What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)

Answers

Answer 1

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1


Related Questions

the cube has a side length of 0.8 meters

work out the total surface area of the cube
give your answer in square centimeters

show your working out
------------------------------------please help------------------------------------------------------------------------

Answers

Answer:

you go to the teacher and ask for help

Step-by-step explanation:

get up take paper toteacher and ask

1. There are 15 girls and 12 boys in Mrs. Johnson's mathclass. Express the ratio of boys to girls in simplest form.

Answers

Answer:

4        :5

Step-by-step explanation:

boys : girls

12      : 15

Divide each by 3

12/3    : 15/3

4        :5

If a=-3/2 b=5/4 and c=7/8 prove that a(b+c) = ab +ac.
Thank you in advance

Answers

Answer:

You would figure this out by the method of substitution

Step-by-step explanation:

a= -3/2

b= 5/4

c=7/8

a(b+c) = a(b)+a(c)

Substitute

-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)

-51/16 =-51/16

What is 12.5÷2.4 and what are the steps

Answers

Answer:

5.2083bar

Step-by-step explanation:

Answer:

5.208333333

Step-by-step explanation:

divied 12.5 by 2.4

A transformation of ASTV results in AUTV.
т
Which transformation maps the pre-image to the image?
dilation
reflection
un
rotation
th
translation

Answers

Answer: Reflection

Step-by-step explanation:

After reflection it maps the pre-image to the image.

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A transformation of ΔSTV results in ΔUTV.

Now, We can see the image of triangles,

After reflection it maps the pre-image to the image.

Thus, The correct transformation which maps the pre-image to the image is, Reflection.

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ7

Ramona is training to run her first marathon, 26.2 miles. One kilometer is equal to approximately 0.62 miles. About how many kilometers is Ramona planning to run?



0.24 kilometers

16.25 kilometers

26.2 kilometers

42.25 kilometers

Answers

Answer:

42.25

Step-by-step explanation:

26.2 miles/ 0.62 miles= 42.25

Answer:

42.25

26.2 miles divided by 0.62 miles= 42.25

Step-by-step explanation:

(-42.27,4.4) and (2.27,3.1) what is the slope?​

Answers

Answer:

i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

HELP KEY FOR SLOPE RIGHT HERE!

Using the Slope Equation:

Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

How do you calculate rise over run?

Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.

What does a slope of mean?

The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.

How do I find slope?!

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)

PLEASE GIVE ME BRAINLIEST! have a great day.

Ray has 3 gallons of maple syrup. He
fills nine 1-quart bottles with syrup and
gives them away. How many quarts of
maple syrup does Ray have left?
(1 gallon = 4 quarts)

Answers

Answer:

3 quarts

Step-by-step explanation:

hey guys can uhelp me with my question please help no one is answering :(

Answers

Answer:

Step-by-step explanation:

1)

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

m=(9-0)/(7-4)

m=9/3

m=3

2)

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

m=(4-2)/(6-9)

m=2/(-3)

m=-2/3

3)

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

m=(3-(-1))/4-4)

m=4/0

m=undefined

(vertical line)

Two trains leave the same station at the same time
and travel in opposite directions. One train travels
at 80 kilometers per hour and the other at 100
kilometers per hour. In how many hours will they
be 900 kilometers apart?

2 hours
3 hours
4 hours
5 hours

Answers

Answer:

D. 5 hours

Step-by-step explanation:

rt=d

rt+rt=900

80t+100t=900

180t=900

18t=90

2t=10

t=5

5 hours

80*5+100*5=900

HELLO, I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ

Answers

Answer:

-1(2+x)

Step-by-step explanation:

in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x

Answer:

(-1)·2+(-1)·ₓ = -1 (2+x)

Step-by-step explanation:

distributive property: ab +ac = a(b+c)

in this case a=-1, b =2, c =x so

(-1)·2+(-1)·ₓ = -1 (2+x)

Sin (7pie/6)= ????????????

Answers

Answer: B -1/2

Step-by-step explanation

f(x) = -4x2 + 12x – 9
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?

Answers

Answer:

[tex]D = 0[/tex]

The graph has 1 x-intercept

Step-by-step explanation:

Given

[tex]f(x) = -4x^2 + 12x - 9[/tex]

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

[tex]D = b^2 - 4ac[/tex]

Where a, b and c are derived from the following general format;

[tex]f(x) = ax^2 + bx +c[/tex]

By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]

We have

[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]

Solving further;

[tex]a = -4\\b=12\\c=-9[/tex]

So, D can now be calculated;

[tex]D = b^2 - 4ac[/tex] becomes

[tex]D = 12^2 - 4 * -4 * -9[/tex]

[tex]D = 144 - 144[/tex]

[tex]D = 0[/tex]

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

[tex]x = \frac{-b}{2a}[/tex]

Recall that

[tex]a = -4\\b=12\\c=-9[/tex]

So, [tex]x = \frac{-b}{2a}[/tex] becomes

[tex]x = \frac{-12}{2 * -4}[/tex]

[tex]x = \frac{-12}{-8}[/tex]

[tex]x = \frac{12}{8}[/tex]

[tex]x =1.5[/tex]

The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is

Answers

Answer:

670 cans of fruit

Step-by-step explanation:

sorry if this answer is wrong

6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.

Answers

Answer:

The number of seats needed is:

1889

Step-by-step explanation:

To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:  

NS = x - y

Where:

NS = Number of seats that need to be added. x = People need to be seated in the theater. y = The seats there.

Replacing the equation with the values:

NS = 15,340 - 13,451 NS = 1,889

If Lebron can run 12 laps in 2 hours, approximately how long will it take him to run 60 laps?

Answers

Answer:

10 hours

Step-by-step explanation:

Let's set up a proportion using the following setup.

hours/laps=hours/laps

We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.

2 hours/12 laps=x hours/60 laps

2/12=x/60

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.

60*2/12=x/60*60

60*2/12=x

10=x

It will take Lebron 10 hours to run 60 laps.

Can you help me with this?
|a^2| if a<0

Answers

Answer:

|(-a)²| = | a² | = a²

Step-by-step explanation:

absolute value is always positive number as well as any number squared so sign is positive no matter what

Can someone please so me how I would figure out how to do this? I believe it’s subtraction. But I’m not sure

Answers

Answer:

A.  1/12.

Step-by-step explanation:

Orville and Wilbur  ate 1/3 + 1/4

= 4/12 + 3/12

= 7/12 of the pizza.

So there was 1 - 7/12 = 5/12 of the pizza left.

So Ruth ate 5/12 * 1/5

= 5/60

= 1/12.

Each exterior angle of a regular polygon is 24º.
How many sides does the polygon have?​

Answers

Answer: 360 / 24 = 15

Step-by-step explanation :

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

15 sides

The polygon has 15 sides

360/24=15

Please help! I will mark you as brainliest!

Answers

Answer:

£290.70

Step-by-step explanation:

50x5=250

20x2=40

10x7=70

5x3=15

total = 375

375/1.29=290.697

= £290.70

Step-by-step explanation:

$50-5= 50×5

= 250

$20-2=20×2

= 40

$10-7= 10×7

= 70

$5-3= 5×3

15

then,

we add

250 + 40 + 70 + 15 = 379

£1= $1.29

$ = 1/1.29

= 379/1.29

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

try D for your answer
Answer:

81 m+27 t

[tex]solution \\ 9(9m + 3t) \\ = 9 \times 9m + 9 \times 3t \\ = 81m + 27t[/tex]

hope it helps..

Good luck on your assignment...

Please look at number 2. I’m not quite sure how I can figure that out?

Answers

Answer:

Circle graph

Step-by-step explanation:

common sense

Which could be the area of a face of the rectangular prism?

A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

[Not drawn to scale]
5 m2
6 m2
7 m2
9 m2

Answers

Answer:

6m squared

Step-by-step explanation:

cause one of the faces is 2 times 3 and that is 6m squared

Answer:

8 m^2, 12 m^2, or 6 m^2

Step-by-step explanation:

4x2=8 m^2

4x3=12 m^2

2x3=6 m^2

It depends which face you want the area of

if the string forms a straight line, how high is the kite above the ground?

Answers

Answer:

102.44 feet

Step-by-step explanation:

This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:

[tex]\sin 52= \dfrac{x}{130}[/tex]

[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!

I will give the brainiest answer

Answers

Answer:

D

Step-by-step explanation:

If you draw the shape in D and assemble it you will get the answer

btw please mark brainliest

If you draw the shape D and answer it, it is correct

PLEASE HURRY I DONT KNOW THE ANSWER

Answers

Answer:

20

Step-by-step explanation:

We can use similar triangles

12/3 = x/5

x = 20

Answer:

VS = 20

Step-by-step explanation:

ST/SV = RT/QV

SV = ST×QV/RT

= 12×5/3

= 60/3

= 20

945/7 i dont know it is confused

Answers

Answer:

135

Step-by-step explanation:

We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)

Can someone help me ASAP with this

Answers

Answer:

C

Step-by-step explanation:

Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.

Please I need help with this questions.....

Answers

Answer:

Correct

Step-by-step explanation:

This report is correct because the most people finished in 4 hours

Answer:

I think you are correct. I hope this helps please tell me if you get it right or wrong.

Step-by-step explanation:

I will give brainliest answer

Answers

Answer:

The radius of circle is 162 units

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