How do I work out the following simultaneous equations?x+3y=11 and 2x-y=11

Thank you, this is part of my half term homework and I really need to understand how to do this as soon as possible , thank you!

Answers

Answer 1

Answer: I'll show you two ways.

By substitution:

$x+3y=11\n2x-y=1\n\nx=11-3y\n2x-y=1\n\n2(11-3y)-y=1\n22-6y-y=1\n-7y=-21\ny=3\n\nx=11-3\cdot3\nx=11-9\nx=2\n\n\boxed{(x,y)=\left(2,3\right)}$

By elimination:

$x+3y=11\n 2x-y=1|\cdot 3\n\nx+3y=11\n\underline{6x-3y=3}\n7x=14\nx=2\n\n 2+3y=11\n3y=9\n y=3\n\n\boxed{(x,y)=\left(2,3\right)}$

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Could I please get some help I give thanks. and this is worth 18 points!!What is the surface area of a cylinder with a radius of 3 in. and a height of4 in.? Use 3.14 for p. Show the equation you use as well as all of your work to solve. Put each step of your work in a new line.

A cylindrical well is 25 meters deep and has a diameter of 1.8 meters. Approximately how many cubic meters of soil were dug out to make the well? (Use π = 3.14.)

Answers

The amount of soil dug out of well is 63.585 $m^(3)$ .

How to calculate the volume of cylinder?

Volume of Cylinder= $\pi r^(2)h\n$

Given values: $\pi$ =3.14

r=0.9 m (d/2)

h=25 m

Volume:

$3.14(0.9^(2) )25$

=63.585 $m^(3)$

Therefore 63.585 cubic meters of soil was dug out.

To know more about Volumes refer:brainly.com/question/6204273

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Height=25m
diameter=1.8m
so radius=0.9m
soil dugged out to.make well=vol.of well
=pi×r^2×h
=3.14×0.9×0.9×25
=3.14×25×0.81
=63.585m^3

Please help!!!!!!!!!!!!

Answers

Answer:

yes they are inverserve of each other

Step-by-step explanation:

f(x) = y just for say

y=3x+9

switch the x and y value and solve for y

x=3y+9

x-9=3y

(x-9)/3 = y

inverserve of f(x) is g(X)

and now g(x) = y

y= (x-9)/3

switch x and y and solve for y

x=(y-9)/3

3x= y-9

3x+ 9 = y

inverserve of g(x) is f(X)

If x-2 is a factor of x^2 - bx + b, where b is a constant, what is the value of b?

Answers

The value of b that makes x-2 a factor of x² - bx + b is 4.

Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Types of polynomials are quadratic, linear, cubic and so on.

The factor theorem states that; when f(k) = 0, then (x – k) is a factor of f(x).

Given that x-2 is a factor of x² - bx + b, hence:

f(2) = 2² - b(2) + b = 0

4 - 2b + b = 0

b = 4

Therefore the value of b that makes x-2 a factor of x² - bx + b is 4.

Find out more at: brainly.com/question/2449381

we have that

$x^2 - bx + b$

we know that

If $(x-2)$ is a factor of $x^2 - bx + b$

then

for $x=2$

$x^2 - bx + b$ is equal to zero

$2^2 - b*2 + b=0$

$4 - 2b + b=0$

$b=4$

therefore

the answer is

the value of b is equal to $4$

Help me please i will help you too

Answers

Day 3 is A because it tell how many pieces of candies eaten in a minute.
Day 4 is 10 and 15 because the ratios go in a pattern by 5
Day 5 is D but I really dont know that one

Isaiah put a 100 gram weight on a pan balance. how many 10 gram weights does he need to balance the scale

Answers

Isaiah need 10 weight to balance the scale.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

Isaiah put a 100 gram weight on a pan balance.

Now,

Number of 10 gram weight to balance the scale = 100 ÷ 10

= 10

Thus, Isaiah need 10 weight to balance the scale.

Learn more about the division visit:

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Answer=10 10gram weights
10*10grams=100grams
therefore the weight would be even on both sides

The town library is raising money by selling old books for $2 each.Which equation can be used to find the amount of money raised if the number of books sold is known?Let x represent the number of books sold and y represent the amount of money raised.

Answers

y=2x
y is the amount of money made from the sold books
x is the number of books that are sold (it is x because you don't know how many will be sold, so you have to account for all possibilities)
2x is because every book is sold for 2 dollars, so that mean x is multiplied by 2 to get y

Answer:

y=2x

Step-by-step explanation:

y is the amount of money made from the sold books

x is the number of books that are sold

since every book is sold for 2 dollars it's 2x,

so that mean x is multiplied by 2 to get y

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Plzzzz help meeeeeeeeeeeeeeee