solve the following simultaneous equations 5x+7y = 17 ; 7x+5y = 19

Answers

Answer 1

Answer:

[tex]x=2.\ y=1[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ the\ following\ pair\ of\ equations:\\5x+7y=17\\7x+5y=19\\Now,\\As\ the\ co-efficients\ of\ none\ of\ the\ algebraic\ terms\ match,\\We\ can\ take\ the\ LCM\ of\ their\ co-efficients;\\As\ the\ co-efficients\ of\ the\ x-terms\ are\ 5,7\ respectively;\\Their\ LCM\ is\ 35.[/tex]

[tex]Hence,\\7(5x+7y)=7(17)\\-5(7x+5y)=-5(19)\\Hence,\\35x+49y=119\\-35x-25y=-95\\Hence,\\Adding\ the\ two\ equations\ we\ have:\\(35x+49y)+(-35x-25y)=(119)+(-95)\\(35x-35x)+(49y-25y)=119-95\\24y=24\\y=\frac{24}{24}=1[/tex]

[tex]Now,\\Lets\ consider\ the\ First\ Equation:\\5x+7y=17\\Substituting\ y=1,\\5x+7*1=17\\5x+7=17\\5x=17-7\\5x=10\\x=\frac{10}{5}=2\\\\Together,\\x=2.\ y=1[/tex]


Related Questions

2+5t+3a-2t-4m+7-8m-2 pls help ​

Answers

Answer: 9+3t+3a-4m
Explanation

so uh i need help :')
can u ppl give me an example of statistics for math pls at least one itll be fine

Answers

Answer:

A statistic is a number that represents a property of the sample. For example, if we consider one math class to be a sample of the population of all math classes, then the average number of points earned by students in that one math class at the end of the term is an example of a statistic

Step-by-step explanation:

Y= -4+9
A.(3,-3)
B.(2,3)
C.(0,9)
D.(2,1)
E.(4,5)

Answers

Answer:

E

Step-by-step explanation:

-4+9=5 and the only one where y is equal to 5 is E

a 4 +4a 2 b 2 −2b 4 a, start superscript, 4, end superscript, plus, 4, a, squared, b, squared, minus, 2, b, start superscript, 4, end superscript from -3a^4+5a^2b^2+2b^4−3a 4 +5a 2 b 2 +2b 4 minus, 3, a, start superscript, 4, end superscript, plus, 5, a, squared, b, squared, plus, 2, b, start superscript, 4, end superscript.

Answers

Answer:

- 4a⁴ + a²b² + 3b⁴

Step-by-step explanation:

If I understand this correct the question is:

Subtract    a⁴ + 4a²b² − 2b⁴From       - 3a⁴ + 5a²b² + 2b⁴

Solving by collecting like terms:

-3a⁴ + 5a²b² + 2b⁴  - (a⁴ + 4a²b² − 2b⁴) =-3a⁴ + 5a²b² + 2b⁴  -  a⁴ - 4a²b² + 2b⁴ = - 4a⁴ + a²b² + 3b⁴

Answer:

-4a⁴+a²b²-4b⁴ this is your answer. your question is in mess .I don't understand properly.

a⁴+4a²b²-2b⁴......(1)

-3a⁴+5a²b²+2b⁴.........(2)

subtracting equation 1_from 2

Step-by-step explanation:

-3a⁴+5a²b²+2b⁴

a⁴+4a²b²-2b⁴

-

____________

-4a⁴+a²b²-4b⁴

Graph the line with the equation y= - 1/3 x -4?

Answers

Use desmo.com

its really helpful

CAN SOMEBODY PLS HELP MEEEEEEEEEEE AND RUDE ANSWERS WILL BE RE PORTEDDDDDD

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

1.(2,-1)

2.[tex]y=(x+1)^{2} +2[/tex]

3.[tex]y=(x-3)^{2} +1[/tex]

Step-by-step explanation:

Divide x^2+7x+12 by x+3 using long division

Answers

x^2+7x+12/x+3
x^2+7x+12/x+3
x^3+7x^2+12+3x/x
x^3+7x^2+3x+12/x

can someone help me witth these two questions

Answers

Answer:

ok

1st one x=245°

2nd one x= 250

Step-by-step explanation:

hope its correct

hope u find it helpful

Answer:

x = 245 and x = 20

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the interior angles and equate to 540

25 + 112 + 100 + 58 + x = 540

295 + x = 540 ( subtract 295 from both sides )

x = 245

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

5x + 2 + 3x + 5 + 8x + 8 + 4x + 15 + 5x + 10 = 540

25x + 40 = 540 ( subtract 40 from both sides )

25x = 500 ( divide both sides by 25 )

x = 20

Evaluate the expression 5+(-3x)for the given x-values. A. X=3. B. X=1/3. C.X=-3

Answers

Answer:

a. [tex]5 + (-3x) = -4[/tex]

b. [tex]5 + (-3x) = 4[/tex]

c. [tex]5 + (-3x) = 14[/tex]

Step-by-step explanation:

Given

[tex]5 + (-3x)[/tex]

Required

Evaluate

(a) x = 3

[tex]5 + (-3x) = 5 + (-3*3)[/tex]

[tex]5 + (-3x) = 5 + (-9)[/tex]

Remove bracket

[tex]5 + (-3x) = 5 -9[/tex]

[tex]5 + (-3x) = -4[/tex]

(b) x = 1/3

[tex]5 + (-3x) = 5 + (-3*1/3)[/tex]

[tex]5 + (-3x) = 5 + (-1)[/tex]

Remove bracket

[tex]5 + (-3x) = 5 -1[/tex]

[tex]5 + (-3x) = 4[/tex]

(c) x = -3

[tex]5 + (-3x) = 5 + (-3*-3)[/tex]

[tex]5 + (-3x) = 5 + (9)[/tex]

[tex]5 + (-3x) = 14[/tex]

i/3 of 12 = 2/3 of ......
plz help

Answers

Answer:

өтті қысым өзің орында окей

Answer:

ndetlsktsktakfakgskfng

djfkfkckcj

Complete the equation for the horizontal line that passes through (11,4)

Answers

The equation is:. Y = 4 .

HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

65 square units

Step-by-step explanation:

The area of a triangle is: height times base divided by two.

So the area of one of the triangles is 10 square units.

multiply this times 4 to get the total area of the triangles

then add the area of the square which is 5 times 5

25 plus 40 = 65 square units

PLZ MARK BRAINLIEST

65 square units

hope this helped

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Assuming construction of the dotted lines, complete the following proof.

Given: lines from P tangent to circle R at points A and B



Prove: PA = PB

Answers

Step-by-step explanation:

Statements

1.RA equal RB

2.RP equal RP

3.RA is perpendicular to AP, RB is perpendicular to PB

4.right triangle RAP is congruent to Right triangle RBP

5.PA equal PB

Reasons

1.radii of same circle are equal

2.Reflexitive

3.Radius is perpendicular to tangent

4.HL

5 CPCTC

Answer:

RA = RB ----- radii of the same circles are =

RP = RP ----- reflexive

RA ⊥ AP, RB ⊥ PB ----- Radius congruent to tangent

rtΔ RAP ≅ rtΔ RBP ----- HL

PA = PB ----- CPCTE

£399 is shared between ann,bill, chloe and dave. The ratio of the amount ann gets to bill gets is 2:9 chloe and dave get 2.5 times the amount ann gets.
Work out how much money bill gets

Answers

Answer:Bill gets £171

Step-by-step explanation:

Total Money shared = £399

The ratio of the amount Ann gets to bill gets is 2:9 Chloe and Dave get 2.5 times the amount Ann gets can be written as  

Ann : Bill   :     Chloe :   Dave

      2 : 9    : 2.5 x Ann :   2.5 x Ann

Let the amount of money

Ann gets be x

so that Bill gets 4.5x

Chloe = 2.5x

Dave = 2.5x  

So that the expression to calculate each amount gooten will be  

x + 4.5x + 2.5x + 2.5x = 399

10.5x = 399

x = 399/10.5

x=38

Therefore, Ann gets  = £38

Bill gets =4.5 x=   4.5 x £38 = £171

Chloe gets=2.5x =2.5 x £38  = £95

Dave gets=2.5x =2.5 x £38  = £95

PLS NEED HELP!!!!!!!!!!!

Answers

Answer: Uhh

Step-by-step explanation:

Answer: a=16+c

Step-by-step explanation:

if b= c+4 then we can substitute c+4 into the equation a=b+12 so a= (c+4)+12 simplified a= c+16

The least multiple of 5 which is divisible by both 3 and 4 is -​

Answers

Answer:

60

Step-by-step explanation:

The least multiple of 5 which is divisible by both 3 and 4 is 60

Pretty sure that the answer is 60

If a1 = 4 and an =
- 4 an–1 then find the value of a6.

Answers

Answer: -4096

Step-by-step explanation:

The 6th term of the geometric sequence is; -4096.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given as:

[tex]a_n = a_1q^{n-1}[/tex]

In which a1 is the first term.

For this problem, we have :

The first term is  a1 = 4 and an =- 4 an–1  .

Therefore, the common ratio is q = -4.

Now the 6th term of the sequence is found as :

[tex]a_6 = 4(-4)^{5[/tex]

a_6 = - 4096

More can be learned about geometric sequences at brainly.com/question/11847927

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-3/5x=42 help pleeeeeeeeeeeeeaaaaaaaaaaaaaaaaaaasssssssssssssssseeeeeeeeeeeee

Answers

Answer:

x=-70

Step-by-step explanation:

Answer:

X = -70

Step-by-step explanation:

Multiply both sides of the equation by

screen shot has my step by step

Hope it was helpful

I need help on this question.

Answers

Answer:

(x, y) = (-6, 2)

Did this a while ago

PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST ITS IREADY!!!!!!!!!!! PLSSSSS HELPPPPPPPPPPPPPP

Answers

Answer:

The ratio 8 to 2 is equivalent to the ratio: 16 to 4.

Answer:

1 to 6

Step-by-step explanation:

An archeologist finds an artifact that contains 44% of the carbon-14 that it would have had originally. What is the estimated age of the artifact? (The half-life of carbon-14 is 5,730 years.)

Answers

Answer:

the answer is that the carbon-14 is approximately 2600 years old

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 6y = -42

Answers

Answer and solution below:

Consider the sequence shown.

436, 218, 109, 54.5, 27.25,...



Select the correct explicit formula for the sequence.

a
g_n=436·0.5^{(n-1)}

b
g_n=0.5·436^{(n-1)}

c
g_n=436·2^{(n-1)}

d
g_n=2·436^{(n-1)}

Answers

Answer:

[tex](a) \to \: g_n=436·0.5^{(n-1)}[/tex]

i think the answer is

A.gn =436 . 0.5 (n-1)

what is the answer for x/12 = -2

Answers

Answer:

x/12 = -2

x = -2x12

x = -24

X = -24

Answer:

x= -24

Step-by-step explanation:

x/12=-2

12         x                               I did 12 times x/12 to get the x alone.

___  x ___ =   x                      

  1        12

Do 12 times -2 too,

so..    12 x-2=-24

x= -24

Need help due today please

Answers

A) f(-1) = 8(-1) - 8 = -8 - 8 = 16

B) f(x) = 16

8x-8 = 16

8x = 16 + 8

8x = 24

x = 3

PLEASE HELP!!! find the area of the yellow region. round to the nearest tenth

Answers

Answer:

3.9

Step-by-step explanation:

A sports shop got a skateboard that cost them $80. In order to make a
profit, they decide to add a 37.5% markup. What is the retail price of the
skateboard?

Answers

○=> Correct answer :

The retail price of the skateboard = [tex] \color{hotpink}\boxed{\bold{\tt\bold{\$110}}}[/tex]

○=> Steps to derive correct answer :

Given :

▪︎Cost price of a skateboard in a sports shop = $80

▪︎Percentage of markup in the price of the skateboard = 37.5%

Which means :

The retail price of the skateboard :

= Intial price of skateboard + 37.5% of it's initial price

[tex] = \tt80 + 37.5\% \: of \: 80[/tex]

[tex] =\tt 80 + \frac{37.5}{100} \times 80[/tex]

[tex] =\tt 80 + \frac{37.5 \times 80}{100} [/tex]

[tex] = \tt80 + \frac{3000}{100} [/tex]

[tex] =\tt 80 + 30[/tex]

[tex]\color{plum} = \tt\bold{\$110}[/tex]

Therefore, the retail price of the skateboard = $110

PLEASE ANSWER ASAP !! HAS TO BE DUE AT 11:59 WILL GIVE BRAINLIEST

Answers

Answer:

(2,-2)

Step-by-step explanation:

Used a midpoint calculator

Answer:

2,-2

Step-by-step explanation:

midpoint formula:

(x1+x2/2 , y1+y2/2)

Which set of ordered pairs represents a function?
{(-4,9), (-4, 7), (1, -5), (7, —8)} {(-5, -5), (–9,1), (8, -6), (-9, -4)}
{(-6, -6), (-2, -2), (7,-6), (-5,0)}
{(-7, -9), (-7, -7), (3, –7), (5, -5)}

Answers

Answer:

{(-6,-6), (-2,-2), (7,-6), (-5,0)}

Step-by-step explanation:

Function: Every domain (x-value) has only one range (y-value)

The other choices had an x-value that had more than one y-value, which makes only this one a function.

Hope this helped :)

round 21.24833 to three decimal places

Answers

Answer:

21.248

Step-by-step explanation:

The required value of decimal value 21.24833 to three decimal points is 21.248.

Given that,
21.24833, to round this number to 3 decimal places.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.


What is a recurring decimal?

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

In the question, a decimal value is given, 21.2488, and asked to round this off to 3 decimal places.


When rounding off the number, we check the preceding value neared to which zero either to 0 or 10. if it is near 0 the value before is round off value and the preceding value is near 10 then the value before the proceeding value is increased by 1.


In our case, the value after the third decimal is 3 which is near 0 so nothing will change and the value terminates as it is after 3 decimal points i.e 21.248.

Thus, the required value of decimal value 21.24833 to three decimal points is 21.248.

For more information about recurring decimal check it out here:

brainly.com/question/820308

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