— 3х + 9y = — 21
— 3х +8y = -18
find the solution by system of equations

Answers

Answer 1

Answer:

x=-2,y=-3

Step-by-step explanation:

x=7+3x

-3x+8y=-18

-21-y=-18

x=7+3x

y=-3

x=7+3x

x=-2

y=-3

Answer 2

Answer:

x = -2

y = -3

Step-by-step explanation:

There are three methods for solving system of equations: elimination, substitution, and graphing. In this case elimination would be the best method since you have -3x for both equations. When solving by elimination, your goal is to eliminate one of the variables, in this case we will eliminate x. Subtract the bottom equation from the top (it is important to remember here that the negative will distribute to the entire equation).

-3х + 9y = -21

- (- 3х +8y = -18)

_____________

y = -3

Now plug this y-value in to either equation and solve for x

-3х + 9y = -21

-3х + 9(-3) = -21

-3x - 27 = -21

-3x = 6

x = -2

Check your answer by plugging both values in to the second equation

- 3х +8y = -18

- 3(-2) +8(-3) = -18

6 - 24 = -18

-18 = -18


Related Questions

if a point a device line segment a b of length 10 centimetre internally In the ratio 2:3 then find the length of a d ​

Answers

Given:

Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.

To find:

The length of ad.

Solution:

If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.

We know that,

[tex]ab=ad+db[/tex]

Length of the segment ab is 10 cm.

[tex]10=2x+3x[/tex]

[tex]10=5x[/tex]

Divide both sides by 5.

[tex]2=x[/tex]

Now,

[tex]ad=2x[/tex]

[tex]ad=2(2)[/tex]

[tex]ad=4[/tex]

Therefore, the length of segment ad is 4 centimetres.

helpppppppppppppp hutrryyyyyy for BRIANLESSSTTTTT 10 points !!!!!!!!!

Answers

Answer:

32

Step-by-step explanation:

32 hope that helps as

Complete steps 2 and 3 to solve the system of equations.

y = 4x – 5,

y = –3

Answers

Answer:

Point form: ([tex]\frac{1}{2}[/tex],-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

Pls helpppppppppl!!!!

Answers

Answer:

I dont really understand it but I think it's the first one cuz that's the only one that makes sense to me hope it helped tho:))))))))

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

4x1=4

4x2=8

4x3=12

and it keeps going

hope this helps

Please do 37,39,41 kskdkjdnd sorry please and ty!!!!

Answers

37: 1 yard
39: to
41: 21000 mm

Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes

Answers

x+10*=4x-32*4x-x=32+103x=42*×=14*

14x4=56*-32*=24*

from E to B is 180 degree so take 180-24=156*

angle EMQ is equal to angle DMB so=156 degree

answ=156

True or false? When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the vertical method is more accurate than the horizontal method.

Answers

Answer:  FALSE

Step-by-step explanation;

2y-4x=-18 slope intercept form

Answers

Answer:

y=−2x−9

Step-by-step explanation:

Hello,

Solving Process:
1. Isolate y
2. Make coefficient of y equal 1

Steps:
1. (2y - 4x) / 2 = 18 / 2
2. y - 4x = 9
3. y = 4x + 9 <<<<

Good luck to you!

HELP NOW WITH EXPONENTS

Answers

PLZ MARK BRAINLIEST! :)

Answer:

[tex]7^{12}[/tex]

Step-by-step explanation:

When you divide two numbers that have exponents and have the same base, just subtract the exponents. In this case, 7 is the base of both the dividend and the divisor. So, simply subtract 14 - 2 to get 12. The final answer is [tex]7^{12}[/tex].

Hope this helps! :)

Identify an equation in point-slope form for the line perpendicular to
y = 1/4 x-7 that passes through (-2, -6).

Answers

Answer:y=-1/4x+3

Step by step explanation: i cant explain it

I don't know what to do with this one????!!!!!

Answers

Answer:

Step-by-step explanation:

height of post ÷ length of shadow = 2/10 = ⅕

height of tower is ⅕ the length of its shadow.

⅕×125 = 25

The tower is 25 feet tall

solve using the box method

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Just SIMPLIFY the given EQUATION or find the DIFFERENCE}\\\large\text{OF the SQUARES... Here is the formula: }\mathsf{\bf a^2 - b^2 =(a+b)(a-b)}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(4x^2-9)}{(2x + 3)}}[/tex]

[tex]\large\text{Rewrite }\mathsf{ 4x^9 - 9}\large\text{ in the formation of }\mathsf{a^2 - b^2}\large\text{ whereas}\mathsf{a = 2x \ \&\ b = 3.}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(2x)^2-3^2}{2x + 3}}[/tex]

[tex]\large\text{This is where you try to do the DIFFERENCE OF its SQUARES}[/tex]

[tex]\mathsf{\dfrac{(2x + 3)(2x - 3)}{2x + 3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{(2x + 3)\ - (2x +3)}\large\text{ because it gives you 0}[/tex]

[tex]\large\text{This leaves us with }\mathsf{\bf 2x - 3}\large\text{ as your POSSIBLE ANSWER}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 2x - 3}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\large\text{Note: There is/are many ways to solve for equations like this.... this was just}\\\large\text{the quickest and easiest way to understand it!}[/tex]

Consider -152 ÷ 19. Which statements are correct?
A) -152/19 = -8
B) 19/ -152 = -8
C) -152 ÷ 19 is rational
D) -152 ÷ 19 us irrational
E) -152 ÷ 19 = -152/19

Answers

Answer: A, C, E

Explanation:
-152/19 = 8
-8 = -8 ✅
-152 ÷ 19 = -8 the number -8 can be written as a fraction so it’s rational
-152 ÷ 19 = -152/19
-8 = -8 ✅

The Furlani’s went on a road trip. Driving at a constant speed for 2 hours, they covered 120 miles of their trip. If their destination is 600 miles away, how long will they be driving?

Answers

Answer:

They will be driving for a total of 10 hours or 8 more hours than they've already traveled.

Which of the following is an example of a linear monomial?
Group of answer choices

3x+2

4x2

x2−5

−5x

Answers

B and c. The other two are not monomials

Answer:

-5x, monomial comes from the word "mono" means "one"

I need help with this.
I need to find both A and B, I’m just lost at this point

Answers

They both look to be at 100 degrees

PLEASE BEED HELP ASAP​

Answers

Answer:

1. Complementary Angles.

2. x=60°

Step-by-step explanation:

Part 1:

*Note: A complementary angle is when the sum of two angles equal 90 degrees. A Supplementary angle is when the sum of 2 angles equals 180 degrees.

In this instance, the 2 angles equal 90 degrees, as indicarted by the box on the angle. Therefore, the the angles are complentary.

Part 2:

1. Since we know that the sum of the two angles (x-30 and x) is 90 degrees, we can write an equation which says: (x-30) + x=90.

2. Then we'd simplify the equation by adding the like variables, and adding 30 to both sides:

2x=120

3. Now we will divide both sides by 2

[tex]\frac{2}{2} x=\frac{120}{2} \\x=60[/tex]

4. As a result, we get x=60, now label your answer with the degree sign, and enjoy your answer.

1. Find the volume of each cylinder ( use = 3.14 )

Answers

Answer:

1. volume = 1243.44ft^3

2. volume = 54259.2ft^3

please explain how to do this

Answers

Answer:

27.4

Step-by-step explanation:

Use your calculator for this.

Remember, use SOH CAH TOA

We have an opposite (O) and an adjacent side (A), so we use SINE

sin(41)=18/X......following?

Now, solve for X by multiplying both sides by X......sin(41)(X)=18

Then, divide both sides by sin(41).

Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!

Answer:

x = 11.8

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 41 = [tex]\frac{18}{x}[/tex]

⇒ 0.656 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides:

⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 11.808 = x

round to the nearest tenth:

⇒ 11.808 = 11.8

there is the screenshot

Answers

Answer:

11 Tenths

Step-by-step explanation:

Withouth the tenths, the bottom number would be 1.05. So we need 1.10 or 11 more. 10 tenths is one whole plus the 1 tenth we need to put in the tenths place.

help me with this please

Answers

Answer:

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

Step-by-step explanation:

Given: Quadrilateral ABCD is a kite. Prove: ΔAED ≅ ΔCED Kite A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point E. It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see that ED ≅ ED by the property. Therefore, we have that ΔAED ≅ ΔCED by .

Answers

Answer:

1. kite 2. perpendiclular 3. reflective 4. HL

Step-by-step explanation:

I hope this helps :)

Answer:

We know that AD ≅ CD by the definition of kite. By the kite diagonal theorem, AC is perpendicular to BD. This means that angles AED and CED are right angles. We also see that ED ≅ ED by the reflexive property. Therefore, we have that ΔAED ≅ ΔCED by HL.

Step-by-step explanation:

We know that AD ≅ CD by the definition of kite.

- adjacent sides in a kite are congruent

By the kite diagonal theorem, AC is perpendicular to BD.

- the kite diagonal theorem states that diagonals of a kite form right angles because they are perpendicular to each other.

We also see that ED ≅ ED by the reflexive property.

- any side or angle congruent to itself is identified by the reflexive property

Therefore, we have that ΔAED ≅ ΔCED by HL.

- the triangles formed are all right triangles, so we can they that the two triangles are congruent to each other by the Hypotenuse Leg theorem.

160 bananas;20%decrease

Answers

Answer:

128 banana's... I would work it all out for u but the teacher just came in my room and had a go

Answer: 128

Step-by-step explanation:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

20% = 20/100 = 20 ÷ 100 = 0.2.

100% = 100/100 = 100 ÷ 100 = 1.

SOS PLEASE HELP
write the equation for this line

Answers

If this is for slope-intercept, the equation is: y = 3x + 1

To find the slope, you would find the rise over run ( [tex]\frac{rise}{run}[/tex] ). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So, [tex]\frac{3}{1}[/tex], or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is y = 3x + 1.

If you have any further questions, please reach out to me :)

what is 72% of 250? I need help I have a d in math

Answers

Answer:

180

Step-by-step explanation:

72% of 250

72% x 250

72/100 x 250 = 180

I hope im right!!

The answer is 180
72/100*250= 180

Write an equation in standard form for the line.
Slope is 3, and (1, 6) is on the line.

Answers

Answer:

Step-by-step explanation:

m = 3

(1 , 6)

y - y1 = m(x -x1)

y - 6 = 3(x - 1)

y - 6 = 3x - 3

    y = 3x - 3 + 6

    y = 3x +3

Standard form:

-3x + y - 3 = 0

pls help will give brainliest when i can ​

Answers

Angle 1 is corresponding to angle 5.
This is where one angle has the same relative position as another angle.

Please answer!!! I’ll make brainliest

Answers

Answer:

x = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

6

Step-by-step explanation

Ordered triples only apply to right triangles

3,4,5 is an ordered triple

multiply (3,4,5) by 2 and you get (6,8,10)

the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.

-------------------

That is just a way to do it quickly and it does not always apply.

the formula for Pythagorean and theorem is a^2+b^2=c^2

a=leg of the triangle

b=other leg of teh triangle

c=hypotenuse(longest leg)

as we can see here 10 is the longest so it is the hypotenuse.

So then we can assume that 8 is a leg of the triangle

so we insert that into the equation

a^2+8^2=10^2

subtract 8^2 from both sides

a^2=10^2-8^2

a^2=100-64

a^2=36

square root both sides

a=√(36)

a=6

Hope that helps :)

I KNOW THIS ISNT MATH BUT PLEASE HELP! Which statements describe the
mountains region? Check all that apply

. It is the least populated region in the state

Its largest metropolitan area surrounds Asheville

It has a fall line running through the region's center

It has become a big industry for Christmas trees

It draws many people for outdoor adventures

It has large urban areas where most people live​

Answers

Answer:

lots of stuff

Step-by-step explanation:

snow lava and stone frfr

Answer:

I think A and D and E and maybe B

Step-by-step explanation:

(im not sure if they r right though)

.grill: $85, 15% mark up

Answers

Answer:

$12.75

Step-by-step explanation:

total: 85*(1+15%)=$97.75

marked up: 97.75-85=$12.75

brillianst!!!!!!

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