? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)​

Answers

Answer 1

Answer:

(4,5)

Step-by-step explanation:

Hi there!

We are given the system of equations:

5x+2y=30

-5x+4y=0

and we need to find the solution

there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable

When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively

5x+2y=30

-5x+4y=0

add the equations together

6y=30

divide both sides by 6

y=5

we found the value of y

now we need to find the value of x

substitute 5 as y into either one of the equations (ex. the first one) to solve for x

5x+2(5)=30

multiply

5x+10=30

subtract 10 from both sides

5x=20

divide both sides by 5

x=4

so the answer is x=4, y=5; as a point, it's (4,5)

Hope this helps! :)


Related Questions

help..................​

Answers

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

What is the value of x in the equation 6 +4x = 7

Answers

Answer:

x = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

6 + 4x = 7 ( subtract 6 from both sides )

4x = 1 ( divide both sides by 4 )

x = [tex]\frac{1}{4}[/tex]

Answer:

x = 1/4

Step-by-step explanation:

6 +4x = 7

collect terms

4x = 7 - 6

4x = 1

Divide both sides by 4

x = 1/4

Bye ! :-)

someone PLSSS HELP fast !! pls give rightt answer :( PLS

Answers

Answer:

the first one, 64(-1/2)^(n-1)

Step-by-step explanation:

To go from one number to the next, we first start with 64, so everything is multiplied by that. Next, 64 turns into -32, and (-32)/64 = -1/2. Similarly, 16/-32 is -1/2, and -8/16 is -1/2 as well. Therefore, we have to multiply each number by -1/2 a number of times. For example, to get from 64 to 16, we have to multiply 64 by negative one half 2 times. The only option with -1/2 in the multiplier is the first one, making that our answer

plzzzzzzzzz helpppppp.......​

Answers

Answer:

I will help ok ok heres ur answer

square root of 129 is greater than, less than or equal to 95/8?​

Answers

√129 is less than [tex] \frac{95}{8} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for √129.

➝[tex] \:\sqrt{129} [/tex]

➝[tex]\:11.3578[/tex]

Now,

➝[tex]\: \frac{95}{8} [/tex]

➝[tex]\:11.875[/tex]

Clearly,

➵[tex]\:11.3578 < 11.875[/tex]

➵[tex]\: \sqrt{129} < \frac{95}{8} [/tex]

Hence, √129 is less than [tex] \frac{95}{8}[/tex].

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

The picture is above I’ll mark as brainliest.

Answers

Answer:

22

Step-by-step explanation:

P=(8*2)+(3*2)

16+6=22

Answer:

22 inches

Step-by-step explanation:

Perimeter = 8 + 3 + 8 + 3

= 22 inches

Using the image above, which of the following are opposite rays?
Select one:
LQ and PQ
LP and QP
QP and PL
PL and PQ

Answers

Answer:

The answer is LP and QP, and PL and PQ.

Step-by-step explanation:

Do you want to know from where I got the answer?

I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.

Hope this helps.

A train travels a total of 38 km at a constant speed of 90 km/h. How long is its journey? Give your answer in minutes and seconds, to the nearest second.

I WILL GIVE BRAINLIEST TO BEST ANSWER

Answers

Answer:

3420 minutes 205,200 second.

PLSSS HELP!!!!!!!!! 20 POINTSSSSS!!!!!!!!!

In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector
AL in point D. Find BC if AD = 8 cm and DH = 4 cm.PLS EXPLAIN SO THAT A CHILD CAN UNDERSTAND.

Answers

can you put a picture, its kinda hard without a pic but the problem seems easy

The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and
width of the TV? PLEASE HURRY

Answers

Answer:

D

Step-by-step explanation:

30-60-90

Hypotenuse = 26

one side is half.

the other side is 1/2[tex]\sqrt{3}[/tex]

Hi can someone answer this question for me I would really appreciate it.

Answers

192 cubic inches

The volume of the pan, which is a right rectangular prism is length • width • height:
12 • 4 • 6 = 288 cubic inches.
That is also the volume of the water since the water is conpletely filled to the top.

If we have 1/3 of water left, that means 2/3 of the water was evaporated.

That means we will find 2/3 of the original volume of water (288 cubic inches):
2/3 x 288 = 192

Please, COM.MENT me back if my answer was correct.
IF IT IS, brainliest would be appreciated!
-SpaceMarsh, have a nice day!

simplify  ( √ 5 ) ( 3 √ 5 )

Answers

Answer:

[tex]5^\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}[/tex] can be represented as [tex]5^{\frac{1}{2}}[/tex] and [tex]\sqrt[3]5}[/tex] can be represented as [tex]5^{\frac{1}{3}}[/tex]. Therefore, the expression can be rewritten as:

[tex]5^{\frac{1}{2}}*5^{\frac{1}{3}}[/tex]

The rule for multiplying two exponents with the same base is you add the exponents. For example: [tex]x^m*x^k=x^{m+k}[/tex]

We can use the same property to get:

[tex]5^{\frac{1}{2} +\frac{1}{3}}[/tex]

which is just [tex]5^\frac{5}{6}[/tex] after you add the fractions

Which is the graph of y – 3 =-2/3 (x + 6)?

Answers

Answer:

see graph below

Simple interest I in dollars is calculated using the formula I=prt. Here, p represents the
principal, or amount, in dollars that is invested or borrowed; r represents the annual
interest rate, expressed as a percent; and t represents time, in years. Find the value of
the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
1 = $1080, r = 4%, t = 3 years

Answers

Answer:

129.6

Step-by-step explanation:

how to find the area of triangle?​

Answers

Answer:

[tex](i). \\ { \tt{area = 2(\frac{1}{2} \times base \times height}} )\\ = 4 \times 3 \\ = 12 \: sq \: units \\ \\ (iii). \\ = \frac{1}{2} \times 8 \times 6 \\ = 24 \: sq \: units \\ \\ (ii). \\ = \frac{1}{2} \times 12 \times 5 \\ = 30 \: sq \: units[/tex]

In a street of 72 dwellings, 5/12 are bungalows. The rest are two-storey houses. Half of the bungalows are detached and 2/7 of the houses are detached. What fraction of the 72 dwellings are detached?

Answers

Answer:27/ 72 or 3/8

Step-by-step explanation:

Trust me

plz help me I will give u branist and follow u and also give u like plz help me​

Answers

Answer:

2166.53

Step-by-step explanation:

a = 10,000(1.04)⁵

a = 12,166.53

12,166.53 - 10,000 = 2166.53

what does it mean when someone tells you on a post “extra swag”

Answers

Answer:

Swag actually means stylish and confident

a bicycle was sold for $285 at a discount of 5% calculate the cost price of that bicycle​

Answers

270.75$ is the price of the bicycle

Answer:

Cost price = $300

Step-by-step explanation:

Let the cost price be = x

Discount % = 5%

Price after discount = $285

Find Cost price .

 [tex]Price \ after \ discount = x - (5 \% \ of \ x)\\\\285 = x - \frac{5}{100}x\\\\285 = \frac{100 - 5 }{100} x\\\\95x = 285 \times 100\\\\x = \frac{28500}{95} = \$ 300[/tex]

Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it will take him to run 52 \text{ km}52 km52, start text, space, k, m, end text at the same pace.
How long will it take Scott to run 52 \text{ km}52 km52, start text, space, k, m, end text?

Answers

Given:

Scott can run 20 km in 85 minutes.

To find:

How long will it take Scott to run 52 km?

Solution:

Let x be the number of minutes it will take him to run 52 km.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Using this formula, we get

[tex]Speed=\dfrac{20}{85}[/tex]           ...(i)

[tex]Speed=\dfrac{52}{x}[/tex]             ...(ii)

Equating (i) and (ii), we get

[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]

[tex]20\times x=52\times 85[/tex]

[tex]20x=4420[/tex]

Divide both sides by 20.

[tex]x=\dfrac{4420}{20}[/tex]

[tex]x=221[/tex]

Therefore, it will take 221 minutes to run 52 km.

Which 2 options are correct?

Answers

Answer:

A,C

Step-by-step explanation:

i took the test

A = (-123) + 77 + (-257) + 23 – 43

Answers

Answer:

[tex]A=-323[/tex]

Step-by-step explanation:

A = (-123)+77+(-257)+23-43

A = -46+(-257)+23-43

A = -303+23-43

A = -280-43

A = -323

Hope this helps

b / -7 = 4

solve question correctly

Answers

Answer:

b/-7=4

b=4*-7

b= - 28

Step-by-step explanation:

If this helps you mark as brainlist.!

Answer: -28

Variable/unknown - B

Numbers we know: -7 and 4.

How to solve: Use inverse division. The inverse of division is multiplication.

7 has a negative sign. However, 4 is positive.

N + P = N

P + N = N

Rules of integers:

If both the signs of the two numbers are the same, it will be positive.If both the signs of the two numbers are different, it will be negative.

-7 is negative.

4 is positive.

Formula: N + P = N

-7 x 4 = -28

Final answer: -28

2 + (-6)

HELP PLEASE !!

Answers

Step-by-step explanation:

-4

MARK AS BRAINLIEST...........

Answer:

2+(-6)

2-6

-4

Your Welcome

BIFFY OUT!!!

I was wondering if anyone could tutor me on another app I haven't been to school since the last last school year and im very behind​

Answers

Answer:

May I ask what subject you are behind in?

help meeeeeeeee plssss

Answers

Answer:

5.16 m

Step-by-step explanation:

[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]

Which of the following expressions is equivalent to the one shown below? (-11/14)^5

Answers

С Step-by-step explanation: (a / b) ^ 5 = a ^ 5 / (b ^ 5) Similarly , (- 11/14) ^ 5 = (- 11) ^ 5 / (14 ^ 5)

By what percent is 4.5 × 10^5 greater than 9 × 10^4

a) 200%
b) 400%
c) 500%
d) 600%

Answers

Answer:

C; 500%

Step-by-step explanation:

To get the percentage, we need to make a straight division, then multiply by 100%

We have this as;

(4.5 * 10^5)/(9 * 10^4) * 100%

= 5 * 100% = 500%

what is the distance from the origin to point A graphed on the complex plane below

Answers

Answer:

√13

Step-by-step explanation:

d² = (-3)² + (-2)²

d² = 9 + 4

d² = 13

d = √13

Find the sum of the first 9 terms of the following series, to the nearest integer.
24, 48, 96,...

Answers

Answer:12264

Step-by-step explanation: (24)+2(24)+4(24)+8(24)+16(24)+32(24)+64(24)+128(24)+256(24)

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