Solve the simultaneous equations
5x + 3y = 41
2x + 3y = 20
Do not use trial and improvement

Answers

Answer 1
5x + 3y = 41
2x + 3y = 20
Solve 3y
-> 3y = 41 - 5x
Substitute
2x + 41 - 5x = 20
-3x = 20 - 41
= -21
x= 7
Substitute
2x + 3y = 14 + 3y = 20
3y = 6
y = 2
=> x=7, y=2
Answer 2

The solution to the system of equation is (7, 2)

Using the simultaneous equation:

5x + 3y = 41

2x + 3y = 20

using elimination method

Subtract equation 1 from 2 to have:

5x - 2x = 41 - 20

3x = 21

x = 21/3

x = 7

Substitute x = 7 into equation 1 to get y

5x + 3y = 41

5(7) + 3y = 41

35 + 3y = 41

5y = 41 - 35

3y = 6

y = 6/3

y = 2

Hence the solution to the system of equation is (7, 2)

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Related Questions

Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?

Answers

Answer:

Step-by-step explanation:

1.15×$42.50 = $48.875 ≅ $48.88

Answer:

$48.88

Step-by-step explanation:

42.50 increase 15% =

42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875

wasssssupppppppppppppp

Answers

Wassssssaaaaaaaaaaaaaaa

Answer:

Wasssupppp yallll

The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases

Answers

Answer:

D

Step-by-step explanation:

I'm going to ponder a guess that the numbers shown, 0, 62, 1, 78, 2 ,etc. are part of a table. Having said that, the answers, when graphed, create a sort of parabola, meaning that the function itself is non-linear. This exterminates option A and B. Now its just a matter of seeing which way it goes, and since 78 is higher than 62, and 85 is higher than 78, it obviously increases, rather than decreases. This makes D our final answer.

Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *

(0, 3)

(0, -3)

(4, -3)

(-4, 3)

Answers

It would be (0,3). You can see that the A is 2 units from the line. If you do it from the other side, then it would line up to (0,3)

which function has the steepest slope 2x-12 and y= 9- 3x

Answers

x+y =0

3x+y=16

x-y+4=8

help please due in 45 mins pleaseee helpppppp omg

Answers

Answer:

1. 0.6

2. 0.08333

.

.

.

.

i hope this helps

Answer:

I can't exactly show the work very well or in the way you want but I can answer the question...

Step-by-step explanation:

3/5 as a decimal is 0.6 and 1/12 as a decimal is 0.08333 (it goes on forever)

Hope this helps!

Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?

Answers

Answer:

18 More Minutes

Step-by-step explanation:

Hi,

I think I can help.

What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.

To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.

But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)

So we can do :

40 / 4

=

10%

Also

12 / 4

=

3

So with this we can conclude that 10% of his total time is 3 minutes.

Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.

So :

10% x 10

=

100%

3 x 10

=

30 minutes

So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.

We can now simply take the total time and take off the time spent already to find this answer :

30 - 12

=

18 minutes

That is your answer, he needs to study 18 more minutes.

I hope this helps!

If you have any questions or concerns please comment or message me! :)

PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)

Answers

look at the picture i attached for the answer :))

A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?

Answers

Answer:

1.5 Feet

Step-by-step explanation:

15 x .1 = 1.5

Write a system of linear inequalities represented by the graph.

Inequality 1:
Inequality 2:

Answers

Answer:

x ≥ -1

y < 3

Step-by-step explanation:

Answer:

Inequality 1: x ≽-1

Inequality 2: x ≼ 3

can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.

Also put two of these words in it Although or so unless.

40 points

Answers

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles

Answers

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ2

0.6h=13.02 show work​

Answers

Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7

help pls

. ________.

Answers

Answer:

#8)  x = 12

Step-by-step explanation:

vertical angles are congruent

5x + 10 = 70

5x = 60

x = 12

What is the amount of sales tax owned in a $39 jacket if the tax rate is 5%

Answers

Answer:

$1.95

Step-by-step explanation:

this killing me pls help ‍♀️

Answers

-6p - 3 = 9, Solve for p

Add 3 to both sides.

-6p = 12

Divide -6 by both sides.

p = -2

THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.

About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts

55 to 90 for math: 50 to 90 for language arts

55 to 60 for math: 50 to 60 for language arts

85 to 90 for math 80 to 90 for language arts

Answers

maybe the answer is A- 60 to 85 for math: 60 to 80 for language arts

Answer:

B

Step-by-step explanation:

PLEASE HELP, I’ll give brainliest to anyone who answers first!!!!

Answers

Answer:

opotion 2!

Step-by-step explanation:

An Xbox has a retail price of $350. Best Buy is offering a 15% discount on the system. How much will the Xbox cost after the discount?

Answers

Answer:

About  297.50$

becuase since i actually have an xbox with that same discount i know the answer

Answer:

you will pay 297.50$

you are saving 52.50$

At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.

Answers

Answer:

10

Step-by-step explanation:

100% = 40 teams

1% = 40 ÷ 100 = 0.40

25% = 0.40 x 25 = 10

Answer:

10

Step-by-step explanation:

100%/4=25%

40/4=10

You have to divide 100% by 4 because 25 goes into 100 four times.

What ever you do on the bottom or top you to do it top or bottom.

So 40 divide by 4 is 10.

Then you have you answer.


What's the greatest ten you can multiply by 8 to get close to, but not go over 629

Answers

Answer:

i guss 8× 77 = 524 which is close to it

Answer: 8 x 70 = 560

Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount

of money in dollars, B. Braxton has in his account after t years since opening the account.

Pam also has money in a savings account. The equation P=800(1 +0.04) can be used to calculate the

amount of money in dollars, P, Pam has in her account after t years since opening the account.

Choose from the drop down menus to correctly complete each sentence.

Braxton's initial investment Choose...

• Pam's initial investment.

The interest on Braxton's account Choose...

• the interest on Pam's account.

Answers

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

            B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money    

           in dollars, B, Braxton has in his account after t years since opening

           the account.

           Pam also has money in a savings account. The equation

           P=[tex]800(1 + 0.04)^{t}[/tex]  can be used to calculate the  amount of money in

           dollars, P, Pam has in her account after t years since opening the

           account.

To find - Braxton's initial investment ..........Pam's initial investment.

             The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - [tex]800(1 + 0.03)^{t}[/tex]

               Pam equation is - [tex]800(1 + 0.04)^{t}[/tex]  

Now,

1.)

For initial investment , Put t = 0

⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]

  P =  [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]

As for t = 0

Braxton's equation , B = Pam's equation,P

Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42[/tex]

P =  [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32[/tex]

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

Applying Properties of Parallelograms, Rhombi, Rectangles, and Squares
Given the following parallelogram: Solve for x,
19x + 8
17% - 50

Answers

9514 1404 393

Answer:

  x = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.

  17x + 50 = 19x + 8

  42 = 2x . . . . . . . . . . subtract 8+17x

  21 = x . . . . . . . . . . .  divide by 2

What is the perimeter of JKL?

Answers

Answer:

The perimeter of JKL is 60 units.

Step-by-step explanation:

The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.

ANYONE PLZ PLZ PLZ ANSWER THIS QUESTION

Answers

Answer:

120

Step-by-step explanation:

you add em all up then you find the answer choice

Find the exact value of inverse cos (square root of 3/ 2.

Answers

Answer:

that I have attached my application for you to have a couple months but I'm thinking it's all threads a small for more about an automatically ke you don't you to join our next few different to see a look great and you want them so it in for her the

Answer:

30° is the exact value of cos invers

PLEASE MARK ME AS BRAINLIEST


20 POINTS
Translations
7
Acellus
Find the image of the given point
under the given translation.
Help Resources
P(3,-5) T(x, y) = (x +4, y-3)
P' = ([?], []).
Enter the number that belongs in
the green box.
Enter

Answers

Answer:

The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;

7

Step-by-step explanation:

The coordinate of the given point 'P' is P = (3, -5)

The preimage of (x, y) after the translation, [tex]T_{(x, \ y)}[/tex] = (x-coordinate + 4, y-coordinate - 3)

Therefore, the translation, [tex]T_{(x, \ y)}[/tex] = T₍₄, ₋₃₎

Therefore, we have;

Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows

P(3, -5) [tex]\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}[/tex]P'(3 + 4, -5 - 3) = P'(7, -8)

Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.

What is the annual rate of inflation (percent of inflation) of a gallon of milk costing $2.25 last year and $2.70 this year

Answers

Answer:

20%

Step-by-step explanation:

A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12

Answers

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue

Answers

2/3
You do 8/12 since it’s blue to mosaic tiles and both number divide by 4 so 8 divided by 4 is 2 and 12 divided by 4 is 3 so 2/3
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