5x-3y=1,3x+2y=1 solve the simultaneous equation above

Answers

Answer 1

Answer:

The solution to the equation is as follows;

[tex]x = \frac{5}{19} ,\ and \ y= \frac{2}{19}[/tex]

Step-by-step explanation:

Given;

5x - 3y = 1

3x + 2y = 1

Solving both equation simultaneously;

2:   10x  - 6y = 2

3:   9x   + 6y = 3

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

        19x   + 0 = 5

            x = 5/19

substitute the value of x in any of the equations above and solve for y;

5x - 3y = 1

5 (5/19) - 3y = 1

25/19 -3y = 1

[tex]3y = \frac{25}{19} -1\\\\3y = \frac{25-19}{19} \\\\3y = \frac{6}{19} \\\\y = \frac{2}{19}[/tex]


Related Questions

If x and y are positive integers is x - y always positive explain

Answers

Note that x and y are nonzero integers. It means that x and y will always have same sign (both are either positive or negative, since they are nonzero). Hence, xy term is always positive.

Answer:

No, if y happens to be a larger integer than x, then the result will be negative.  

Step-by-step explanation:

For example, lets say that x=4 and y=9, so x-y = 4-9 = -5.  

But if we were to reverse it and make x=9 and y=4, then x-y = 9-4 = 5.

Answer question in the picture for brainliest and 10 points.

Answers

Answer:

D

Step-by-step explanation:

I know because I am smart. Trust me, it is D.

Its D

Step-by-step explanation:

pwease ik

Un camión admite en su interior 68,25 toneladas de patatas. Se cada caja de patatas pesa 22,75 Kg, ¿cuántas cajas de
patatas lleva el camión?

Answers

Answer:

El camión lleva 3000 cajas de patatas

Step-by-step explanation:

Proporciones

La capacidad de carga de un camión es de 68.25 Toneladas de patatas.

Como 1 tonelada es equivalente a 1000 Kg, expresamos la capacidad en Kg:

68.25 * 1000 = 68250 Kg

Cada caja de patatas pesa 22.75 Kg, luego el número de cajas que caben en el camión son:

68250/22.75 = 3000 cajas

El camión lleva 3000 cajas de patatas

ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale.
Given:
ZD=44
ZA=87
FC=75
Find: ZC and AC

Answers

Answer:

wait I am solving. oklllllk

Answer:

ZA=85 ZB=85

Step-by-step explanation:

What is the rate of change (slope) of the function?
X
y
-2
+1
-1
+2
+3
1
+4
2
+5
02

Answers

Answer:1

Step-by-step explanation:

what is the area of a shaded region in the quarter circle
radius 12​

Answers

Answer:

I guess that the shaded area is a quarter of a circle of radius 12 units.

Is easy to know that the area, will be equal to the quotient between the area of a circle of radius 12, and 4

We know that the area of a circle of radius R is:

A = pi*R^2

in this case, R = 12

pi = 3.14

Then:

A = 3.14*12^2 = 452.16

And a fourth of that is:

A/4 = (452.16)/4 = 113.04

The area of the shaded region is 113.04 square units

-x+3=4 plz solve and Explain

Answers

Answer:

x=-1

Step-by-step explanation:

-x+3=4

-3     -3

-x=1

multiply by negative one to get rid of negative in front of x

x=-1

Answer:

here we have to bring the +4 into first part then -x in second part then it will be 3-4=x

then solve now -1=x

I WILL GIVE BRAINLIEST. HURRY PLEASE

Answers

Answer:

Concept: Linear Algebra

Let us pick -5 and -4 which are one unit apart.We will find the difference by finding the slope: -3-(-11)/-4-(-5)= 8 Next for 2 units apart we will choose 1 and 3We do the same thing: 53-37/3-1= 16/2=8 Next we will pick something 2 units apart. Let's pick 0 and 3 Hence we will do the same: 53-29/3-0= 24/3=8No matter what difference we pick, whether that be one, two or three units, the difference is the same and consistent.Rate brainlist and drop a follow

Identify the initial amount and the growth rate of the following:
Y = 250 (1+0.2)

Answers

Answer:

y = 300

Step-by-step explanation:

y = 250 (1+0.2)

First add the 1 and 0.2

y=250(1.2)

multiply 250 with 1.2

y = 300

:)

Gracie is sharing 75 marshminnows among 4 of her friends. If each of her friends gets the same number of marshminnows, and she gives them as many marshminnows as
possible, how many are left for Gracie?
none
3
18
19

Answers

Answer:

18

Step-by-step explanation:

If you want to give people something, you need to divide the number that she is sharing (75) and the number of how many people she is sharing with (4).

So 75/4 = 18

So 18 marshminnows are left for Gracie.

________ Is the largest industry In the world.
O Technology
O Travel and tourism
O Manufacturing
O Education

Answers

I believe it’s travel and tourism. Hope this helps!

Answer:

Manufacturing is the largest industry In the world.

Shelby purchases personalized stockings from Etsy for $15 per stocking. She has to pay $4.50 shipping. How many stockings can Shelby purchase for $50???

Answers

Answer:

3

Step-by-step explanation:

The answer is 3. You subtract 4.50 from 50, which is 45.50 and then you divide that by 15 which is 3.03. You can then round that number to 3.

Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 4 laps on a running trail and then runs 8 more miles. On Tuesday and Sunday, she runs 6 laps on the trail and then runs 4 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?


Lilliana runs ??? laps on Saturday.

Answers

Answer: 17 3/4

Step-by-step explanation: because yes

Answer:

Actualy 17 3/4 is incorrect ( she actualy ran 8 laps on saturday)

Step-by-step explanation:

I dont feel like typeing out my math but i am correct because I had this same question on my homework.

A cyclist travels 8 miles in 15 minutes.
What is her average speed in mph?

Answers

Answer:

0.53 mph

Step-by-step explanation:

A cyclist travels 8 miles in 15 minutes.

So the average speed is

=8/15 mph

=0.53 mph

Her average speed in mph is 0.53miles per hour.

If another equation is graphed so that the system has no solution, which equation could that be?
y=-2(x-1/2)
y=-1/2(4x+2)
y=-x+1
y=-1/2x+2

Answers

Answer:

y=-2(×-1/2)

Step-by-step explanation:

...........

Which statement describes the graph of function g?

f(x) = 2x
g(x) = 2x + 3

The graph of g is 3 units to the left of the graph of f.

The graph of g is 3 units below the graph of f.

The graph of g is 3 units above the graph of f.

The graph of g is 3 units to the right of the graph of f.

Answers

9514 1404 393

Answer:

  The graph of g is 3 units above the graph of f.

Step-by-step explanation:

Adding 3 to each y-value shifts the graph up 3 units.

__

In the case of the straight line given here, it also has the appearance of shifting the graph left. The left-shift, however, is not 3 units. The amount of apparent horizontal shift will depend on the slope of the original line.

Answer:

The answer is above

Step-by-step explanation:

its above because the sign is positive

At the moment there are 54,210 tagged birds in a certain wildlife refuge. If exactly 20 percent of all birds in the refuge are tagged, what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged?

Answers

Answer:

37.5%

Step-by-step explanation:

OOF DIS COMPLICATED

I messed up big timeeeeeeeee

A lot of percent problem are very simple by just assuming values, especially in case the answer is also a percentage.

If there are 100 birds, 20% are tagged so 20 are tagged.

Out of the rest 80, 30 should be tagged so that a total of 50% are tagged.

30/80 = 37.5%

(The huge number given is unnecessary, just to make you waste your valuable time. Read the question again to realize that it is not needed.)

The percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

Untagged birds percentage:

First step

Currently Tagged birds= 54210 ×20/100

Currently Tagged birds=10842

Second  step

Untagged birds=54210 - 10842

Untagged birds=43368

Third step

Untagged birds percentage:

Untagged birds percentage=( 54210/2)-10842/43368

Untagged birds percentage=(27105-10842)/43368

Untagged birds percentage=16263/43368

Untagged birds percentage=0.375×100

Untagged birds percentage=37.5%

Inconclusion the percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

Learn more about percentage here:https://brainly.com/question/24304697

At a​ little-known vacation​ spot, taxi fares are a bargain. A 56​-mile taxi ride takes 63 minutes and costs ​$50.40 You want to find the cost of a 34​- taxi ride. What unit price do you​ need?

Answers

Answer:

the unit price that required is $30.60

Step-by-step explanation:

The computation of the unit price that required is shown below

For one mile, the cost is

= taxi ride cost ÷ distance covered

= $50.40 ÷ 56

= $0.90

Now for the cost of 34 mile taxi ride

= Unit cost × distance covered

= $0.90 × 34 mile

= $30.60

hence, the unit price that required is $30.60

We simply applied the above formula so that the correct cost could come

The same is to be considered

write a function G whose graph represents the indicated transformation of the graph f
[tex]f(x) = \frac{2}{3} {x}^{2} + 2[/tex]
vertical stretch by a factor of 3

Answers

Answer:

[tex]G(x) = 2x^2+6[/tex].

Step-by-step explanation:

The given function is

[tex]f(x) = \frac 2 3 x^2 +2[/tex]

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So, [tex]G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6[/tex]

Hence, the required function is [tex]G(x) = 2x^2+6[/tex].

the roots of a quadratic function are -2 and -6
what are the two factors of the quadratic expression ?
x + 2 ; x - 2 ; x - 8 ; x + 8 ; x - 6 ; x + 6

Answers

Step-by-step explanation:

The factors are x + 2 and x + 6.

What is the value of u? 6.4u−5.1u=−3.25

Answers

Answer:

-2.5

Step-by-step explanation:

6.4u-5.1u=-3.25

1.3u=-3.25

u=-3.25/1.3

u=-2.5

The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now.

Answers

Answer:

5358

Step-by-step explanation:

The equation modeling the population growth of a small town is given as:

P(t)=30000(1.02)^t

When t = 2

P(2) = 30000(1.02)^2

P(2) = 31212

When t = 10

P(10) = 30000(1.02)^10

P(10) = 36569.8326

The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:

= P(10) - P(2)

= 36569.83259984272 − 31212

= 5357.8325998

Approximately ≈ 5358

Im confusion? Could someone help me out.

Answers

Answer:

20cm

Step-by-step explanation:

for the triangle:

Perimeter = 30cm

a + a + a = 30

3a = 30

hence a = 10cm

For the rectangle:

Perimeter = 30cm

a + a + b + b = 30

but a = 10cm

10 + 10 + b + b = 30

20 + 2b = 30

2b = 10

hence b = 5cm

Perimeter of square = b + b + b + b

= 5 + 5 + 5 + 5 = 20cm

What is the value of b? 10 ( 1 + 3b ) = -20

Answers

Answer:

b=-1

Step-by-step explanation:

10(1+3b)=-20

1+3b=-2

3b=-3

b=-1

5x - 3(x - 2) - x math and stuff

Answers

Answer:

x + 6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

5x-3x-x+6

x+6

The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

70 km

Step-by-step explanation:

[tex]\frac{3.5 cm}{x km}[/tex] = [tex]\frac{1cm}{20km}[/tex]

x = (3.5 cm × 20 km) ÷ 1 cm = 70 km

Answer:

70 km

Step-by-step explanation:

Jose worked 8 days for a total of 58.4 hours. If he worked the same number of hours each day, how many hours did he work in a day?

Answers

Answer:

7.3 or 7 hours.

Step-by-step explanation:

So i divided 58.4 by 8. And got 7.3.

8 x (7) = 56. So, 58 - 56 = 2. Put the decimal up. Now, 8 x (3) = 24. So, now you should have 7.3. But you could round it to 7. Depends.

For question b, how is the answer is ㏒ₐ2 + 4(n-1)㏒ₐ3?
Please help me.

Answers

Answer:

[tex]T_n=(4-n)\text{log}_a(3)+\text{log}_a(2)[/tex]

Step-by-step explanation:

nth term of an A.P. is given by the explicit formula,

[tex]T_n=a+(n-1)d[/tex]

Here, 'a' = First term

n = number of term

d = common difference

For an A.P. given as,

[tex]\text{log}_a(54),\text{log}_a(18),\text{log}_a(6),....[/tex]

First term 'a' of the given A.P. = [tex]\text{log}_a(54),[/tex]

Common difference 'd' = [tex]T_2-T_1[/tex]

                                       = [tex]\text{log}_a(18)-\text{log}_a(54)[/tex]

                                       = [tex]\text{log}_a(\frac{18}{54})[/tex]

                                       = [tex]\text{log}_a(\frac{1}{3})[/tex]

                                       = [tex]-\text{log}_a(3)[/tex]

[tex]T_n=\text{log}_a(54)+(n-1)[-\text{log}_a(3)][/tex]

    [tex]=\text{log}_a(54)-(n-1)\text{log}_a(3)[/tex]

    [tex]=\text{log}_a(3^3\times 2)-(n-1)\text{log}_a(3)[/tex]

    [tex]=\text{log}_a(3^3)+\text{log}_a(2)-(n-1)\text{log}_a(3)[/tex]

    [tex]=3\text{log}_a(3)+\text{log}_a(2)-(n-1)\text{log}_a(3)[/tex]

    [tex]=3\text{log}_a(3)+\text{log}_a(2)-n\text{log}_a(3)+\text{log}_a(3)[/tex]

    [tex]=4\text{log}_a(3)+\text{log}_a(2)-n\text{log}_a(3)[/tex]

    [tex]=(4-n)\text{log}_a(3)+\text{log}_a(2)[/tex]

In some languages, every consonant must be followed by a vowel. How many seven-letter ‟words” can be made from the Hawaiian word MAKAALA if each consonant must be followed by a vowel?

Answers

Answer:

One. Kamala.

Step-by-step explanation:

PLssssss HELPPPPPPP will GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!


Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds

of sand around his flower bed. How much sand did he have left in the

bucket?

Answers

Answer:

For addition 7 1/4. For subtraction 1 3/4. For multiplication 12 2/8. For division 1 7/11.  

Step-by-step explanation:

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