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)

Learn more here: https://brainly.com/question/15165519


Related Questions

2. What are the zeroes of P(x) = x3 – 6x2 – x +62
-6, -1, 1
A.
C. 6, -1, 1
B. -6, -1, -1
D. 6, 1, 1​

Answers

Step-by-step explanation:

if u mean (x^3 -6x^2 -x- 6) then the answer is C

(6,-1,1)

..................,..........

but if u mean P(x) = x3 – 6x2 – x +62

then the answer is None of the above

-2.724

4.361+1.9328i

4.361+1.9328i

(6x - 1) + (5x + 19)=128

Answers

Answer:

10

Step-by-step explanation:

add like terms

6x+5x=11x

19-1=18

11x+18=128

subtract 18 from both sides

11x=110

110/11=10

x=10

X = 10

(6x-1) + (5x+19) = 128
Collect like terms
11x + 18 = 128
Move the constant to the right
11x=128-18
11x=110
Divide both sides
X=10

A student walks 10 km in 150 mins. What's the students average speed in Km/in

Answers

Answer:

The answer is 15 km/in

Step-by-step explanation:

150 divided by 10 is 15.

Therefore the answer is 15 km/in.

(b-3)squared expanded

Answers

Answer:

Step-by-step explanation:

(x - y)² = x² - 2xy + y²

x = b  ; y = 3

(b - 3)² = b² - 2 *b * 3 + 3²

          = b² - 6b + 9

Last week Maria ran 19 miles less than Arjun. MAria ran 8.7 miles. How many miles did Arjun run?

Answers

Answer:

22.7 miles

Step-by-step explanation:

19+8.7=22.7

What is 3x-2=4 in 5.5 Practice A Algebra 1

Answers

Answer:

x=2

Step-by-step explanation:

Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?

Answers

The answer is $12
Hope this answer helps :)

What is the perimeter of a square if the length of one of the diagonals is 12 cm?
6v2 cm
2412 cm
48 cm
24 cm

Answers

Answer:

Step-by-step explanation:

Use Pythagorean theorem to find the length of the square.

Length of the square = a

a² +a² = diagonal²

2a² = 12²

2a² = 144

a² = 144 ÷ 2

a² = 72

[tex]a =\sqrt{72}\\\\ = \sqrt{2*2*2*3*3}\\\\ = 2*3\sqrt{2}\\\\a = 6\sqrt{2}\\\\\\\\Perimeter= 4a\\\\ = 4*6\sqrt{2}\\\\= 24\sqrt{2} cm[/tex]

The grade of a road is the ratio of its rise to its run and is usually given as a decimal or percent. Find the angle that this road makes with the horizontal ground if its grade is 14% (14/100 or 0.14)

Answers

Answer:

the angle would be 1/2 i did this problem before and got it correct

Step-by-step explanation:

14) Marketten (100 + x) mL vişne suyu ve (200 + 2x) mL şeftali suyu alan Burak,
toplam 375 mL meyve suyu almış oldu. Buna göre Burak, meyve sularından kaçar mL almıştır?​

Answers

Burak'ın aldığı vişne suyu miktarı = (100 + x) ml

Burak'ın aldığı şeftali suyu miktarı = (200 + 2x) ml

Burak'ın aldığı toplam meyve suyu miktarı = 375 ml

Bu ifadeler aşağıdaki gibi bir denklem olarak yazılabilir :

[tex] =\tt 100 + x + 200 + 2x = 375[/tex]

[tex] = \tt100 + 200 + x + 2x = 375[/tex]

[tex] =\tt 300 + 3x = 375[/tex]

[tex] = \tt3x = 375 - 300[/tex]

[tex] =\tt 3x = 75[/tex]

[tex] =\tt x = \frac{75}{3} [/tex]

[tex]\hookrightarrow\color{plum}\tt x = 25[/tex]

Böylece x = 25'in değeri

Burak'ın aldığı vişne suyu miktarı :

[tex] =\tt 100 + 25[/tex]

[tex]\color{plum} = \tt125 \: ml[/tex]

Böylece Burak'ın aldığı Berry suyu miktarı = 125 ml

Burak'ın aldığı şeftali suyu miktarı :

[tex] =\tt 200 + 2 \times 25[/tex]

[tex] =\tt 200 + 50[/tex]

[tex]\color{plum} = \tt250 \: ml[/tex]

Böylece Burak'ın aldığı şeftali suyu miktarı = 250 ml

○=> Bu nedenle :

▪︎Burak'ın aldığı meyve suyu miktarı = 125 ml

▪︎Burak'ın aldığı şeftali suyu miktarı = 250 ml

. To convert the ratio of 3:5 to 5:6, which number should be added on both?​

Answers

Answer:

7

Step-by-step explanation:

3:5 + 7 = 10:12

10:12 when shortened is 5:6

Help me with this q uesitpn please

Answers

3.14 x 1 = 3.14 square inches

Which of these figures has rotational symmetry?

Answers

Answer:

i dont know bro

Step-by-step explanation:

What are the figures?

a
II. Express the given fraction to decimal.
3
11.
=
12.
NLD
1
3
13.
=
14.
+ I co
4
10
3
1
15.
16.
100 ml
4
17.
=
18.
10
5
15
3
19.
20.
60
16​

Answers

Answer:

the question is invalid. please rewrite the question.

Identify the slope and the y-intercept
y = 4x-7

Answers

Step-by-step explanation:

y = 4x - 7

Comparing the given equation with y = mx + c Then

slope (m) = 4

y -intercept (c) = - 7

Hope it will help :)

Answer: the slope is negative 4

Step-by-step explanation:

because its ez

Which of the I-values are solutions to both of the following inequalities?
19 < c and r < 25
Choose all answers that apply:
А
= 18
B
= 20
c
= 27

Answers

Answer:
x = 27

Explanation:
For x = 18 19 < 18 and 18 < 25 one is false
***For x = 20 19 < 20 and 20 < 25 True
For x = 27 19 < 27 and 27 < 25 One is false
Good luck to you!

hiiii everyone my previous account has been deleted who knows me plz follow​​​

Answers

Answer:

I don't know you but I can follow you if you want

Figure 1 is dilated to get Figure 2.

What is the scale factor?

Enter your answer in simplest form in the box.

Two trapezoids with the same shape but different sizes. One trapezoid has a side measured at 8 units and is labeled figure 1. The other trapezoid has the corresponding side measured at 18 units and is labeled figure 2.

Answers

Answer: what is a scale factor

Step-by-step explanation:

Karl starts the engine on his small private airplane. The engine drives a propeller with a radius of 9 feet and its centerline 12.5 feet

above the ground. At idle, the propeller rotates at a constant speed of approximately 750 revolutions per minute. The height of one

propeller tip as a function of time is given by h = 12.5 + 9 sin(7501), where h is the height in feet and t is the time in minutes. Find h

when t= 3.5 minutes.

Answers

Answer: The height of one propeller tip is 3.68 feet when t= 3.5 minutes.

Step-by-step explanation:

Given: The height of one  propeller tip as a function of time is given by [tex]h = 12.5 + 9 sin(750t)[/tex]), where h is the height in feet and t is the time in minutes.

Put t = 3.5 , we get

[tex]h=12.5 +9 \sin (750\times3.5)\\\\=12.5+9\sin (2625)\\\\=12.5+9(-0.9802)\\\\=12.5-8.8218=3.6782\approx3.68[/tex]

Hence, The height of one propeller tip is 3.68 feet when t= 3.5 minutes.

Answer:

A. 21.1

Step-by-step explanation:

Below is a picture that states that 21.1 is indeed the correct answer.

A car weighs about 2?

Answers

Answer:

2 what?

Step-by-step explanation:

A car weighs around 2 tons.

The diameter of a spherical basketball is 10 inches. What is the volume of the basketball? Give the exact solution. ​

Answers

Step-by-step explanation:

Volume of sphere =4/3pir3

=4/3 X pie X rXrXr

R=diameter /2=10/2=5 inches

V=4/3 X 22/7 X 5 X 5 X 5

= 11000/21=523.8in3

What is the area of this parallelogram?


4.9 cm²

12.25 cm²

17.15 cm²

24.01 cm²
Parallelogram A B C D is composed of a square and two triangles. The square has a length and height of 3.5 centimeters each. There are two identical triangles. Each triangle has a base of 1.4 centimeters and a height of 3.5 centimeters.

Answers

Answer:

17.15

Step-by-step explanation:

Answer:

17.15cm

Step-by-step explanation:

I did the quiz and got it right (K12)

1/3 plus blank equals 5/6 ​

Answers

Answer: 3/6 + 2/6 = 5/6

Step-by-step explanation: 1/3 is equal to 2/6 then 3/6+ 2/6 equals 5/6

(This is a question from arithmetic sequence) Jay’s dog weighs 35 kilograms and is overweight. The dog is put on a diet, losing 0.4kg

every week. How long does it take to reach the target weight of 28 kilograms?

Answers

Answer:

17.6 weeks

Step-by-step explanation:

The computation of the time taken to reach the target weight is shown below:

35, 34.6, 34.2...............28

As we know that

a_n = a + (n - 1)d

28 = 35 + (n - 1)(-0.4)

28 = 35 -0.4n + 0.4

28 = 35.04 - 0.4n

0.4n = 35.04 - 28

0.4n = 7.04

n = 17.6

A
4 yards
B
C
15 yards
Find the area of ABC.
[?] yd!
Enter

Answers

Answer: it shuld be 3 as zee answer

Step-by-step explanation:

17 POINTS! I will also give Brainliest!
Find the perimeter of the coordinates below:
Figure PQRST is shown. P is at negative 2, 11. Q is at negative 4, 5. R is at 2, 0. S is at 1, 7. T is at 8, 7.



37 units


38 units


39 units


40 units

Answers

Answer:

c 39

Step-by-step explanation:

Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula: Each vertex in the polygon has its corresponding points:\

So to get the length of side PT, we use the distance formula and the vertices of side PT:

The length of PT is

The same procedure is done for the other 4 sides and the following are the answers:

And by adding all the sides, you get the perimeter:

By rounding off, the answer is 39 units.

have a nice day

Someone help me please what is 4.3 x 20

Answers

Answer:

86

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

Multiply the two numbers together as if there was no decimal, then move the decimal in the number of places that it is given in one of the factors.

In AIJK, the measure of K=90°, the measure of I=74°, and JK = 6 feet. Find the length of IJ to the nearest tenth of a foot.

plz help​

Answers

Answer:

6.2 feet

Step-by-step explanation:

what is 0.1+0.73 answer if u can thanks​

Answers

Answer:

0.83

Step-by-step explanation:

0.1 + 0.73 = 0.10 + 0.73 = 0.83

Answer:

0.83

Step-by-step explanation:

0.73+0.1=0.83

I hope this helps! Have a blessed day!

help me I need this now!!!!!!!!!

Answers

Answer:

45

Step-by-step explanation:

All angles of a triangle should add up to 180

35 + 80 + 45 = 180

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