What would be the best method to solve
the system of equations below?
6x + 3y = 21
2x – 3y = -13

Answers

Answer 1
I would change 6x+3y=21 to y=-2x+7.
You can isolate the y value by subtracting the x to the other side. All the numbers have 3 in common, so you need to divide all of them by 3. I would then substitute the new equation into the 2x-3y=-13, making it 2x-3(-2x+7)=-13
You wove the equation, and once you get your x value, you needles to substitute it in the equation: y=-2x+7
The final answers will be x=1 and y=5
What Would Be The Best Method To Solvethe System Of Equations Below?6x + 3y = 212x 3y = -13
Answer 2

Elimination method is the best method to solve the system of equations below

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations

6x + 3y = 21...(1)

2x – 3y = -13...(2)

Add equations (1) and (2)

6x+3y+2x-3y=21-13

8x=8

Divide both sides by 8

x=1

Now plug in x value in equation 1

6+3y=21

Subtract 6 from both sides

3y=15

Divide both sides by 3

y=5

By Elimination method we find the values of x and y.

Hence, Elimination method is the best method to solve the system of equations below

To learn more on Equation:

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Related Questions

i really need help please help me

Answers

Answer:

5.667 yards of fabric was used to make a cape

Step-by-step explanation:

(Total Yard of Fabric)1/3 = (What's Used)

Total Yard Fabric = 17

What's Used = x

1 third = 1/3

(17)1/3 = x

x = 17/3 or about 5.667 yards of fabric used

Double Check:

5.667/17 = 0.3334 which is about 1/3

If you want to find how much he has left:

1 - 1/3 = 2/3

17(2/3) = x

x = 34/3 or about 11.333 yards of fabric left.

Double Check:

11.333/17 = 0.6666 which is about 2/3

Identify the model that shows 2 items being divided equally among 3 people. How much will each person have?

Answers

Based on the question, each person will have 2/3 of the item

Ratios and Proportion

From the given information, we are told that 2 items are being divided equally among 3 people. This can be expressed as:

2 items = 3 people

For each person;

x = 1 person

Take the ratio to have:

2/x = 3/1

3x = 2

x = 2/3

This shows that each person will have 2/3 of the item

Learn more on ratio here: https://brainly.com/question/2914376

Answer:

2/3  

Step-by-step explanation:

The yellow one with red.

Write two division expressions that have the same value as 36.8 divided by 2.3 (16)

Answers

Answer:

64 divided by 4=16

144 divided by 9=16

Step-by-step explanation:

i urgently need help!!!!!

Answers

Answer:

I cant get the pic

Step-by-step explanation:

Can you guys help me with the second one please :( .
I’ll mark you as a brainliest

Answers

Answer:

x=30° y=150°

Step-by-step explanation:

The inside angles of a triangle always add up to 180. So 65+85+x=180. x would equal 30. Next a line is always 180 degrees. So to two angles on the line must total to 180 degrees. We know x is 30 degrees, so y is the remaining angle. 30 + y = 180. y is 150.

Answer:

x=30° y=150°

Step-by-step explanation:

The difference of a number and eight is equal to 14.

Answers

"A number" means the unknown.

"Difference" means to subtract.

We already know two numbers, 8 and 14, but we don't know "A number."

We can put v as our variable. You can put any type of letter.

Therefore, the answer is: v - 8 = 14

Someone help with this please

Answers

i think it’s A but i’m not for sure but i think so but sorry if i’m wrong

Joey is 5 feet tall and casts a 45-foot shadow. A building casts a 270-foot shadow at the same time. How tall is the building?

HELP FOR POSSIBLE BRAINLIEST

Answers

Answer:

the building is thirty feet tall

Step-by-step explanation:

so make a ratio of shadow to joey

5:45

simplify that to

1:9

so you can now divide 270 by nine

30

the building is thirty feet tall

derek tried to dilate the isosceles trapezoid abcd with the center of dilation at the origin with a scale factor of 2. check his work and complete the statements

the slope of ac is ___
the slope of eg is ___
the polygons are not dilation of each other because ___

Answers

Answer: 4,2 the corresponding sides are not parallel

Step-by-step explanation:

can someone please help me

The measure of the angle formed at the center of anoxygen atom in a water molecule is about 105. The angles formed at each hydrogen atom are congruent. What is the size of the angle at each hydrogen atom?​

Answers

Answer:
I believe that the remaining angles are both 37.5 degrees.

Explanation: The sum of the interior angles of a triangle equal 180 degrees. 180-105= 75. The two remaining angles are congruent. So 75 divided by 2 gives the measurement of each angle. Please tell me if I am correct.
All 3 angles = 180...if one angles measures 105, the other 2 have to add up to 75. Since they told us the other to angles are the same (“congruent”), divide 75 into 2 equal parts...75/2=37.5.
So the measure of the other 2 angles are both 37.5

Use addition to solve the
Ix-y=6
ly=x-4

Answers

Answer:

Ix-y=6, Ly=x-4

Step-by-step explanation:

At what value of x does the graph of the following function F(x) have a vertical asymptote?

Answers

B. 3

__________________

I need help with this

Answers

8/9 divided by 2/3 is 1 1/3

can some one help me plz!!!
i am marking brainlyest

Answers

Answer:

its a or c

Step-by-step explanation:

Perform the following operation and express the answer in scientific notation. 6.900x1010 = 4.000x108 [?]x10 Coefficient (green) Exponent (yellow) Enter​

Answers

9514 1404 393

Answer:

  1.725×10²

Step-by-step explanation:

Your calculator or a spreadsheet can format the result of this division in scientific notation for you.

For the powers of 10, the applicable rule of exponents is ...

  (10^a)/(10^b) = 10^(a-b)

__

  [tex]6.900\times10^{10}\div4.000\times10^8=\dfrac{6.9}{4}\times10^{10-8}\\\\=\boxed{1.725\times10^2}[/tex]

How long will it take for $1,000 to double at a simple interest rate of 5.5%

Answers

Answer:

12.63

Step-by-step explanation:

The distance from your home to the school is 4 9/10 miles. From your house to the pool is 3 1/2 miles. How much farther are you from the school than from the pool?

Answers

4 9/10 - 3 1/2
4 9/10 - 3 5/10= 1 4/10 = 1 2/5 miles =1.4 miles
I agree with the person who answered first.

X-5 = -4
i’ve been trying my best

Answers

Answer:

x = 1

Step-by-step explanation:

1 - 5 = -4

Answer:

x = 1

Step-by-step explanation:

x - 5 = -4 *add 5 to both sides*

x = 1

hope this helps!

1 point
Captionless Image

Answers

Answer:

uhhh ok

Step-by-step explanation:

Answer

That's simple the answer is  

Step-by-step explanation:

Marissa is 7 years older than Mark. The sum of their ages is 59. How old are Marissa and Mark?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is __________
Answer: Mark is ___________
and Marissa is ________

Answers

mark is 26=x and marissa id 33

if you take 59 take away 7 you get 52

then you wil devide 52 and get 26

you will use the 7 you took out earlier and add it to one of the 26 which will give you mark(26=x) and marissas(33) age .

What set of numbers could be the side lengths of a right triangle ?

Answers

Answer:

I think it's A 3,4,6 could be the length of the triangle

Explain the difference between an x and a y-intercept.

Answers

Step-by-step explanation:

so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right

There are 16 cats and 14 dogs in a local animal shelter.

Which phrase describes a ratio relationship between the two quantities?



the number of dogs in the shelter compared to the number of rabbits in the shelter

the number of dogs in the shelter compared to the number of cats in the shelter


the number of cats in the shelter compared to the number of cats in the shelter

the number of cats in the shelter compared to the number of dogs in the neighborhood

Answers

I already answered on your other post on the same question, your answer is option B!

Jaden is flying a kite and let’s off 275 feet of string. If the kite is 150 feet above ground and assuming the string is straight, what angle does the string make with the ground, to the nearest degree?

Answers

Answer:

≈ 33°

Step-by-step explanation:

So, first, you can draw a visual. Refer to the image attached below:

Using this info, you can use trigonometric ratios. Recall that:

tangent = opposite side/adjacent side

sine = opposite side/ hypotenuse

cosine = adjacent side/hypotenuse

You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.

So:

[tex]sinX = \frac{150}{275}[/tex]

However, we're not trying to find sinX, we're trying to find X.

So we would have to use inverse sine, which would then be:

[tex]X = sin-1 (\frac{150}{275} )[/tex]

Put this into your calculator, and:

X ≈ 33.05573115...

2. How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can he make, and how many cookies will be in each bag? Find all the possible ways to package the cookies.
:

Answers

Divide 64 by multiple numbers, and if they divide evenly that’s how many will be in each bag for the number of bags (number you divided by). For example, dividing 64 by 8 (bags) would be 8 cookies in each bag. You can do this with multiple numbers as long as it goes in evenly

5 x (h + 3) for h = 7 dose anyone know the answer to this?

Answers

Answer:

50

Step-by-step explanation:

5* ( 7+3)

5* 10

50.

.so the answer is 50

Answer:

50

Step-by-step explanation:

5 x (h + 3) = 5 x (7 + 3)

= 5 x (10)

= 50

PLEASE PLEASE HELP MEE!!

Answers

Answer:

The equivalent functions are;

[tex]g(x) = 3^{-2 \cdot x }[/tex]

[tex]g(x) = 9^{-x}[/tex]

[tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]

Step-by-step explanation:

The given function is f(x) = (1/3)^(2·x)

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex]

The given  function can be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = 3^{-1 \cdot2 \cdot x } = 3^{-2 \cdot x } = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡  [tex]g(x) = 3^{-2 \cdot x }[/tex]

2) The given  function can also be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = (9^{-1}) ^x} = 9^{-1 \times x} = 9^{-x} = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = 9^{-x}[/tex]

3) The given  function can also be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]

what is the answer for y=mx+b

Answers

Answer:

I believe it is slope

Step-by-step explanation:

If 4 cats enter a room and 3 leave how many monkey are in the water?

Answers

Answer:

1 monkey because it ate one of the cats

Step-by-step explanation:

Answer:

3 cats in 3corners

Step-by-step explanation:

the question is incorrect the correct question is  IN A SQUARE ROOM THERE ARE 4 CATS IN EVERY CORNER?

Hey there !!!!

If you read that there are 4 cats in the room and in front of each cat is another 3 cats, then it might lead you to the answer of 16. This is not correct.

You will have reached this answer if you assumed that there was 3 cats in front of every cat in the corner. That would mean 4 cats in every coner.

You can reach this answer by dissecting each statement in the riddle. The first statement, “In a square room there are 4 cats in every corner of the room,” then we know that the room is square with 4 corners and that there are 4 cats to begin with.

The second statement of the riddle reads “In front of each cat there are 3 cats.” As we already know from the first statement that there are 4 cats in the room, each cat will see the other 3 cats in the other 3 corners of the room.

hope it helped

A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?

Answers

Answer:

I'm pretty sure it is 85 feet

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