Find the solution of the system of equations.
-2x - 9y = -3
--7x - 9y = -33

Answers

Answer 1

Answer:

x = 6 and y = -1

Step-by-step explanation:

hope this helps

Answer 2

Answer:

x= 6 and y= -1

Step-by-step explanation:

-2x - 9y = -3

-7x - 9y = -33

I'm going to be solving by elimination. However, you can solve using substitution as well.

So the first step is to eliminate one of the variables. In my opinion, what's easiest is eliminating the y variables. To eliminate you want to variables (that are the same) to equal 0 and cancel out. To do this, all I have to do is subtract. When I subtract I get 0 as shown below. I will also subtract the other variables and numbers in the equations because that's how elimination works.

-2x - 9y = -3

-7x - 9y = -33

5x = 30

-2 - (-7)=5 and -3 - (-33)= 30

There's no solution for the y variable because -9 - (-9)=0, which cancels out so it doesn't have to be written.

after that you get x=6 because you divide by 5 on both sides.

All that's left is to plug in 6 to one of the equations:

-2(6) - 9y= -3

-12 - 9y= -3

+12         +12

-9y= 9

Divide both sides by -9 to get y= -1


Related Questions

worth 25 help and show work :)

Answers

Answers:

x = 7*sqrt(3)

y = 7

===========================================================

Explanation:

We have a 30-60-90 triangle here since the missing acute angle is 90-60 = 30 degrees. Or you could note how 30+60+90 = 180.

The side length y is the shorter leg as it's opposite the smallest angle. It's equal to half of the hypotenuse. So y = 14/2 = 7.

The longer leg x is equal to y*sqrt(3). We multiply the shorter leg by sqrt(3) to get the longer leg. This means

x = y*sqrt(3) = 7*sqrt(3)

----------

You could also use the pythagorean theorem if you knew that y = 7 and you had the hypotenuse value as well. You could solve like so

a^2 + b^2 = c^2

7^2 + b^2 = 14^2

b^2 = 14^2 - 7^2

b^2 = 147

b = sqrt(147)

b = sqrt(49*3)

b = sqrt(49)*sqrt(3)

b = 7*sqrt(3)

Which matches up with the value of x we found earlier.

student will randomly select a tile from a bag containing one red one yellow one blue and one green tile and then roll a cube with faces numbered 1 through 6 what is the probability that a student draws a red or yellow towel in rolls a number between 1 and 3 enter your answer as a percentage to the nearest percent
I NEeD My BRiAnLiEsT PeRsOn​

Answers

Answer:

25%

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

P(red or yellow) = 2*1/4 = 1/2

And a cube faces 1 to 3:

P(1 to 3) = 3*1/6 = 1/2

Probability of the two events above:

1/2*1/2 = 1/4 = 25%

Seamus draws a triangle with angles of measures 40°, 60°, and 80°. Edwina draws a triangle with these same three angle measures. Which statement must be true?
A Edwina's triangle is the same size as Seamus's triangle.
B Edwina's triangle is the same shape as Seamus's triangle.
C The perimeter of Seamus's triangle is greater than the perimeter of Edwina's triangle.
D The area of Edwina's triangle is less than the area of Seamus's triangle.​

Answers

Answer:

It may be D or A hopeit helps

Step-by-step explanation:

Is Michael correct? Will choose brainly

Answers

Yes michal is forrest

The average winter snowfall for Syracuse, New York, for December, January, February is 27.5 inches per month. If Syracuse receives 24 inches of snow in December and 32 inches in Januar how much snow is required in February to exceed the 3 month average?​

Answers

Answer: More than 26.5 inches

Step-by-step explanation:

Solve this equation :

[tex]\frac{32+24+x}{3} \geq 27.5[/tex]

x>26.5

7,485 divived by 6 equals

Answers

1247.5

Hope this helps :T

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle​

Answers

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

Cory has $24 more than twice as much as Stan. Together they have $150. How much money dose each have ?

Answers

Answer:

99 and 51

Step-by-step explanation:

The problem would be shown as:
2x+24 + x = 150

x is the amount of money Stan has.

Do the math and X=42. Then Plug everything in:

The answer is Cory has $108, Stan has $42.

What is the measure of RST? S O A. 158° 07 O B. 790 G. 689 R D. 2020 158°​

Answers

The measurement would be 790 because
the angles is

In circle Z, BZ = FZ, BZ 1 CA, FZ 1 DC DF = 18 in.
What is BC?

Answers

Answer:

18 in.

Step-by-step explanation:

I just took the quiz

Answer:

The dimenssion of BC is - 18in.

Step-by-step explanation:

Definition of circle:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

Step 1:

in Δ[tex]ZFC[/tex] and Δ[tex]ZFD[/tex]

[tex]ZD = ZC[/tex] ( Radius of the circle will be same )

[tex]ZF= ZF[/tex] (Common side in both triangle)

[tex]$\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C][/tex]

So from Side Angle Side theorem,

[tex]$\triangle Z F C \cong \triangle Z f D$[/tex]

So, [tex]$F C=F D=18 in.[/tex]

Step 2:

[tex]$\triangle B C Z$[/tex] and [tex]$\triangle F C Z$[/tex]

[tex]$B Z=F Z \quad$[/tex] (Given)

[tex]CZ = CZ[/tex] (Common side in both the triangle)

[tex]$\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$[/tex] and [tex]$$\overline{F 2} \perp \overline{D C}]$$[/tex]

So from sides side angle theorem,

Δ[tex]BCZ[/tex]≅ Δ[tex]FCZ[/tex]

So, [tex]BC = FC[/tex]

Hence [tex]BC = 18in.[/tex]

Learn more about Circle here,

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PLEASE !!! HELP QUICKLY !!!


Some credit cards offer a low introductory APR for a set period of time. After the introductory period is over, the APR is increased to a new rate. According to the sample credit card disclosure agreement, after a period of ,_______ the APR will increase to ______.

Blank 1 options (one month, six months, one year)
Blank 2 options (8.99%, 10.99%, 12.99%, 14.99%, 28.99%)

Answers

Answer:

1 Year & 14.99%

Step-by-step explanation:

Solve the system of equations. 2 x − 6 y = 5 x + y = 2 no solution ( 17 8 , − 1 8 )

Answers

Answer:

it seems you have made a typo

Step-by-step explanation:

The probability distribution for a
random variable x is given in the table.
-5
3
-2
0
2
3
Probability
117
.13
.33
-16
11
-10
Find the probability that x<-3

Answers

Answer:

[tex]P(x \le -3) =0.30[/tex]

Step-by-step explanation:

Given

The attached probability distribution of x

Required

Find [tex]P(x \le -3)[/tex]

To do this, we consider all values of x less than or equal to-3.

So, we have:

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

From the table:

[tex]P(x=-5) = 0.17[/tex]

[tex]P(x = -3) = 0.13[/tex]

So, the equation becomes

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

[tex]P(x \le -3) =0.17 + 0.13[/tex]

[tex]P(x \le -3) =0.30[/tex]

As the teams fundraiser,Agnes and Betty both sold candy bars at the end of the fundraiser Agnes determined that she sold 8 more candy bars than Betty sold if Agnes and Betty sold a total of 348 candy bars how many did Betty sell the

Answers

Answer:

356

Step-by-step explanation:

A shark swims at a constant rate of
25
miles per hour. If
h
represents the number of hours, and
m
represents the total number of miles the shark swims, which equation correctly represents the relationship?

Answers

M=25 x h

hope this helps :))

WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!

Answers

Answer:

where's the question???

Step-by-step explanation:

Step-by-step explanation:

Volume of cylinder=πr²h

What is the perimeter of the triangle

Answers

Answer:30 centimeters

Step-by-step explanation:

The bigger square with an area of 144 cm squared has a perimeter of 100 with each side equal to 25. You find this by seeing that 25 times 25 equals the area of the square. Same thing with the smaller square 5 times 5 equals 25. Now that we have the perimeter for the sides that are connected to the square (25) and (5), multiply those together just as you would with finding the area of a square. (25)(5)=60. Since this is a triangle you divide your answer in half which is 30.

Solve the equation 23+n=29 using the inverse operation.

Answers

Answer:

n=6

Step-by-step explanation:

i used math-way :P

During the holiday season,
9,456 people visit the mall
every day. How many
people visit the mall in 7

Answers

7 what? Days, years, weeks? I’ll answer if I can get that info :)

What is the surface area of the composite figure shown?

Answers

Answer:

531 m²

Step-by-step explanation:

9x9x5=405 (5 sides that are 9x9, including the bottom)

1/2x9x7x4=126 (4 triangles on top)

405+126=531

HELP!?? Please hurry due today!!!!

Answers

Answer:

348m^2

Step-by-step explanation:

Which graph represents the parametric equations x = 3t and y = One-halft3 – 1, where –2 ≤ t ≤ 3?

Answers

Answer:

D

Step-by-step explanation:

EDG 2021

Answer:

D is the answer

Step-by-step explanation:

Create a table and a graph from the equation y=4x

Answers

((((/((:):):!:!:$3$3$37;

find the missing side lengths

Answers

Answer:

Step-by-step explanation:

first use tan Ф = opp /adj      to find x         tan(30) = √3 / 3

then use sin Ф = opp / hyp   to find y         sin(30) = 1/2

       tan(30) = (√3) / 3  =  x / 48

                           x = (48√3) / 3

                          x = 16√3

        sin(30) = 1/2  = x / y

                        y  =  x / (1/2)

                        y  =  2x        x = 16√3

                        y  =  2[16√3]

                        y  =  32√3

 

check  using      a² + b²  = c²

             x² + 48² = y²

            (16√3)² + 48² = (32√3)²

           256 · 3  + 2304  =  1024 · 3

           768   +  2304   =   3072

                         3072  =  3072

HELPPPP!!!!! What is the value of y?
B
60
А
5
с
Enter your answer, as an exact value, in the box.
y =

Answers

Answer:

y = 8.66

Step-by-step explanation:

tan 60° = y/5

1.7321= y/5

y = 8.66

help with math please giving lots of points!

Answers

Answer:

9)

1 2/3 ÷ 2 1/4 = 5/3 x 4/9 = 20/27

10)

3 3/5 ÷ 1 3/4 = 18/5 x 4/7 = 72/35

What figure can be made using the net shown?

a triangular prism
a rectangular prism
a triangular pyramid
a rectangular pyramid

Answer:
A rectangular pyramid

Answers

Answer:

rectangular pyramid

Step-by-step explanation:

just took the test

The figure can be made using the net shown is a rectangular pyramid.

What is Difference between Pyramid and Prism?

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

Pyramids and prisms are both three-dimensional solids with flat faces and bases.

Yet, a pyramid only has one base, whereas a prism has two bases that are identical.

Here, the base is rectangular then the figure shows A rectangular pyramid.

Learn more about Prism and Pyramid here:

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Which shape has the least lines of symmetry?

Answers

Answer:

A

Step-by-step explanation:

B, C, D are all symmetrical

Answer:

a

Step-by-step explanation:

since B, C, D are all symmetrical it should be a

A water storage tank is cone shaped. The radius of the tank is 20 feet and the height of the tank is 35 feet.

Study the figure below...
20 feet...
35 feet...

Which measurement represents the volume of the water storage tank

Answers

not sure exactly but it has something to do with 20 feet and 35 feet

Flip-flop sets are on sale at buy
one, get one half-off. Maria and
Jackie each decide to get a pair.
The flip-flops are priced at $24.00.
If they decide to split the total
evenly, then how much will each
pay?

Answers

The answer would be $18. If they were both to get a pair and if you buy one get one half off that would be 24+12=36 since the second pair is half off. Then they split the total evenly so 36/2=18. That means each must pay $18.
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