What is the y-value of the solution to the system of equations? 3x 5y = 1 7x 4y = −13 −3 −1 2 5

Answers

Answer 1

The y-value of the solution to the system of equations is 2.

We have given a system of equation

3x + 5y = 1

7x + 4y = −13

What is the system of equation?

A system of equations is a collection of two or more equations with the same set of unknowns.

First we have to find the value of x.

3x + 5y - 5y = 1 - 5y

divide both sides of the equation by 3

3x/3 = 1/3 - 5y/3

x = 1/3 - 5/3y

Now plug that into the other equation,

7(1/3 - 5/3y) + 4y = -13

7/3 - 35/3y + 4y = -13

7/3 - 7 2/3y - 7/3 = -13 - 7/3

- 7 2/3y (-3/23) = -15 1/3 (-3/23)

y = 2

The answer is 2.

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Related Questions

In the triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find sin A if a = 3013, b = 2

Answers

Answer:

[tex]Given: Statement\\ To\ find: Correct\ optician\\ tan\theta=\frac{2}{30\sqrt{13}}[/tex]

[tex]sin\ B=\frac{2}{33}[/tex]

[tex]sin A=\frac{1}{7}=\frac{30\sqrt{13}}{3311}=\frac{3\sqrt{13}}{11}[/tex]

I hope this helps you

:)

A washing machine has the following cycle: soak for 15 minutes, wash for 30 minutes, and rinse for 10 minutes. If you approach the machine at a random during the cycle, what is the probability that the cycle will be in the rinse phase when you arrive at the machine

Answers

55 : 100% = 10 : x
55x = 1000%
x = 18.18% [rinse probability]


{more things not in the question}

55 : 100 = 30 : x
55x = 3000
x = 54.54 [wash probability]

55 : 100 = 15 : x
55x = 1500
x = 27.27 [soak probability]

The distance between the school and a students house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days

Answers

She walks 1km 875m every single day and this is only one way to go school and back to home is also same
We have to convert 1km 875m into meter so 1875m. To maintain the balance we did it

Six day she goes home to school and school to home will (1875*12) meter **here 12 because she walk home to school and school to home
= 22500meter
We convert back into km and meter
So 22km and 500m

So she walked 22kilometer 500meter

Determine whether each of the following is a characteristic of a protist, fungus, or both. Unicellular Stationary Reproduces through spores Eukaryotic Cilia Autotrophic

Answers

Answer:

100% correct

Step-by-step explanation:

The properties of the protists differ from that of the fungi but they are both eukaryotic organisms and are unicellular.

What is a protist?

A protist is an organism that belongs to the Kingdom Protista. Fungus are the organisms that belong to the kingdom fungi.

Now, let us differentiate between the properties of the protists and the fungi;

Unicellular - both fungi and protists

Stationary - fungi

Reproduces through spores - fungi

Eukaryotic - both fungi and protists

Cillia - protists

Autotrophic - fungi

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Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)

Answers

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

[tex]x_1=-2\\y_1=5\\x_2=-1\\y_2=1[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{1-5}{-1--2}[/tex]
Simplify

m=[tex]\frac{1-5}{-1+2}[/tex]

Subtract

m=[tex]\frac{-4}{1}[/tex]

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

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What is the range of the function f(x) = 3x2 6x – 8?

Answers

The domain of the function is a real number and the range of the function will be (-11, ∞).

What are domain and range?

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

f(x) = 3x² + 6x – 8

f(x) = 3x² + 6x + 3 – 11

f(x) = 3(x² + 2x + 1) – 11

f(x) = 3(x + 1)² – 11

Then the range of the function will be from -11 to infinity.

More about the domain and range link is given below.

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Which graph represents the solution set of this inequality?
11g-5< 49
Choose 1 answer:

Answers

Answer:

Answer choice A is the correct answer

Step-by-step explanation:

** Before you start: If anything that is < or > you shouldn't fill in the plot.

If it has ≤ or ≥then you need to fill in the plot.**

Terminology:

(>) : Greater than (Don't fill in)

(<): Less than (Don't fill in)

(≤) : Less than or equal to (Fill in)

(≥) : Greater than or equal to (Fill in)

In this case, the answer choices C and D are wrong automatically.

Your Inequality:

11g + 5 ≤ 49

Subtract 5 both sides

11g ≤ 49-5

11g ≤ 44

Divide 44 by 11

g ≤ 4

Find an answer choice that has a number greater than 4 but has a filled-in circle/plot.

Answer choice A is the correct answer

50 PTS 2. Consider the following line plot.
(a) What is the general trend of the graph?
(b) What is the median of the data? Explain.
(c) What is the mean of the data? Explain.
(d) Would the mean or median be affected more with a data point of 20? Explain.

Answers

Answer:

Picture so I can solve it

Simplify the expression

-6 +4x+ 9 -2x

Answers

Answer:

3 + 2x

Step-by-step explanation:

combine -6 + 9 = 3

combine 4x - 2x = 2x

Combine like terms 4x-2x=2x and -6 plus 9 =3 so 2x+3

A right triangle has an area of 33 mm2 and a height of 12mm. How long is the base of the triangle

Answers

Answer:

5.5

Step-by-step explanation:

A base of a trapezoid is 16 feet, and the height is 3 feet. The area of the trapezoid is 36 square feet. Find the length of the other base

Answers

Answer:

8 feet

Step-by-step explanation:

Area of a trapezoid: h(a + b)/2

height, h = 3 ft

base 1, a = ?

base 2, b = 16 ft

area, A = 36 ft^2

36 = 3(a + 16)/2

72 = 3(a + 16)

24 = a + 16

8 = a

I hope this helps!

Help ulitt ihihihihi

Answers

Answer:

1.A , 2.B , 3.D , 4.B , 5.C

Step-by-step explanation:

hope this helped! :)

need some help with the question in the image

Cheers​

Answers

5 km is 5000 meters
6.5 millimeters is .65 centimeters
1780 millimeters is 1.78 meter
3000 grams is 3 kg

Which is the slope of the line that passes through the points (-3,-2) and (1,0)

Answers

Answer:

[tex]Slope = \frac{1}{2}[/tex]

Step-by-step explanation:

Let m be the slope of the line

We can calculate the slope m this way :

[tex]m = \frac{0-(2)}{1-(-3)} = \frac{2}{4 }= \frac{1}{2}[/tex]

square root (5/6)^2 help i need it fast​

Answers

I think it’s just 5/6

Shirley and Jena, working together, can paint the deck in 6 hours. Working alone, Jena takes three times as long as Shirley. How long does it take Shirley to paint the deck alone

Answers

Answer:

18 hours

Step-by-step explanation:

Jena takes three times as long as Shirley.

3 Times 6 = 18

this has to be one of the most random question i seen

Answers

144 Inches or 12 Feet

Step-by-step explanation

7 feet converted to inches is 84 So 84+60=144

And if you convert 60 inches into feet it would be 5

Answer:

144 inches

Step-by-step explanation:

1 ft = 12 inches

7 ft = 12 x 7 inches

7ft = 84 inches

Ice path you are floating on = 84 inches

other ice path = 60 inches

all together = 84 + 60

=> 144 inches

Hope this helps!

20 x 20 divided by 53 x z z=12

Answers

Answer:

90.5660377

Step-by-step explanation:

20×20÷53×12

400÷53×12

7.54716981×12

90.5660377

Which of the following is the correct factorization of the polynomial below?
x2-18
O A. (x+3)(x-6)
O B. (x-3)(x + 6)
O C. (x+3)(x2 - 4x+6)
D. The polynomial is irreducible.

Answers

Answer:

D. The polynomial is irreducible

Step-by-step explanation:

This polynomial is unfactorable. x² and 18 share no common factors. It is already in simplist form.

hope this helps :)

As an estimation we are told £3 is €4. Convert £7. 50 to euros

Answers

Put one currency on top and other on the bottom.

3/4=7/x

Solve for x


7.5*4=3*x
30=3x
X=10

Can someone pleast help me with this
can you right a opening paragraph stateding why kids should do sports please, thanks!

Answers

You should do sport because it gives you a lot of exercise and makes your body healthy. Sports are important because it makes people happy and it shows from studies that oscillatory increases a lot from sports. Sports are fun and exciting and it boots blood flow to the brain. It controls your body weight and it even makes u gain more skills! Kids have a way of breaking bones but sports help bones strengthen. And sports help with anxiety and even depression! I think kids playing sports are a great ideas because every kid needs some fun once and a while

WHAT IS THE ANSWER??? PLEASE QUICKLY

Answers

Answer:

A = lateral face B = base C = 132

Step-by-step explanation:

what is 500x150 help please

Answers

Answer: 75,000, (Ignore for 20 characters)

Answer:

75000

Step-by-step explanation:

using Pythagorean theorem we can conclude that the sun is facing north of the south pole which leads to the basic formula of planks leagth which is the smallest thing in the universe so far but it is not a thing it is but a leagth

PLS HELP I CANT FAIL
No links pls and Ty <3333!!!!!

Answers

Answer:

Option 1: 43π feet

Step-by-step explanation:

We are given that:

encloses garden with circular fence

garden measures 43 feet across = diameter

To find how much fencing is needed, we have to find the cicumference of the circular fence using the formula:

C = 2πr

C = Circumference

r = radius = half the diameter

We are given the diameter, so we just do half of it to get the radius

43 ÷ 2 = 21.5

r = 21.5

Now we substitute this into the formual:

C = 2πr

Substitute radius into formula

C = 2π(21.5)

Multiply 2 and 21.5

C = 43π

pls need help in math<3

Answers

Answer: 12 minutes

Step-by-step explanation:

Time taken by 2 people = 60 minutes

The time taken by 1 person is double that = 60 x 2 = 120 minutes

So the time taken by 10 people = 120 minutes / 10 people = 12 minutes

Answer: 12 minutes.

Step-by-step explanation: For two people, it takes an hour to paint a fence. With ten people, however, it takes very little time to paint a fence.  10 people are 5 times more people than when you have only 2.  It would only take 12 minutes because it takes 5 times less time with 10 people than with only two.

Let me know if this is right! :)

Write an equation in slope-intercept form for the line that passes through (-1, -2) and (3, 4).

Answers

Answer:

y = 3/2x - 1/2

all steps explained in pic attached below :)

Please help me with this!!!

Answers

Answer:

Its the first one.

Step-by-step explanation:

Just subtitue in values, the only one that works is the first one.

What was her speed?

0. 1 mile per minute
0. 5 mile per minute
5 miles per minute
10 miles per minute

Answers

Question :

The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged. what was her speed?

Answer:

The Answer is A. 0.1 mile per minute

This week Gap is offering 40% off all shirts and 50% off all shorts. Katie purchased 3 shirts for $25.65 and one pair of shorts priced at $22.80. About how much did Rebecca pay for the sweaters and jeans before tax?

Answers

The amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We're specified that:

Discount percent on shirts = 40%Discount percent on shorts = 50%The price of all 3 shirts = $25.65The price of one pair of shorts = $22.80

Before taxing, the price to be paid is real price (marked on the items) - discount offered on them.

Now, we get:
Price of each shirt is assumingly same, and so as for both of shorts. The discounts would be same for all shirts, and the discount will be same for all shorts.

So sum of discounted price = discount on summed price.
Thus, discoutned price of 3 shirts = 40% discount on $25.65

= $25.65 - 40% of $25.65

We get this:

[tex]25.65 - \dfrac{25.65}{100} \times 40 = 25.65 \approx 0.6 = 15.39[/tex] (in dollars)

Similarly, we get:

Discounted price of shorts=  $22.80 - 50% of %22.80 = 22.80 - 11.40 = 11.40 dollars

Thus, the total discounted price = discounted price of shirts and shorts= $15.39 + $11.40 = $26.79

Thus, the amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

Learn more about percent here:

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If the slope of a line is undefined, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Answers

Answer:

Vertical.

Step-by-step explanation:

Slope judges the vertical angle in which the line is moving, from point to point. If the line is vertical in it of itself, there will be no specific point in which you can use to define the slope. The denominator of run is always 0, and having a 0 for denominator will result in the fraction being undefined. You cannot have parts of nothing, mathematically.

Answer:

Vertical. Please consult the explanation for more details.

Solution:If the line's slope is undefined, then the line is vertical.Lines with an undefined slope have a run of zero.Remember one of the formulae for slope: Rise/Run.If the run is zero, the slope is undefined.You should be cognisant of the fact that division by zero is undefined. If not, please do not worry. Let me explain what the run is. The run is the amount of units we move left or right, or "run".The rise is the quantity of units we move up and down, or "rise".

Hope it helps.

Do comment if you have any query.

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