how can i solve these simultaneous equation 11x+11y=1001 and 10x+y=10

Answers

Answer 1

Answer:

[tex]10x + y = 10 (1)\\ 11x + 11y = 1001(2) \\ from \: equation \:(1) \: y = 10 - 10x \\ 11x + 11(10 - 10x) = 1001 \\ 11x + 110 - 110x = 1001 \\ 11x - 110x = 1001 - 110 \\ - 99x = 891 \\ \frac{ - 99x}{ - 99} = \frac{891}{ - 99} \\ x = - 9 \\ y = 10 - 10x \\ y = 10 - 10( - 9) \\ y= 10 + 90 \\ y = 100[/tex]

Step-by-step explanation:

Hope that this is helpful.

Have a great day.


Related Questions

find the square root of the following by long division method
(a) 1369
(b) 5625​

Answers

a). 1369 = 37

Hope it helps you

Answer:

Thank you so much

Step-by-step explanation:

Buy the I am also Collecting cups for planting

I have more idea that I will share at 5 pm today only

In this question, 5x squared +7, which one is the constant?

Answers

Answer:

7 would be the constant

Step-by-step explanation:

Constants are the values in an equation that never changed or are isolated. For instance, 5 would not be a constant because of the variable (x) being multiplied. Though, if it were 5+x square +7, 5 and 7 would be the constants.

Your roommate asks to borrow $500 and agrees to pay it in 45 days with interest rate of 4%. How much interest will you earn?

Answers

Answer:

20

Step-by-step explanation:

List your questions you have down below so I can help you answer them I am really good at math :))

Answers

this isn’t math but help;(

Magda's checking account has $42.45. She withdraws $60 from the account. Which equation shows the new balance, in dollars, of Magda's account?

Answers

Answer:

42.45 - 60 = - 17.55

Step-by-step explanation:

there is a 20 character limit so filler..

Neee help wit these step 1-6

Answers

Answer:

what to do now

Step-by-step explanation:

a. In problem 3, figure PQRST is an image of figure VWXYZ.
Identify the corresponding angles.
2 Vand
and ZS
LZ and
Xand
and ZQ

Answers

Figure is not required .

Names of Pentagons are enough.

PQRSTVWXYZ

[tex]\\ \sf\Rrightarrow <P\sim <V[/tex]

[tex]\\ \sf\Rrightarrow <Q\sim <W[/tex]

[tex]\\ \sf\Rrightarrow <R\sim <X[/tex]

[tex]\\ \sf\Rrightarrow <S\sim <Y[/tex]

[tex]\\ \sf\Rrightarrow <T\sim <Z[/tex]

What is the area of the shaded region?

Answers

Answer

157.44

Step-by-step explanation:

To find area of triangle you have to multiply base times height then divided by 1/2. 19.2 cm being your height x 16.4 cm being your base, then divide by 2.

Answer:

area of the triangle = ½×base×height

½×19.2×16.4 = 157.44

so, the area of the triangle is 157.44cm³

Step-by-step explanation:

brainliest plz

In the number 919,827, what is the nearest thousand?

Answers

Answer: 919,80

Step-by-step explanation:

Answer:

920,000

Step-by-step explanation:

9   hundred thousands

1    ten thousands

9   thousands

8   hundreds

2   tens

7   ones

Rounding: 5 and up round up, 4 and below round down.

8 is higher than 4 so you round 919,827 to 920,000.

30 points! (check image)

a. x = 15, y = 40
b. x = 30, y = 40
c. x = 15, y = 20
d. x = 30, y = 20

Answers

Answer: a. x = 15, y = 40

Step-by-step explanation:

So we already know that ΔABC and ΔFDE are congruent, which means their angles are equal. Based on this information, we could note that:

∠A = ∠F

∠C = ∠E

∠B = ∠D

Since we already know the measurement of ∠B, we could then conclude that ∠D, or y, is equal to 40°. This leaves us with two possible answers, a or b.

In order to find the value of x, we need to know the measurement of ∠F. And in order to find ∠F, we need to find the measurement of ∠A. We already know that the angles in a triangle sums up to 180°. So we would start as the following.

∠A + ∠B + ∠C = 180

We first substitute the known measurements.

∠A + 40 + 110 = 180

We then add up 40 with 110.

∠A + 150 = 180

We finally substract 150 on both sides of the equation. This gives us the measurement of ∠A.

∠A = 30°

Now that we know ∠A, we could start finding the value of x. So we already know this:

∠A = ∠F

We first substitute each angle with their known measurements.

30 = 2x

We now divide both sides by two. This gives the value of x.

x = 15

Translate the sentence into an inequality.
Twice the difference of a number and 4 is at most - 18.
Use the variable x for the unknown number.

Answers

Let the no be x

Inequality given by

[tex]\\ \sf\longmapsto 2(x-4)\leqslant -18[/tex]

Let's solve

[tex]\\ \sf\longmapsto x-4\leqslant -9[/tex]

[tex]\\ \sf\longmapsto x\leqslant -5[/tex]

Answer:

the value of x => x≤-5

Step-by-step explanation:

2(x-4)≤-18

x-4≤-18/2

x≤-9+4

x≤-5

hope it's helpful to you

Jane and Joe’s mom cook sausage links for breakfast they are seven links to be shared equally between the children which equation shows how Jane and joe can determine the number of sausage links

Answers

7/2=3.5

7 sausage links shared between 2 kids. Each kid gets 3.5 sausage links for breakfast

Paula went to the salon and had 1/2 of an inch of hair cut off. The next day she went back and asked for another 5/6 of an inch to be cut off. How much hair did she have to cut in all?

Answers

Answer:  1 and 1/3 or 1 and 2/6

Step-by-step explanation: 1/2 x 3 = 3/6

3/6+5/6= 1 and 2/6 or 1 and 1/3

Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand

Answers

Answer:

120

Step-by-step explanation:

As those two lines are parallel, we can express and equation:

[tex](6x + 18) + (4x - 8) = 180[/tex]

[tex]6x + 4x = 180 - 18 + 8[/tex]

[tex]10x = 170[/tex]

[tex]x = 17[/tex]

[tex]6x + 18 = 102 + 18 = 120[/tex]

Which of the following represents the eighth root of x to the fifth power in exponential form? (6 points)

5x^8
8x^5
x to the five eighths power x^(5/8)
x to the eight fifths power x^(8/5)

Answers

Answer:

[tex]x^{\frac{5}{8}}[/tex]

Step-by-step explanation:

8th root of x to the power fifth. This means the power will be 5/8

[tex]x^{\frac{5}{8}}[/tex]

Your choice is correct .

A bag contains seven balls labeled 1 through 7. One ball will be randomly picked.what is the probability of picking an even number

Answers

There are 3 even numbers in 1-7. So the fraction would be 3/7 and then you can multiply it by 100 to get the percentage which is 42.86 %.

which of the following straight line is parallel to y = 7 - 2x?

Answers

Answer:

Whichever line has a slope of -2

Step-by-step explanation:

rewrite in slope intercept

y=mx+b     where m=slope

y=-2x+7

-2 is the slope of the original line

a parallel line will never intersect

the parallel line must have the same slope

[tex]\frac{x}{2}[/tex]±4=8

Answers

Answer: X=8
•Find common denominator
•Combine Fractions with common denominator
•Multiply the numbers
•Multiply all terms by the same value to eliminate fraction denominators
•Cancel multiplied terms that are in the denominator
Multiply the numbers
•Subtracts 8 from both sides of the equation
•Simplify

BRAINLIEST to correct answer!!

Answers

They are equally spaced so all the circles share the same center point.

they have the same centre point

Someone Please help 2!!!!

Answers

EEEEEEEEEEEEEEEEEEEEEEEE

Will give brainliest, 20 points
Someone pls help me understand this, i dont know how to change my equation around

Answers

Answer:

the answer is the third one k > - 5

Answer/Step-by-step explanation:

 Step 1: Simplify both sides of the inequality.

[tex]\frac{1}{4}k+\frac{-3}{4}>-2[/tex]

Step 2: Add 3/4 to both sides.

[tex]\frac{1}{4}k+\frac{-3}{4}+\frac{3}{4}>-2+\frac{3}{4}[/tex]

[tex]\frac{1}{4}k>\frac{-5}{4}[/tex]

Step 3: Multiply both sides by 4.

[tex]4*\frac{1}{4}k>4*\frac{-5}{4}[/tex]

K > -5

 So according to this the value of k has to be greater than -5

You can check your answer by substituting the values in for k.

You can use a calculator..

[tex]\frac{-10-3}{4} >-2[/tex]  

[tex]\frac{-7-3}{4} >-2[/tex]

[tex]\frac{-1-3}{4} >-2[/tex]

[tex]\frac{0-3}{4} >-2[/tex]

Solve these and you will get your 2nd answer.

[RevyBreeze]

Please help me. Please put correct answer

Answers

Mixed Number Form:

[tex] - 1 \frac1 2[/tex]

Emily has 20 chocolate chip cookies in 48 sugar cookies she wants to make baskets with the same number of cookies in each basket what is the greatest number of baskets she can make

Answers

Answer: Take your pick, Emily.

Step-by-step explanation:

1) Assuming Emily wants both Chocolate Chip(CC) and Sugar Cookies(SC) in each basket, she could make 20 baskets having 1 CC and 2 SC in each basket. That would leave 8 SC (48-40) without any matching CC.

2) If Emily doesn't care about the makeup of each basket (e.g., some baskets may have any combination of cookies), she has a total of (20 + 48) or 68 cookies. She has the following choices:

1 cookie each: 68 baskets

2 cookies each: 34 baskets

3 cookies each: 22 baskets with 2 cookies left over

And so forth.

Unless Emily was given some other condition (e.g., a minimum of 5 cookies/basket), there are many possible answers.

Please help!!
(I’ll mark brainliest)
It’s question number 15!

Answers

Answer:

divide both side by nine

Step-by-step explanation:

v = lwh

36cm³ = 3cm × w × 3cm

36cm³ = 9cm × w

36cm³/9cm = w

Theo used to drive 60 miles to work each day. His new home is now 20 miles away
from his job. What is the percent of
decrease in the distance Theo travels to
work? Round to the nearest tenth if
necessary.

Answers

Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

The percentage of decrease in the distance Theo travels to work is 66.7%.

Used concept of percentage;

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that;

Theo used to drive 60 miles to work each day.

And, His new home is now 20 miles away from his job.

Hence the percentage of decrease in the distance Theo travels to work is,

P = (60 - 20)/60 x 100

P = 40/60 x 100

P = 66.7%

So, The percentage of decrease in the distance Theo travels to work is 66.7%.

Learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ3

Amanda doubles a number, then subtracts six from the result. This leaves her with forty-two. What is the number she chose to double?

Amanda chose to double the number .

(Note: Please answer in numeric form.)

Answers

Amma is jacks so I is I. Wibojsb kosvkw

3(x-y)-5x(y-x) ..................

Answers

Answer:

what do we solve x or y?

Step-by-step explanation:

neep help with iready

Answers

Answer:

I can help you.

Step-by-step explanation:

I can help you, just send me a message

Have a positive day

hello pls fill in the question marks :) Multiply (x + 1)^3
(x + 1)^3= (x + 1)(x + 1)^2
= (x + 1)(x^2 + 2x + 1)
= x3 + ?x^2 + ?x + ?

Answers

Answer: 3, 3, 1

Step-by-step explanation:

(x+1)³= (x+1)(x+1)²

=(x+1)(x²+2x+1)

=x³+ 3x²+3x+1

If machine A makes a yoyo every five minutes and machine B makes a yoyo every 10 minutes

Answers

Answer:

Then machine A is twice as effiecent as machine B

Step-by-step explanation:

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