What is the solution to this system of equations 3x+y=17 and x+2y=49

Answers

Answer 1

Answer:x=-3 y=26

Step-by-step explanation:

3x+y=17.............(1)

x+2y=49..............(11)

From (11) x=49-2y

Substitute x=49-2y in 3x+y=17

3(49-2y) + y=17

Open bracket

147-6y+y=17

147-5y=17

Collect like terms

5y=147-17

5y=130

Divide both sides by 5

5y/5=130/5

y=26

Substitute y=26 in x+2y=49

x+2(26)=49

x+52=49

Collect like terms

x=49-52

x=-3

Answer 2

Answer:

It has a single solution: x = -3, y = 26.

Step-by-step explanation:


Related Questions

A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price
per Ib?

Answers

Answer:

$2.1 per pound

Step-by-step explanation:

price/pounds

52.92 / 25 = 2.1

The sum of two consecutive even integers is 186. What are the two numbers?

Answers

Answer: 92 and 94

Step-by-step explanation:

x = first number

x + 2 = second number

x + x + 2 = 186

simplify

2x + 2 = 186

subtract 2 from both sides

2x = 184

divide both sides by 2

x = 92

92 + 2 = 94

The numbers are 92 and 94.

Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even integers here.

Any 2 consecutive even integers can be represented as x + x + 2.

So we can represent our integers as follows.

X ⇒ first integer

X + 2 ⇒ second integer

Since their sum is 168, our equation reads x + x + 2 = 186.

Simplifying on the left side gives us 2x + 2 = 186.

Now subtract 2 from both sides to get 2x = 184.

Now divide both sides by 2 and we find that x = 92.

If x = 92, then x + 2 will be 92 + 2 or 94.

So our two consecutive integers are 92 and 94.

Consider the graph of the exponential function, y =3(2)^x. The x- intercept of the graph is

Answers

Answer:

the x intercept is 2

Step-by-step explanation:

I just went over this unit

Answer:

2

Step-by-step explanation:

The sum of the first 7 terms of an arithmetic
sequence 2.5, 7.5, 12.5, 17.5, ... would be:

Answers

Answer:

just google it i am not able to put the link to a website which ahs the answer to this sorry :(

Step-by-step explanation:

Answer:

2.5 7.5 12.5 17.5 22.5 27.5 32.5

Step-by-step explanation:

Just add 5 to the previous sum considering it is arithmetic sequence is always addition.

Sandy does babysitting in her spare time. She gets $100 advance pay and $10 per hour for babysitting. She wants to earn enough to buy a new Iphone for $450. How many hours she needs to babysit to earn enough money to buy the Iphone?

Answers

Step-by-step explanation:

She needs to baby sit for 5 hours = 5 x 110 = 550

What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4

Answers

Answer:

4

Step-by-step explanation:

The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.

Answer: 4

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.

Now, notice that there are two numbers that appear in the middle.

I have underlined them above.

When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.

So the median of the given data set is 4.

Algebraic exspression of
15x +8

Answers

Answer:

15x-8=0

x=8/15

Step-by-step explanation:

what is the difference between 64,926 and 49,079​

Answers

Answer:

15847

Step-by-step explanation:

I did the math

Answer:

15,847

Step-by-step explanation:

I do not understand how to do this?

Answers

Answer:

-8,-7

Step-by-step explanation:

I think

Answer:

try pressing the help button, it looks like it mightve glitched

Step-by-step explanation:

a number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what could be the number

Answers

Answer:350000

Step-by-step explanation:

The number is 350000

350000 rounded to the nearest hundred thousand is 400000

350000 rounded to the nearest ten thousand is 350000

What is the volume of a hemisphere with a diameter of 51.8 inches round to the nearest 10th of a cubic inch

Answers

Answer:

  36,388.0 in³

Step-by-step explanation:

The volume of a sphere is usually expressed in terms of the radius as ...

  V = (4/3)πr³

Here, we want the volume of 1/2 of a sphere, given the diameter. So, our volume will be ...

  V = (1/2)(4/3)π(d/2)³ = (π/12)d³

For the given diameter, the hemisphere volume is ...

  V = (π/12)(51.8 in)³ ≈ 36,388.0 in³

Help asap! Giving brainliest!

Answers

Answer:

A D E

Step-by-step explanation:

Answer:e

Step-by-step explanation:

1+4=5
2+5=12
3+6=21
8+11=?

Answers

Answer:40

Step-by-step explanation:

21+8=29

29+11=40

Consider this quadratic equation
X^2+2x+7=21

Answers

Answer:

x = sqrt(15) - 1 or x = -1 - sqrt(15)

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 7 = 21

Subtract 7 from both sides:

x^2 + 2 x = 14

Add 1 to both sides:

x^2 + 2 x + 1 = 15

Write the left hand side as a square:

(x + 1)^2 = 15

Take the square root of both sides:

x + 1 = sqrt(15) or x + 1 = -sqrt(15)

Subtract 1 from both sides:

x = sqrt(15) - 1 or x + 1 = -sqrt(15)

Subtract 1 from both sides:

Answer: x = sqrt(15) - 1 or x = -1 - sqrt(15)

Your teacher has 50 pencils. 9 of the pencils are green, 10 are yellow, 7 are
blue and the rest are red. Once a pencil is picked, assume it is not given
back to the teacher. What is the probability that the first 3 students pick a
yellow pencil, a blue pencil and a red pencil in that order? Is this a
dependent or independent event? *
A. Independent, 1/70
B. Dependent, 1/70
C. Independent, 41/3125
D. Dependent, 41/3125

Answers

Answer:

B. Dependent, 1/70

Step-by-step explanation:

The probability that the first pencil is yellow is 10/50.

There are now 49 pencils, so the probability that the second pencil is blue is 7/49.

There are now 48 pencils, so the probability that the third pencil is red is 24/48.

The total probability is (10/50) (7/49) (24/48) = 1/70.

Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.

A bike tire has a diameter of 16 inches What is the radius of the bike What is the circumference of the bike

Answers

the answer i got was 31.4.... if that’s wrong i’m so sorry.

What is the answers?

Answers

The answer is x + 1 / x +3

Answer:

[tex]\frac{(x + 1)}{(x + 3)}[/tex]

Step-by-step explanation:

If you ignore the 7x for the moment, you can see that the numerator can be factored into (x-5)(x+1), and the denominator can factored into (x-5)(x+3).

The (x+5)s can cancel out, so you are left with [tex]\frac{(x+1)}{(x+3)}[/tex] times [tex]\frac{7x}{7x}[/tex]. Since 7x/7x is just equal to 1, our final answer is (x+1)/(x+3).

Hope this helped! :)

A bottle of has a capacity of 0.43 L. How many milliliters of shampoo does the bottle contain (1 L = 1000 mL

Answers

Answer:

1 = 1000

0.43 L = _________ mL

0.43 * 1000 = 430 mL

430 mL is the answer.

Hope this helps

could you help me with this question? it is attached in an image

Answers

Answer:

its either 1 or 4 i think

I think the answer is 1

P
Which expression is equal to 2 x 15?

Answers

Answer:

30

Step-by-step explanation:

2*15

= 30

Answer:

30

Step-by-step explanation:

2*15

= 30

What would your life be if you were shrek?

Answers

Answer:

No more lonely time

Step-by-step explanation:

I have shriek to keep me company in bed;)

Answer:

- Something unpredictable -

Step-by-step explanation:

I would just scream all day about my appearance

Suppose two variables are positively correlated. Does the response variable increase or decrease as the explanatory variable increases? The response variable will increase as the explanatory variable increases. The response variable will decrease as the explanatory variable increases. We can not say whether the response variable will increase or decrease. The response variable will remain constant as the explanatory variable increases. Need Help?

Answers

Answer:

Option A

Step-by-step explanation:

Positive correlation describes a relationship between two variables where both variables move in the same direction. In this case, the response variable will increase as the explanatory variable increases.


Find the surface area of the polyhedron below. The area of each base is 65 cm^2

Answers

Answer:

D. 290 square cm

Step-by-step explanation:

Surface area of polyhedron

[tex]= 2 \times 65 + 7 \times 8 + 4 \times 8 + 3 \times 8 + 3(2 \times 8) \\ = 130 + 56 + 32 + 24 + 48 \\ = 290 \: {cm}^{2} [/tex]

What is the solution for the following equation? 2x+2=8

Answers

Answer:

  x = 3

Step-by-step explanation:

2(x)+2=8

2*x+2-(8)=0

Pull out like factors :

2x - 6  =   2 • (x - 3)

2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 x-3 = 0

X=3

Answer:

x= 3

Step-by-step explanation:

2x+2=8

substact 2 from both sides of the eqation,

then you get 2x=6

then you divide each side by 2 and get x= 3

hope this helped, good luck !!

brainliest ?? :))

What is 1/3 of 5 1/2

Answers

Answer:

im so sorry

Step-by-step explanation:

Answer:

(1/3)*(5 1/2) = 1.83333333333 or 1.8

Step-by-step explanation:

Given the formula, Sn=a 1-r^n/1-r, what is the sum of the first nine terms of the geometric series: 324, -108, 36, -12...



If necessary, round to the hundredths place. (2 places after the decimal)

Answers

Answer:

243.01.

Step-by-step explanation:

The first term (a) = 324.

The common ratio (r) = -108/324 = -1/3.

So sum of 9 terms is:

S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)

= 324 ( 1 - (-0.00005076)) / 4/3

= 324 * 1.00005076 / 1.33333

= 243.012.

The ratio of boys to girls at King Middle School is 3:2. What is the ratio of girls to all
students?
3:5
2:5
2:3
3:2

Answers

Answer:

2:5

Step-by-step explanation:

your welcome. jsvsjgbdjshwbkshd

Answer:

The answer will be 2:5 Ratio.

Step-by-step explanation:

The explanation for this answer is going to be adding 3  + 2  Ratio = 5.

Once we have 5 we put the 5 on the right Which means all then we put the Girls (2) on the left. Hope you found this answer helpfull.

Please help ASAP! giving BRAINLIEST if correct! What is the factorization of the polynomial below?

Answers

Answer:

2(x+6)(x+6)

Step-by-step explanation:

splitting the middle term:

2x²+12x+12x+72

then2x(x+6)+12(x+6)

=(2x+12)(x+6)

=2(x+6)(x+6)(by takin common factor out)

plzz mark me brainliest

If h = 85 cm and 1 = 36 cm, what is the length of g?
A. 77 cm
B.
92 cm
C
49 cm
D
75 cm

Answers

Answer:A

Step-by-step explanation:

h=85 f=36

Since it is a right angled triangle we can apply Pythagoras principle to get g

g=√(h^2 - f^2)

g=√(85^2 - 36^2)

g=√(85x85 - 36x36)

g=√(7225 - 1296)

g=√(5929)

g=77

can someone please answer this fast, ty

Answers

Answer:

13p

Step-by-step explanation:

12p+p

Factor out the p

p(12+1)

p (13)

13p

The correct answer is 13p
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