What is the solution to the system of equations shown below. Show work
X-5y = 11 3x-5y=11

Answers

Answer 1

Answer:

The solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]

Step-by-step explanation:

Given the expression

[tex]x - 5y = 11[/tex]

[tex]3x - 5y = 11[/tex]

solving the expression

[tex]\begin{bmatrix}x-5y=11\\ 3x-5y=11\end{bmatrix}[/tex]

Multiplying x-5y = 11 by 3:  3x-15y=33

so

[tex]\begin{bmatrix}3x-15y=33\\ 3x-5y=11\end{bmatrix}[/tex]

and

[tex]3x-5y=11[/tex]

[tex]-[/tex]

[tex]\underline{3x-15y=33}[/tex]

[tex]10y=-22[/tex]

now solving 10y = -22 for y

[tex]10y=-22[/tex]

divide both sides by 10

[tex]\frac{10y}{10}=\frac{-22}{10}[/tex]

simplify

[tex]y=-\frac{11}{5}[/tex]

For 3x-5y=11 plug in y = -11/5

[tex]3x-15\left(-\frac{11}{5}\right)=33[/tex]

[tex]3x+15\cdot \frac{11}{5}=33[/tex]

[tex]3x+33=33[/tex]

Subtract 33 from both sides

[tex]3x+33-33=33-33[/tex]

Simplify

[tex]3x=0[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{0}{3}[/tex]

Simplify

[tex]x=0[/tex]

Thus, the solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]


Related Questions

PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?

Answers

Answer: 5

Step-by-step explanation: Sum of Angles = 900'. 6 right angles

= 540', leaving 360', which is impossible.

A scale of a model of a new building was created for approval by the city. The scale of the model is 3 inches=20 feet. If the model is 5 feet tall, how tall is the actual building?

Answers

Answer:

400 feet

Step-by-step explanation:

real

1 feet = 12 inches

5 feet = 60 inches

scale

3 inches = 20 feet

60 inches=

60/3 = 20

20*20= 400

therefore 5 feet tall equall 400 feet

The actual length of the building will be 400 feet.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The scale of the model is,

⇒ 3 inches = 20 feet

Now,

Since, The scale of the model is,

⇒ 3 inches = 20 feet

And, The model is 5 feet tall.

Since, 1 feet = 12 inches

So, 5 feet = 60 inches

Here, The scale of the model is,

⇒ 3 inches = 20 feet

So, The actual length of the building = 60 × 20/3

                                                         = 400 feet

Thus, The actual length of the building = 400 feet.

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ5

21 lizards: 35 frogs

Answers

Answer:

To simplify the ratio, you can put it into a fraction and divide both the numerator and the denominator

Both numbers can be divided by 7

21/7= 3

35/7= 5

3 lizards: 5 frogs

Step-by-step explanation:

Hope this helps!

BTW...if y'all have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! ❤

VT is the diagonal of a rhombus.
What is the slope of the other diagonal?

Answers

Answer:

C

Step-by-step explanation:

Remark

The slope of the given segment is found by using the 2 end points.

V(3,2) and T(5,7)

Slope of VT

Givens

y2 = 7y1 = 2x2 = 5x1 = 3

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (7 - 2)/(5 -3)

m = 5/2

Slope of other diagonal

m * m1 = - 1

5/2 * m1 = - 1

5m1 = -1*2 = -2

m1 = -2/5

C

Answer: c -2/5

Step-by-step explanation:

it’s the opposite so rise over run with a negative sign

If a = 2 and b= -1, the expression 3ab2 is equal
to
(1) 6
(2) 12
(3) 36
(4) -12

Answers

Number 4: 12 would be the answer

SOMEONE HELP ASAP PLEASE

Answers

Answer:3/4

Step-by-step explanation:

The Montoya family and the Cooper family are seeing a movie together in the theater. At the concession stand, Mr. Montoya paid $20 for 3 large popcorns and 1 large drink that his family will share. Mrs. Cooper bought 3 large popcorns and 3 large drinks and paid $30. How much does each item cost?

Answers

Answer:

Both items cost $5 each

Step-by-step explanation:

Given data

let popcorn be x

and drink be y

Mr. Montoya paid $20 for 3 large popcorns and 1 large drink

so

3x+y= 20-------------1

and

Mrs. Cooper bought 3 large popcorns and 3 large drinks and paid $30

so

3x+3y= 30----------------2

solve 1 and 2 above

3x+y= 20

y= 20-3x

put y= 20-3x in eqn 2

3x+3(20-3x)= 30

3x+60-9x= 30

collect like terms

3x-9x= 30-60

-6x= -30

x= 30/6

x= $5

put x= 5 in y= 20-3x

y= 20-3*5

y= 20-15

y= $5

4 times the sum of 34 and 8​

Answers

Answer: 168

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

34+8=42

42x4=168

Fast because there’s a time limit on this

Answers

It’s a or c I think have a nice day

Answer:

B. 36

Step-by-step explanation:

The pattern is multiplying by 3. You can figure this out by dividing 12 by 4 (which is 3) and 324 by 108 ( which is also 3). Then all you have to do is multiply 12 by 3 which is 36!

I hope this helps, and have a great day! :)

Write the equation of a line with slope = 4 and y-intercept = -2

Answers

Answer:

y=4x-2

Step-by-step explanation:

the equation of a straight line is given by

y=mx+c

where m is gradient slope and c is y - intercept

y=4x-2

if y=7.2 and r= 1.1 have been rounded to 1 decimal place find the possible value of y x r

Answers

Answer:

[tex]the \: possible \: value \: of \: ( y \times r) = 7 \times 1 = \boxed{ 7} \\ or \\ ( 7.2 \times 1.1) = \boxed{ 7.9} \\ [/tex]

3
y =
+2
What is the slope


Answers

Algebra Example:

Divide each term in 3y=2 3 y = 2 by 3. Cancel the common factor of 3 . Divide y by 1 . Using the slope-intercept form, the slope is 0 .

Finaly Result: 0

Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that it takes 4.82 seconds if it actually takes 5.05 seconds then what is the percent error in Joey's measurement to the nearest 10th of a percent

Answers

Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%

Step-by-step explanation:

Step 1

Time as recorded by the stopwatch = 4.82 seconds

Real Time it takes for a Frisbee to fly through the air =5.05 seconds

percent error =   Measured value – True Value /True value  x 100.

= 4.82 - 5.05 / 5.05 x 100

=-0.23/5.05

=-0.0455 x 100

=4.5544%

Rounding to nearest 10th of a percent = - 4.6%

I need help plz ????

Answers

the answer is 128.605 m^2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Stephen read a 90-page book in 6 days. If he continues reading at that rate, how long will it take him to read a 300-page book?

Answers

hope this helllllpppppsss
20 days.
You do 90/6
Which equals 15 and divide 15 by the number of pages so 300/15 and it’s is 20

The weights of 5 adult Chihuahuas recorded by a
veterinarian are listed below. What is the median weight
of the Chihuahuas?
2,850 g, 1,880 g, 1,530 g, 1,920 g, 2,850 g
A 2,850 g
B 1,920 g
c 2,206 g
D
1,530 g

Answers

Answer:

B. 1, 920

Step-by-step explanation:

To get the median, you order from lowest to highest.

So;

1, 530  ,  1,880  ,  1,920  ,  2,850  ,  2,850

Then you find the middle ground / the number in the middle. Since it's odd, all we have to do is look at the number directly in the middle. So the answer is B. 1, 920.

Mr. Daniels is organizing a class trip on a budget of $900. The bus rental costs $600. Mr. Daniels will also buy tickets that cost $9.50 per student.
Which inequality represents the number of students, s, that can go on the trip?
A 9.55 s 600
B. 9.55 s 300
C. 9.55 s 900
D. 9.55 s 1,500
HeLP ASAP

Answers

Answer:

Mr.Daniels is a fajjett

Step-by-step explanation:

The answer is A my dude.

a group buys 6 hot dogs and 3 hamburgers for a total of $27.75. the hamburgers cost $1.75 more than a hot dog. what is he cost of the hamburger

Answers

Answer:

Cost of one hamburger = $4.25

Step-by-step explanation:

Let,

Cost of one hot dog = x

Cost of one hamburger = y

According to given statement;

6x + 3y = 27.75      Eqn 1

y = x + 1.75             Eqn 2

Putting value of y from Eqn 2 in Eqn 1

6x + 3(x+1.75) = 27.75

6x + 3x + 5.25 = 27.75

9x = 27.75 - 5.25

9x = 22.50

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{22.50}{9}\\x=2.50[/tex]

Putting x=2.50 in Eqn 2

y = 2.50 + 1.75

y = 4.25

Hence,

Cost of one hamburger = $4.25

***PLEASE HELP ASAP!!***

the word PROBLEM ONLLYYYY

Answers

Answer:

88

Step-by-step explanation:

Answer:

264 boxes of crayons

Step-by-step explanation:

HI there!

To solve this, first we have to find out how many classes there are in total to make this easier.

Since they’re giving crayons to grades K-2, That means 3 grades will be getting crayons. If there’s 4 classes in each grade, multiply 4 by 3 to find the total amount of classes, which is 12.

Now to find the total amount of crayons, we multiply 12 by 22 to find the total amount of crayons bought.

They need to buy 264 boxes of crayons.

Hope this helps!

a vendor buys lemons at 25 rupees Per dosan and sells them at rate of 5 for 12 rupees find his gain or loss percent​

Answers

Answer:

25/12

Step-by-step explanation:

Jill brought 6 1 3 boxes of carrot muffins for a bake sale. Mike brought 1 3 4 boxes of apple muffins.

Answers

Answer: 8 1/12

Step-by-step explanation:

The remainder of the question is:

What is the total number of boxes of apple Jill and Mike brought to the bake sale?

This will be the addition of both fractions which will be:

= 6 1/3 + 1 3/4

The LCM of 3 and 4 is 12

= 6 4/12 + 1 9/12

= 7 13/12

= 8 1/12

TRUE OR FALSE:

4(6a + 8) = 10a + 12

Answers

Answer: the answer is true

Answer:

This is False for sure

Lyla is ordering pizza for a party. She can get 3 large pizzas for $26. At this
rate, what will 12 large pizzas cost?

Answers

Answer:$104

Step-by-step explanation:

About 104$ for 12 pizzas

Express each given number in fraction forms.

1)12
2)5.17
3)0.08
4)0.08375
5)2.50

Answers

1) 12/1

2) 517/100

3) 2/25

4) 67/800

5) 5/2

At a dog park, there are 10 black dogs, 5 brown dogs, 2 white dogs, and 12 multi-color dogs.
For every 1 brown dog, there are 2 ________? What?

Answers

Answer:

Black dogs

Step-by-step explanation:

The ratio of brown dogs to black dogs is 5:10, which simplifies to 1:2.

Answer:

the answer is black dogs

Step-by-step explanation:

5 is half of 10 and 1 and 2 are related via halfs so if brown dogs are 1 then black dogs are two. hope i helped pls mark me brainliest i just need one more please and thank you

3x(x − 2) + 2 x=6
i really need help

Answers

This equation if finding x would be 88

Morgan was holiday shopping and spent $83 on gifts. She bought 7 candles and spent $6 on lunch for herself. How much did she spend on each candle?

Answers

$11

Step-by-step explanation:

$83 to begin with

-$6 for her lunch

$77 dollars leftover

If she bought 7 candles, each candle has to be $11 bc 77÷7=11

Hope this helped <3

Answer:

she spent 11 dollars on each candle

Step-by-step explanation:

What is the slope of the line through the points (-6,3) and (-7,-4)

Answers

Answer: The slope my friend is 7.

What is the difference between 10 and 12?

Answers

2why does this need to be 20 letters longi

Answer:

there is 2 spaces between them, and that 10 has 2 factors and 12 has 3 factors.

Step-by-step explanation:

Chanasia has 11.25 gallons of paint. She wants to use 2 5 of the paint to paint her living room. How many gallons of paint will Chanasia use?

Answers

Answer: 4.5 gallons

Step-by-step explanation:

From the question, Chanasia has 11.25 gallons of paint and she wants to use 2/5 of the paint to paint her living room.

The number of gallons of paint that Chanasia will use would be calculated by multiplying the fraction by the total gallons of paint. This will be:

= 2/5 × 11.25

= 0.4 × 11.25

= 4.5 gallons

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