Solve the system of linear equations in two variables by elimination or substitution.

4x+ 3y=2

2x-3y=1

Answers

Answer 1

Answer:

( [tex]\frac{1}{2}[/tex], 0 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 2 → (1)

2x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the y- term, that is

6x = 3 ( divide both sides by 6 )

x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and evaluate for y

Substituting into (1)

4([tex]\frac{1}{2}[/tex] ) + 3y = 2

2 + 3y = 2 ( subtract 2 from both sides )

3y = 0 ⇒ y = 0

Solution is ( [tex]\frac{1}{2}[/tex], 0 )


Related Questions

-1/5b - 2/5 = -2

pls hurry i need to show my work!

Answers

Answer:

Step-by-step explanation:

Answer:

b = 8

Step-by-step explanation:

- [tex]\frac{1}{5}[/tex] b - [tex]\frac{2}{5}[/tex] = - 2 ( multiply through by 5 to clear the fractions )

- b - 2 = - 10 ( add 2 to both sides )

- b = - 8 ( multiply both sides by - 1 )

b = 8

Help please im not good at math

Answers

For the blank box you esitmate shoud be 267.

267 is the answer for that

The ratio of 3 L milk to 800 ml of water is,

Answers

Step-by-step explanation:

You start with milk : water = 7 :3

Total volume = 800 mL

Volume of milk = 7/10*800 = 560 mL

Volume of water = 3/10*800 = 240 mL water

Volume of milk must remain constant at 560 mL which is 2 parts

Therefore 3 parts water = 3/2*560 = 840 mL water final volume

You need to add 840 mL - 240 mL = 600 mL water .

Hope it helps

:DD

The scatterplot shows the height in centimeters and weight in kilograms of several students. Student Weight and Height, Height, centimeters, weight, kilograms Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

Answers

The scatterplot shows that the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm.

What is a scatterplot?

It should be noted that a scatterplot simply means a type of data display which shows the relationship between two numerical variables.

From the complete question, the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm. This was illustrated in the scatterplot.

Learn more about scatterplot on:

https://brainly.com/question/6592115

It takes Manisha 38 seconds to climb up the stairs of her house. If she spends 504 seconds doing this, how many minutes has she spent climbing the stairs of her house in a week?​

Answers

Answer:

Manisha spent 8 minutes and 24 seconds in a week climibing the stairs of her house.

Step-by-step explanation: (totally my work, not copied)

Convert seconds to minutes.

60x8=480

60x9=540

so, 8 minutes

Find the remaining seconds.

504-480=24

Add remaining seconds to minutes

24sec+8min=8min24sec

So hence, your answer is 8 Minutes and 24 Seconds

Manisha spent 8 minutes and 24 seconds in a week climbing the stair of her house.

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

A researcher weighed cantaloupes grown across a certain
region. The data are rounded to the nearest pound and
displayed in this histogram.
What does the third bin represent?
Select from the drop-down menu to correctly complete the
statement.
Eight cantaloupes weigh

A. at least 4lbs but no more than 6lbs
B. at least 4lbs but less than 6lbs
C. more than 4lbs but no more than 6lbs
D. more than 4lbs but less than 6lbs

WILL TRY TO GIVE BRAINLIEST

Answers

Answer:B At least 4 pounds but less than 6 pounds.

Step-by-step explanation:

Using histogram Option: D more than 4lbs but less than 6lbs is correct.

What is histogram?

Histogram is virtual way to "display frequency data using bars and graphical representation of grouped frequencies".

According to the question,

A researcher weighed cantaloupes grown across a certain region the weight of cantaloupes and frequency is given in the histogram.

In order to find the third bin representation see the histogram's third bar it shows weight of the cantaloupes at least 4lbs but less than 6lbs.

Hence, Option: D more than 4lbs but less than 6lbs is correct.

Learn more about Histogram here

https://brainly.com/question/16481667

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Triangle PQR ~Triangle TUV. In Triangle PQR, ∡P = 33 degrees and ∡Q = 42 degrees. Find the measure of ∡V.

Answers

Answer:

angle v is 105

Step-by-step explanation:

the triangles are similar, so the angles will be the same so both triangles, the sum of the angles for a triangle must add up to 180 degrees

Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0. 2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3. 6 inches 18. 2 inches 60 inches 90 inches.

Answers

i need more info cmon man

Step-by-step explanation:

ur  mom

WANT MONEYYYY ANSWER PLSS

Answers

the answer is 20. ..........

Kayson mixes 300300300 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of spinach, 200\,\text{mL}200mL200, start text, m, L, end text of berries, and 42\,\text{mL}42mL42, start text, m, L, end text of dressing to make a salad. There are sss milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesis of vitamin C per milliliter of spinach, b\,\text{mg}bmgb, start text, m, g, end text per milliliter of berries, and d\,\text{mg}dmgd, start text, m, g, end text per milliliter of dressing.

Answers

Answer:

Total, T = (300s+200b+42d) mg

Step-by-step explanation:

Given that,

Kayson mixes 300 mL spinach, 200 mL of berries, and 42 mL of dressing to make a salad.

There are s mg of vitamin C per mL of spinach, b mg per mL of berries, and d mg per mL of dressing.

In 300 mL of spinach vitamin C is = (300 s)mg

In 200 mL of berries vitamin C is = (200 b)mg

In 42 mL of salad vitamin C is = (42 d)mg

It means that, total mg of vitamin C is :

Total, T = (300s+200b+42d) mg

Hence, this is the required solution.

PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much money would you save by shopping in the physical store after all discounts, taxes, and shipping fees have been applied?

Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD



A. $19.62


B. It is more expensive to shop in the physical store.


C. $0.46

Answers

Answer:

Buy the batteries and stereo online:  

4.99*2= $9.98 +$90 = $99.98  

6.99-5.00 = $1.99  

99.98+1.99=$101.97  

3Cds in store  

7.97*3= $23.85  

5% tax = 1.19  

10% off = 2.39  

$23.85 - $1.19= $22.66  

22.66 + 101.97= $124.63  

All in store:  

12+100+23.85= 135.85 - 6.45 = $129.40  

All online:  

9.98 + 90 + 26.85= 126.85 +$1.99 = 128.84

(CREDIT: Hussain514)

whats the solution to 5x+2y=8

Answers

Answer:

Not possible.

Step-by-step explanation:

We would need another equation to solve this problem as we have 2 variables.

please help Simplify the following expression.

Answers

Answer:

răspuns corect :a 2x -8y +3

Step-by-step explanation:

dami coroana te rog

What is the product? 2 1/5 × (−5 1/3)

Answers

(-11 11/15) (x) that’s the answer

Answer:

7.14

Step-by-step explanation:

21/5×(-51/3)21/5×-51/31071/157.14answer

ILL GIVE YOU 100 POINTS!! A polygon is graphed on a coordinate grid with ​(x, y)​ representing the location of a certain point on the polygon. The polygon is transformed using the rule ​(x, y)→(ax, ay)​ .

Which statement must be true?


If a equals 1, the image of the polygon is larger than the polygon.

If a is between 0 and 1, the image of the polygon is larger than the polygon.

If a equals 1, the image of the polygon is smaller than the polygon.

If a is between 0 and 1, the image of the polygon is smaller than the polygon.

Answers

Dilation involves changing the size of a polygon.

The true statement is: b. If a is between 0 and 1, the image of the polygon is smaller than the polygon.

The dilation rule is given as:

[tex]([/tex][tex]x,y)[/tex]⇒[tex](ax,ay)[/tex]

The size of the image, depends on the value of a.

If a is above 1, the image of the polygon will be bigger

If a is between 0 and 1, the image of the polygon will be smaller

If a is 1, the polygons will be congruent

Hence, the true statement is (b)

Read more about dilations at:

brainly.com/question/13176891

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"If you see someone without a smile, then give them one of yours!"

quote by - FieryAnswererGT

So you should always keep MANY smiles so that you can share them too!

Thanks!

:D

What is the scale factor from ABC to XYZ?

Answers

explanation:

Here we can see that both triangles have same angles and same proportionality in sides. the scale factor: 2

✓ Same shapeSame sizeCongruent✓ Similar

Congruent is when the triangles have same shape and size

Here, the size is not similar this not congruent.

These two triangles are Similar and have same shape but enlarged.

A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the questions.

Apples cost $ __ per pound.

Answers

Answer:

.70 hope this helps

Step-by-step explanation:

.70 hope this helps you plz rate

4. Ms. G learns how to play 28 songs on the guitar
in one week. How many songs does Ms. G learn to
play in one day?

Answers

Answer:

4

Step-by-step explanation:

1 week = 7 days

28 divided by 7

distribute -1/4(16x-8)

Answers

-1/4 times 16 = -4.

-1/4 times -8 = 2.

-4x + 2

The actual base of the triangle is 120
m and its actual height is 90 m. What
is it's area in square meters?
Area of a triangle is (1/2)b*h (the base
times the height times one half)

Answers

Answer: 18,00 Meters (1.3)

Step-by-step explanation:

Divide one of the sides in the bigger triangle by its corresponding side in the smaller triangle to determine the scale factor for the smaller triangle to the bigger triangle.

1st) 120/90

2nd) Convert

3rd) Factor your half

I need your help yes you help me ugh

Answers

The answer is choice “D”

A traffic helicopter descends 142 meters to be 430 meters above the ground, as illustrated in the diagram to the
right. Write an equation to describe the situation using h as the original height of the helicopter. What was the
original height of the helicopter?

Answers

430m+142m=h

The original height of the helicopter would be 142m higher than what it just descendet to.

3 tenths of 90 equals​

Answers

Answer:

27

Step-by-step explanation:

When it says "of" that means you multiply and 3 tenth is the same as .3 so what we have to do is...

.3 x 90 = 27

Hope that helps and have a great day!

27 is your answer because 3 tenths of 90 = 27

∆QRS≅∆TUV
Name the angle or side that corresponds to with

Answers

Answer:

∠T

Step-by-step explanation:

∠T is the angle or side that corresponds to with

A regulation basketball has a diameter of 94 inches. What is the volume of the ball?

Answers

Answer:

B is the answer if this helps u plz mark me as branliest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

how do I do this?
please help​

Answers

Answer: tbh i think that you might have to skip numbers what it looks like to me i mean i could be wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

Goal: For each spot you need to find the value associated with the column name.

Radius: half the maximum width of a circle

Height: The measure of how tall the cylinder is

Base Area: Can be found using the equation BA = π*r²

To find volume in terms of pi:

Only square the radius. Do not multiply the r² value by π. After squaring the radius, multiply it by the height of the cylinder.

Equation for Volume of a Cylinder = h*BA = h*π*r² =Volume

This can also be done in reverse if you know the volume and either the Base Area, the radius, or the height.

Simply do:

[tex]\sqrt{ \frac{V}{h*pi}} =r[/tex]

to find the radius

OR

[tex]\sqrt{ \frac{V}{BA}} =h[/tex]

to find the height

OR

[tex]\frac{V}{h} =BA[/tex]

to find the Base Area

marios rental store charges a one time fee of $18 and then $6 per movie.Luigi's rental store charges $9 per movie. How many movies must be rented for the total cost of the two stores to be equal

Answers

answer: 6 movies

explanation: make the equations equal each other. 18+6m=9m. subtract 6m from both sides leaving you with 18=3m. then divide both sides by 3 (18/3 = 3m/3) and you’re left with 6=m.

What would the phrase "increased by" mean in math?

Answers

In maths it will mean more than

Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x After what y-value does the exponential function appear to surpass the linear function?.

Answers

After the value of y is 4 does the exponential function definitely surpasses the linear function.  

What is exponential function?

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

Given

Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x.

As we can see y1=2x is a linear function and y3=2^x is a exponential function.

The graphs of y1 and y3 meet at 2 points i.e. at (1,2) and (2,4)

When you graph the equations their point of intersection is (2,4).

Therefore, when y > 4, the exponential function surpasses the linear function.

To know more about linear function click the link given below.

https://brainly.com/question/6714976

Answer:

4

Step-by-step explanation:

edge 2022

Which shows 2^6
-2/6
1/10^6
1/2^6
1/12

Answers

Answer:

None of these

Step-by-step explanation:

2^6 = 64

1/10^6 = .000001

1/2^6 = [tex]\frac{1}{64}[/tex]

1/12 = [tex]\frac{1}{12}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Assuming you meant: }\large\boxed{\rm{ 2^{-6}}}[/tex]

[tex]\large\boxed{\frak{2^{-6}}}\\\\\large\boxed{= \frak{\dfrac{1}{2^6}}}\\\\\large\boxed{= \frak{\dfrac{1}{2\times2\times2\times2\times2\times2}}}\\\\\large\boxed{= \frak{\dfrac{1}{4\times4\times4}}}\\\\\large\boxed{= \frak{\dfrac{1}{16\times4}}}\\\\\large\boxed{= \frak{\dfrac{1}{16 + 16 + 16 + 16}}}\\\\\large\boxed{= \frak{\dfrac{1}{32 + 32}}}\\\\\large\boxed{= \frak{\dfrac{1}{64}}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{1}{2^6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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