer:

There is multiple answers.

869-908

Step-by-step explanation:

869-908 is less than 909, but greater that 868.

1.
A bucket is put under a leaking ceiling. The amount of water in the bucket doubles every minute. After 8 minutes,
the bucket is full. After how many minutes is the bucket half-full?
I

Answers

Answer:

4min

Step-by-step explanation:

half full = 4min. disregard the doubles every min.

Answer:

7 minutes

Step-by-step explanation:

CAN SOMEONE PLEASE CHECK MY ANSWER!!!!!

Answers

YUHWHSJSBS THE ANSWER IS !!

Answer:

It is not correct, but very, very close, so great job!!

Step-by-step explanation:

When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.

The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.

as part of a fundraiser a local charity has sold 10 raffle tickets with a goal of selling 60 tickets what percentage of the goal has been sold

Answers

Answer:

6

Step-by-step explanation:

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