2x-y=3 ; 5x+2y=30 solve using elimination

Answers

Answer 1

Answer:

x = 4, y = 5

Step-by-step explanation:

[tex]2x-y=3\\4x-2y=6[/tex]

so:

[tex]4x - 2y = 6\\+ 5x + 2y = 30\\9x= 36\\x=4[/tex]

Substitute this into 2x - y = 3:

[tex]8-y=3\\y = 5[/tex]


Related Questions

An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?

Answers

Answer:

798

Step-by-step explanation:

So, 21*{2*18 + (21-1)*2}/2

= 21*{36 + 20*2}/2

= 21*{36+40}/2

= 21*76/2

= 1596/2

= 798

Total number of seats is 798

Given that;

Number of seats in first row = 18

Number of rows = 21

Each row added number of seats then previous = 2

Find:

Total number of seats

Computation:

Total number of seats = Sn = (n/2)[2a + (n-1)d]

Total number of seats = Sn = (21/2)[2(18) + (21-1)2]

Total number of seats = (21/2)[36 + (20)2]

Total number of seats = (21/2)[36 + 40]

Total number of seats = (21/2)[76]

Total number of seats = (21)(38)

Total number of seats = 798

Learn more:

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Pls answer asap, brainilest will be given to best answer, and best explanation.

Answers

Answer:

it should be D

Step-by-step explanation:

because A is going at y=30x, and B is slower than it. So there's only one choice that matches. which is y=15x

HELLOOOOOooOOOoOooOO
HELP MEEEEEEEEEEEEE

Answers

Answer:

it is axes

Step-by-step explanation:

Answer:

I guess its Axes and coordinate plane

Step-by-step explanation:

simplify 6 radical 27​

Answers

The result can be shown in multiple forms.
Exact Form:
√2

3
Decimal Form:
0.47140452

You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points)

Answers

Answer:

The answer is 10.89. I dont know how to solve it but my dad told me this is the answer!

Step-by-step explanation:

Please give me brainliest! UnU

Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y

Answers

Answer:

Whichever one equals 3y - 3

Step-by-step explanation:

I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.

plsss help i’ll give brainly...but pls give a correct answer

Answers

Answer:

3

Step-by-step explanation:

Terms are separated by symbols for operations (like plus, minus, multiply, divide.)

So your terms would be

8y

+z

-6

last question on my test! please show some sort of work so i know its correct :) thanks! - dusty.

Answers

Answer:

this was 3 minutes ago... you still need the answer?

Step-by-step explanation:

What is the area of major sector DFE?
A. 157.86 square cm
B. 133.94 square cm
C. 132.54 square cm
D. 125.57 square cm

Answers

Answer:

Step-by-step explanation:

Area of the circle = πr² = π7.3² = 53.29π

Area of major sector = 53.29π(285/360) ≈ 132.54 cm²

The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

What is a Major Sector ?

The region bounded by the two radii and intercepted arc in a circle is called a sector .

The angle made by the radii to the center of the circle is called central angle .

if the measure of the angle is less than 180 degree then it is called minor sector and if the angle is more than 180 degree , it is called Major Sector.

It is given that

The radii of the circle is 7.3 cm

The angle subtended by the major sector at the center is 285 degree.

The area of the sector is given by

= ([tex]\rm \theta[/tex] / 360) * Area of the circle

Area of the circle is πr²

Area of the sector = ( 285 / 360) * (22/7) * (7.3)²

Area of the sector is 132.5 sq.cm

Therefore , The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

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Write the mixed number as a percent.
[tex]1 \frac{1}{4} [/tex]

Answers

125% I am pretty sure

Combine like terms: m + 11g - 7g + 7m

Answers

Answer:

4g+8m

Step-by-step explanation:

7m+m=8m 11g-7g=4g

Each letter of the word algebra is written on identical slips of paper and placed in a box of a slip of paper selected from the box without looking what is the probability that the slip of paper will not have the letter A on it.

Answers

Answer:

I have no idea sorry

Step-by-step explanation:

The measure of central angle RST is r radians.

What is the area of the shaded sector?

A. 41π units^2
B. 8π units^2
C. 16π units^2
D. 20π units^2​

Answers

The area of the shaded sector of the circle is 16π units².

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex]

sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex]

sq. units

We are given that;

θ = r radians

r = 4 units

Now,

To convert radians to degrees, we use the formula:

Degrees = Radians × 180°/π

So,

θ = r × 180°/π

Substituting these values in the formula for area of a sector, we get:

Area of a sector = (r × 180°/π / 360°) × π(4)²

Simplifying, we get:

Area of a sector = r² units²

=16π units².

Therefore, by the area of a circle the answer will be 16π units².

Learn more about area of a circle here:

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what is the scientific notation of 0.0000003​​

Answers

Answer:

This is ur answer.

Hope.it helps!!!

What is the slope of the line that passes through the points (5,−4) and (7, -4) ?Write your answer in simplest form.

Answers

Answer:

Undefined

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope of the line

[tex] =\frac{ - 4 - ( - 4)}{7 - 5} \\ =\frac{ - 4 + 4}{2} \\ = \frac{0}{2} \\ (undefined)[/tex]

Thus, the slope of the line is undefined.

(Since 2 cannot be divided by zero)

Notice that the two coordinates have the same y- coordinate of -4. This means that the line is a vertical line. Vertical lines have undefined slopes.

please i need HELP x+y=15 , x-y=3
and

Answers

Answer:

x=9

y=6

Step-by-step explanation:

x+y=15 .............(i)

x-y=3...........(ii)

Subtracting equation (ii) from equation (i)

or,  x+y -(x-y)=15-3

or,  x+y-x+y=12

or,  2y=12

or,  y=12/2

∴y=6

Now,

       Putting the value of y on equation (i),

or,  x+6=15

or,  x=15-6

∴x=9

Help me please ........

Answers

Answer:

Step-by-step explanation:

Find the value of x.

Answers

X=4 (Option B)
The “c” is equal to 4sq.root2. In the rules and the diagram attached, the “c” side has the root 2 attached to the a, so the answer is 4.

½×10×8.2 explain with answer​

Answers

41.
Take 10 * 8.2 (Easier this way)
You get 82.
Take 82 *1/2 (or divide by 2)
You get 41.

Answer:

41

Step-by-step explanation:

1/2 x 10 x 8.2

We will convert the decimal to fraction first

1/2 x 10 x 41/5

Then we will reduce the numbers with the greatest common factor (5)

5 x 41/5

We will remove the fives since they are the common factors

And we will remain with the answer 41

Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21 comic books. What is the ratio of sci-fi novels to comic books?

Answers

Answer:

4:21

Step-by-step explanation:

since she read 4 sci-fi novels and 21 comic books, you put 4:21.

Will mark brainliest

Answers

Answer:

A and C are the right answers

Step-by-step explanation:

Top row only

3 out of the 12 squares are shaded in therefore 3/12 which you can simplify into 1/4

Left column only

3 out of the 6 squares are shaded in therefore 3/6 which you can simplify into 1/2

I agree I think the correct answers are A and C

in klm the measure of m=90 the measure of l=68 and mk=2.5 feet. find the length of kl to the nearest tenth of a foot

Answers

Answer:

2.7

Step-by-step explanation:

Find the length of a side of a square if its area is:
0.49 square units

Answers

Answer:

Side = 0.7 units

Step-by-step explanation:

Area of a square = 0.49 sq. units

Side² = 0.49

side² = [tex]\frac{49}{100}\\\\[/tex]

[tex]side = \sqrt{\frac{49}{100}}=\sqrt{\frac{7*7}{10*10}}\\\\sides=\frac{7}{10}=0.7[/tex]

Evaluate the expression for the value given.
6a
4a; when a = 2

Answers

Answer:

20

Step-by-step explanation:

6(a)+4(a).

6(2)+4(2)=12+8=20

final answer is 20

the answers are
6a= 12
4a= 8

What is (are) the solution(s) to the equation 23x−3=−13x−6?

Answers

From Question ,
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans

Hope this helps !

Please mark it as the brainliest

It costs $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult and one child to attend the show? Set up and solve a system of equations using substitution.

Answers

Answer:

For one adult it costs $15

For one child it costs $10

Step-by-step explanation:

So..

One adult = $15

Two children = $20 10×10

= $35

Then..

Two adult = $30 15×15

Three children = $30 10×10×10

= $60

Plz mark brainliest thanks

Will give brainlist for correct answer.

Answers

-5,-1 is the correct answer

Answer:

(-5, -1)

Step-by-step explanation:

When two lines intersect, their x and y values are equal. So,

x = 3y - 2 must equal -7 - 2y = x

x = 3y - 2 = -7 - 2y = x

Let's look at the two middle equations and solve for y.

3y - 2 = -7 - 2y

Add 2y to both sides

5y - 2 = -7

Add 2 to both sides.

5y = -5

y = -1

Now, let's find x. You can use either equation for this step.

When y = -1, then 3y - 2 =

(3)(-1) - 2 = -3 - 2 = -5

So, x = -5, and y = -1

Thus, the answer is (-5, -1)

I hope this helps! Feel free to ask any questions!

help pls!!! im not sure on this

Answers

Answer:

10

Step-by-step explanation:

The answer is x=10 because you subtract both 80 and 40 from 180 using the triangle sum theorem with than remaining you should have 60. 60= 6x you divide that answer to get 10

I have one question, i'll give ya'll 50 points!

Answers

Answer:

it's A you're right

...................................................

Answers

Answer:

Brand A

Hope this helped!

Step-by-step explanation:

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