Solve the simultaneous equations
8x + 3y = 45
2x + 3y = 27

Answers

Answer 1

8x + 3y = 45 * -2
2x + 3y = 27 * 8

-16x - 6y = 90
16x + 24y = 216

24y = 216
y = 216/24
y = 9


8x + 3y = 45
8x + 3(9) = 45

8x + 27 = 45
8x = 45 - 27
8x = 18
x = 18/8
x = 2.25


Answer 2

x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

What are linear equations?

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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Related Questions

Help will make branliest

Answers

Answer:

I like that you watch wwe for one. but lets get started

the answer itself is m< 4=87

Step-by-step explanation:

Answer:

The answer is 87°

Step-by-step explanation:

A quadrilateral has an interior angle sum of 360°.

Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:

89° + 80° + 104° + x° = 360°.

All you have to do is add all the measures up and subtract from 360°.

89° + 80° + 104° + x° = 360° →

273° + x° = 360° →

x° = 87°.

Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.

A quadrilateral is a polygon with four sides so it's interior angle sum must be

(4 – 2) × 180° = 2 × 180° = 360°.

Please help me. You will be marked brainliest.

Answers

Answer:

What do you need help with?

Step-by-step explanation:

How long will it take to fill the tank with 40 gallons of water?

Answers

Answer:

15-25

Step-by-step explanation:

10-15 minutes hope this helps also can someone help me what is the summary of chapter 27 book two roads

CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B

Answers

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!! Write an equation in standard form of the line that passes through the given points. (-2,-1),(-4,-6).

Answers

Answer:

If its in parobola form here is your answer

Step-by-step explanation:

y=5(x+1/5)^2-26/5

Can someone please teach me long division, and please provide examples.
i haven't done long division in so long and i need to sharpen up.
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oh yea 50 points each.

Answers

Answer:

Step-by-step explanation:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

okay so look at the image down below

The employees van assemble 1,576 cell phones in 8 hours.
If these employees continue to work at the same rate,how many cell phones will they assemble in 53hours?
A - 12,608
B - 10,441
C - 83,528
D - 70,920

Answers

Answer:

10,441

Step-by-step explanation:

1576/8=197

197x8=10,441

I need help!!! I’ll mark you brainliest
This is timed!!

Answers

Answer:

c = 28

Step-by-step explanation:

2 * 6 -5 = 7

4 * 7 =28

hope it help

plz fo"ow me

Water
SA = 2tr2 + 2nrh
(Use 3.14 for 1.)
Find the surface area
of a water tower that is
40 feet tall and 20 feet
across the base.
square feet
Do NOT round your answer.

Answers

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

What is the solution to 3.25k + 1 - 4.25k = -2

Answers

Answer: K=3

Step-by-step explanation: Have a nice day!-Lily ^_^

K=3 is the answer my work is in the picture

Find the Y intercept of the line y-3=2(x + 1)​

Answers

Answer:

y=2x+1

Step-by-step explanation:

Please help me with this! I will give 25 points and Brainliest if it is correct!

Which ratio is equivalent to 4:5?

A. 10/15

B. 4/10

C. 16/20

D. 15/ 8

Answers

Answer:16/20

Step-by-step explanation:  

if you divide the two numbers by 4 you have:

16/4=4

20/4=5

(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)

So the two numbers are same

The answer is 16/20 I really hope this helps

Find the percent error in this situation:
Estimated value: 145
Actual value: 189

Answers

Answer:

30.3% im so sorry if this is wrong if it is u can report this :(

Step-by-step explanation:

Answer:

23.3%

Step-by-step explanation:

You have to first take the estimated value - the actual value

= 145-189 = -44

Then you want to take -44 divide the actual value which is 189

= -44 / 189= 0.232804233

Lastly, you want to take 0.232804233 and multiply it by 100

= 0.232804233 x 100= 23.28042328

Round that number to get

=23.3%

What are the like terms in the following algebraic expression? 5 - 3y + 2x - 5y + x - 2 + 3x^2

Answers

Answer:

3y+2x+5y+3x

Step-by-step explanation:

sepreate the varible numbers from the reguler

3x+2y=400
2x+3y=425
What is the value of x and y

Answers

Step by Step explanation:If 2x+3y=425 and 3x+2y=350 find x and y. 1 ... If the sides of a right triangle are 3^2 ,4^2 and Y what are both possible values of y^2? I figured ...

1 answer

Missing: 400 ‎| Must include

Is this an example of a function?
Yes or no?

Answers

Answer:

Yes.

Step-by-step explanation:

this square-based oblique pyramid has a volume of 125 what is the height of the pyramid?

Answers

I feel like you need more information here. The volume of a square pyramid is 1/3s^2h where s is a side of the square and h is the height, but you’re only given the volume. Is there a picture that shows what one of the sides is?

HELP THIS IS DUE FOR TODAY's WORK

In a high school basketball game, Sarah scored 19 points in the first half of the game. In the second half, Sarah scored only 3-point shots. Sarah scored a total of 37 points during the entire game. How many 3-point shots did Sarah make in the second half?
Group of answer choices

18

19

4

6

Answers

Answer:

19-37=18

18÷3=6

she scored (6) 3-points

Answer:

4

Step-by-step explanation:

what you would do is 19-3 and get 16 then add 3 until you get 37. you would have to cout how many times you counted up 3, here we go,16,19,21,24,27,30,33,36 we have a remainder but she made 8 shots. so since we are 1 short we have to divide by 2 to get 4.

hope this helped, pls mark brainliest

solve the equation 4x^2-27x-5=-10x to the nearest tenth

Answers

Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...

Step-by-step explanation:

The solution of the equation:

x = -0.28 to the nearest tenth.

x = 4.53 to the nearest tenth.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation,

4x²-27x-5 = -10x

Simplifying,

4x²-27x-5 + 10x = 0

4x²-17x-5 = 0

So,

x = {-(-17) ± √(289 + 80)}/8

x = (17 ± √369) / 8

When we take - sign,

x = - 0.276

x = -0.28 to the nearest tenth.

When we take + sign,

x = 4.526

x = 4.53 to the nearest tenth.

Therefore, the values are x = -0.28 and x = 4.53.

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heyyy wanna help mee

Answers

Answer: Only j = 2

============================================

Explanation:

Let's solve for j

[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

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

If j = 2, then,

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

Answer:[tex]\boxed{\boxed{\sf{j=2}}}[/tex]Solution Steps:

______________________________

1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]

So this is False.

2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]

So this is False.

3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]

So this is True.

4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]

So this is False.

______________________________

how many months give you 27 years​

Answers

Answer:

324 Months

Step-by-step explanation:

Answer:

324 months according to goggle.

10 pts+ brainliest if correct

Answers

Answer:

C.

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour. At 3 pm, the ship adjusts its course on a bearing of N 20º E. How far is the ship from the port at 4pm?

Answers

It was not until the end of the day I will be able to get the most out of the way ↕️ the first place in the first half of the season ⛄ and a few others are doing it is not the only one who has a lot of very high quality of care and treatment for me and the second is a very nice, but it does was the only thing I do you know that you can get the best out there that can be used for the first time in a long time, but I think it is a very nice and the other hand, the more I think about it, I was able to get the most out of your way to a new study by its is the only one who has a very nice to be able to get the most from a variety of different types of people and a few others.

40% of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?

Answers

The answer should be 6 hope this helps


A glass vase factory recently produced 4 vases that were chipped and 16
vases that were not. Considering this data, how many of the next 10 vases
would you expect to be chipped?

Answers

Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

[tex]\frac{1}{5} = \frac{x}{10}[/tex]     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2

A jacket costing £30 increased in price by 10% and then by a further
15%. How much did it cost after the increases?

Answers

30*10%/100=3
30+3=33
33*15%/100=4.95
step by step explanation

Is x^4x^5=x^9 power of a power

Answers

I think that this is a power of a power

Emily sold lemonade. Each serving of lemonade was 8 fluid ounces. Which measurement is equivalent to each serving of lemonade Emily sold?

Answers

Answer:

Catch Me Knuckles!

Step-by-step explanation:

graph y= 2/3x-4

How do I graph this?

Answers

Answer:

Read below !!

Step-by-step explanation:

Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!

I hope this helps !!

state if polygons are similar

Answers

Yes polygons are similar just not the same size
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