x+y=14
2x+3y=30
How do I determine which method is used for this and what is it? (Thorough explanation please)

Answers

Answer 1

Answer:

x = -18

y = 4

Step-by-step explanation:

x + y = 4

2x + 3y = 30

You can do any math operation to each side of the equal sign as long as you do the same operation to both sides.

change x + y = 4       to        x = 4 - y  

Now substitute (4 - y) into the second equation, in place of x.

2(4-y) + 3y = 30

multiply the 2(4-y) part:

8 -2y + 3y = 30

simplify:

8 + y = 30

subtract 8 from each side:

y = 22

now substitute the value of y back into the first equation to solve for x:

x + 22 = 4

subtract 22 from both sides:

x = -18

Check:

x + y = 4

22 -18 = 4  

4 = 4       (this checks)

2(-18) + 3(22) = 30

-36 + 66 = 30

30 =30     (this checks also)

PS: you could have solved for y first if you had wanted to. The results would be the same.


Related Questions

i need some help plss asap

Answers

Answer:

Choice 1) 640 Pi

Step-by-step explanation:

8^2(Pi)(10)=volume = 640Pi

Answer:

A. 640pie

Step-by-step explanation:

pie(8)²10 multiply this equation it should get you 640pie

BRO LIKE I'M THE MOST STUPPID PERSON YOU'LL EVER MEET.
pls help mee

Answers

Answer:

80°

Step-by-step explanation:

Here the missing angle is x

So,

x + 100° = 180° [linear pair]

=> x = 180° - 100°

=> x = 80° (Ans)

Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems each day for 36 days, which best describes the number of problems that he needs to do each day?

Answers

Answer: 8/9 questions

Step-by-step explanation: 312/36= 8.6...

The answer depends on if you want to round up or down.

3/4x=48 What is x? I can be a decimal or fraction.​

Answers

Answer:

x=64

Step-by-step explanation:

Answer:

x = 64

Step-by-step explanation:

I cant give you the stel by step but I can check the work the fraction 3/4 multipled by 64 is 48.

What's is a Binomial

Answers

Answer:

A binomial is an algebraic expression of the sum or the difference of two terms.

Step-by-step explanation:

Hope I helped! :)

Determine the intercepts of the line.

Y-intercept (____,____)
X-intercept(____,____)

Answers

Answer:

to find the intercepts, look for the point where the axes and the line intersect.

x-intercept: (3.5,0)

y-intercept: (0,2.5)

(a²+2ab+b²)÷(a-b) divide it​

Answers

I hope this answer will helps you.

HELP PLEASE ASAP
PLEASE

Answers

Answer:

3rd answer

Step-by-step explanation:

I'm sorry don't know just guessed

How many gallons each of 20​% alcohol and 10​% alcohol should be mixed to obtain 10gal of 11​% ​alcohol?

Answers

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20​% alcohol = 1 gal

10​% alcohol = 9 gal

(2) Explain how the product of 3 and 65 could be used to find (0.03) - (0.65).*

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Explain how 3 * 65 could be used for (0.03) * (0.65)

0.03 is to 2 decimal places and 0.65 is also to 2 decimal places

In total, we have: [tex]2 + 2 = 4[/tex]

So, to get (0.03) * (0.65) from 3 * 65.

Simply calculate the product: 3 * 65

Then divide by 10 to the power of the sum of the decimal places i.e. 4

This is shown below

(0.03) * (0.65)

Express as fraction

[tex](0.03) * (0.65) = \frac{3}{100} * \frac{65}{100}[/tex]

[tex](0.03) * (0.65) = \frac{3*65}{100*100}[/tex]

[tex](0.03) * (0.65) = \frac{3*65}{10^2*10^2}[/tex]

[tex](0.03) * (0.65) = \frac{3*65}{10^4}[/tex]

Max's Market sells 6 eggs for £1.98.
Groceries Galore sells 8 eggs for £2.48.
Fancy Foodstuffs sells 12 eggs for £3.84.
Which shop's price per egg is better?

Answers

Max=0.36 per egg

galore=0.34 per egg

foodstuff=0.33 per egg

last one is the best

Answer:

Max's Market.

Step-by-step explanation:

Max's Market:

£1.98 x 6 =  £11.96

Groceries Galore:

£2.48 x 8 = £19.84

Fancy Foodstuffs

£3.84 x 12 =  £46.08

Hoped this helped. :))

i will gib brainliest if u help me >:C

Answers

Answer:

1,800

Step-by-step explanation:

Why is because 6 is over for and u estimate to the nearest hundredth and then again the six is still there so u estimate the with the 100 place with give u a 800 so its 1,800

Evaluate the expression 6 + 4 x {3+7}.

Answers

Answer:

46

Step-by-step explanation:

6 + 4 x {3+7} [B.O.D.M.A.S rule] (First bracket)

= 6 + 4 × 10. (Then Multiplication)

= 6 + 40. ( At last addition)

= 46 (Ans)

The simplified value of the expression  6 + 4 × {3 + 7} is 100.

What is PEMDAS rule?

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, An expression 6 + 4 × {3 + 7}.

First, we'll add 6 and 4 as 3 and 7 are inside curly brackets,

not in parentheses.

Therefore,

6 + 4 × {3 + 7}.

= 10 × {3 + 7}.

Now, we can either distribute the terms or take the addition and multiply.

= 10 × 10.

= 100.

learn more about PEMDAS rule here :

https://brainly.com/question/36185

#SPJ2

Someone help me please what is 4.3x102

Answers

4.3 times 102 is 438.6

Hope this helped! :)

Answer:

4.3 x 102 = 438.6 <3

You need to use long multiplication to find your answer.

GL!

(side note, it would be amazing if you could mark me brainliest so i can level up <33)

What type of line segment is represented by the dotted line.
Please help me on this question, it is for geometry.

Answers

Answer: Altitude

Step-by-step explanation:

It's an altitude because it creates a 90° angle (perpendicular to the base)

Can someone help me with this math question it’s on the image please!

Answers

Answer:

564

Step-by-step explanation:

56

Answer:

A is equal to 3 and B is equal to 2

Rename each fraction using a common denominator for both 1/3 1/4

Answers

I think it’s numerator

the price of an item has been reduced by $4.07. the new sale price is 82.09. what was the original price

Answers

Answer:

$86.16

Step-by-step explanation:

82.09+4.07=86.16

Answer:

The original price was $86.16

The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure

Answers

Answer:

3. m<GHF= 90 degrees

4. m<DGH= 45 degrees

5. HF=5

6. DE=50

Step-by-step explanation:

3. The measure of angle DGF and EFG are 45 degrees each and 45+45 is 90 degrees. When you subtract 90 from 180, you get 90.

4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles. This means that angle DGH is half of angle DGF and 90/2=45.

5. The diagonals of a square are congruent so it is also 5.

6. You use the Pythagorean Theorem and 5^2 + 5^2=50

The diagonals of square DEFG intersect at H. The measure of the following option; 3. m∠GHF= 90 degrees. 4. m∠DGH= 45 degrees 5. HF=5 6. DE=50

What is the property of a square?

That rectangle whose all sides are equal is called a square.

A square is always a rectangle, parallelogram, a rhombus, and a quadrilateral but its reverse statement may or may not be true.

(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).

The diagonals of square DEFG intersect at H.

Given that EH = 5, we need to find the measure of the following option;

3. The measure of ∠DGF and ∠EFG are 45 degrees each .

The sum of the angle of the bisector of diagonal 45 + 45 = 90 degrees.

When you subtract 90 from 180, you get 90.

4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles.

This means that ∠DGH is half of ∠DGF

90/2 = 45.

5. The diagonals of a square are congruent so HF is 5.

6. By Pythagorean Theorem

[tex]DF^2 = 5^2 + 5^2\\\\DF = \sqrt{50}[/tex]

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ2

i need help with this math problem

Answers

Step-by-step explanation:

I've shown the process in the picture. hope that helps

ASAP WHO EVER ANSWERS THIS WILL BE MARK BRANLIEST

Answers

Answer:

c. 5, all

(5 people were selected and all the spectators purchased tickets)

Answer:

C

Step-by-step explanation:

Can anyone answer this question for me.

Answers

Answer:

That is the formula for solving quadratic equations like:

ax^2+bx+c = 0

You substitute the variables from your quadratic equation to solve them.

It would be 0

I’m
In college to help other

Solve for all values of c in simplest form.
|4-c| = 7

Answers

Answer:

Step-by-step explanation:

|4-c| = 7

4-c = ±7

c = 4 ∓ 7 = -3, 11

c=3
explanation: 4-3 is equal to -7 and those lines make the number positive

use the volume formula to find the volume of the prism

Answers

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

is there any answer choices

If you like vampire diaries plz tell me DAMON OR STEFAN......​

Answers

Answer:

i like both of them

Step-by-step explanation:

I don’t watch it.. but team stefan

please help fast HELP

Answers

Answer:

The letters are really small I can't see it.

Step-by-step explanation:

Sorry

what is the answerk of this 3
3х2
4ys​

Answers

Answer:

33×2=66

4ys

Step-by-step explanation:

or is it 33×24ys=66ys

I need help with this.

Answers

Answer:

im not vary shur

im so sorry but u may be in a hier grade than me

Kayla and her children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.

Answers

Answer:

x= hotdogs

y=tacos

Step-by-step explanation:

(3.50)x+ 3x + 4y= 63

The estimate obtained from a sample of which size is likely to be closest to
the actual parameter value of a population?
A. 50
B. 120
C. 100
D. 75
Help??!!??

Answers

Answer: 120

Step-by-step explanation:

AP.EX

The estimate obtained from a sample of 120 is likely to be closest to the actual parameter value of a population

In sampling; the higher the sample size, the higher the estimate cam be closer to the actual parameter

From the list of given options;

The sample size 120 has the highest chance to be close to the actual parameter value

This is so because, 120 is greater than other sample sizes

Read more about sample size at:

https://brainly.com/question/7301139

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