solve the system of equations by the addition method

5x + 2y = 6

4x - 3y = 14​

Answers

Answer 1

Answer: x=2, y=-2

Step-by-step explanation:

1) I will find x first, so make the amount of Ys same

   3(5x+2y=6)

   2(4x-3y=14)

2) 15x+6y=18

    8x-6y=28

3) combine them together so Ys are all cancelled and 23x=46

4) x=2

5) for solving y, you can just plug in the x to any of that 2 equations, then 4(2)-3y=14

6) 8-3y=14

7) -3y=6

8) y=-2


Related Questions

Can someone help with this one?

Answers

Answer:

3!

Step-by-step explanation:

Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. Her first coupon was 20%. If she paid $30 for the shoes, what was the dollar amount taken off for the first coupon? She received a $____ discount with the first coupon.

Answers

Answer:

$10

Step-by-step explanation:

Because 20% of 50 is 10 so 50-10=40 then 40-30=10

Which equation fits the situation? Mikes test score was 20 points lower than marks if mark scored a 95 on the test which equation would give mike’s score

Answers

Answer:

95 - 20 = t

Step-by-step explanation:

Let's start with the facts. You know that Mike's test score is 20 points lower than Mark's. You know that Mark's score was 95.

If we are trying to find Mike's test score, t, the equation would be this:

The equation would be 95 - 20 = t

I hope this helps :)

Which graph represents the inequality y<−1+2x?

Answers

Answer:

B

Step-by-step explanation:

negative slope so the line will go down and it has a less than sign so the shade will be below it

80/91 + 5/9 plz help

Answers

Answer:

1.43467643468

Step-by-step explanation:

Answer:

I think the answer is 1.44

Step-by-step explanation:

this is a simplified version of 1.43467643


Re-write the standard form equations provided in slope-intercept form
4.5x – 10y = 15

Answers

Y=0.45x-3/2 i think is the answer

How to make 20 using the number 3,5,6,3 add

Answers

Answer:

3+3+6+5+3=20

Step-by-step explanation:

3+3=6

6+6=12

12+5=17

17+3=20

Answer:

(3x3)+6+5

Step-by-step explanation:

3 times 3 is 9

9 plus 6 is 15

15 plus 5 is 20

i need help with this equation can someone please help me

Answers

Answer:

d= 24

Step-by-step explanation:

-2= d/3 - 10

-6= d-30

-d=-30+6

-d= -24

d= 24

Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of cars sold in first month = 4900

Sales drop by 100 cars per month for the first year:

A(x) = a - 100(x - 1)

No = sale In first month = 4900

First five months

Ist month :

a = 4900

2nd :

4900 - 100 = 4800

3rd :

4800 - 100 = 4700

4th:

4700 - 100 = 4600

5th:

4600 - 100 = 4500

First five terms : (4900,4800,4700,4600, 4500)

Predicted sales for 12th month :

A(12) = 4900 - 100(12 - 1)

A(12) = 4900 - 1100

= 3800

Total sales for the first year:

4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =

= 52,200

Please help me similar triangles

Answers

Answer:

30 degrees

Step-by-step explanation:

14 + 5 + 11 = 30

180 / 30 = 6

6 x 5 = 30

So:

The smaller triangle is 30 degrees.

Hope this helps!

HELP ME PLEASE FAST​

Answers

Answer:

3. x=4   4. x= 2

Step-by-step explanation:

just trust me

Multiply and simplify the product.
–12i × 3i

Answers

Answer:

36

Step-by-step explanation:

An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
A. 312
B. 350
C. 494
D. 700

Answers

Answer:

B. 350

Step-by-step explanation:

done on edge

The sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

An arithmetic series contains 14 numbers.

The first number is 12.

The last number is 38.

As we know, the sum of the arithmetic sequence or series is given by:

S = (n/2)(a + l)

Here, S is the sum of the AP

n is the number of terms

a is the first term

l is the last term

n = 14

a = 12

l = 38

S = (14/2)(12 + 38)

S = (7)(50)

S = 350

Thus, the sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ5

If b= 40 degrees and c= 30 degrees, what is the measure of d?

Answers

Answer:

It would be D. 110 degrees

Step-by-step explanation:

A triangle is always equal to 180 degrees. So, if you add b + c, you get 70 degrees. Subtract that from 180, and you get 110. Hope this helped!

Answer:

a = 110 degree

d= 70 degree

Step-by-step explanation:

a+b+c = 180. (being sum of all interior angle of a triangle is 180 degree)

a+40+30 = 180

a=180-70

a = 110

Similarly,

a+d=180. (being supplementary angle)

110+d=180

d= 70

I really need help with this one

Answers

Answer:

28

Step-by-step explanation:

Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:

3x+4 = 5x-6

3x+10 = 5x

10 = 2x

x = 5

Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:

(3*(5)+4)*2

=(15+4)*2

=19*2

=28

(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)

Therefore, the length of AC is 28.

Five more than four times a number

Answers

Answer: 4x +5

Step-by-step explanation:

5+4n

If a problem says “(five) more than” that means your adding.

“(four) times” means your multiplying.

“a number” is your variable.

your answer would be 5+4n. *n* being a number.

What is 1.8 divided by 2? Show Work

Answers

Answer:

0.9

Step-by-step explanation:

Unless is there is another way to answer this question, all you have to do is put it into a calculator.

Rewrite the expression in the form 3^n.

Answers

Answer: 3^2

Explanation:

Cross off four copies of '3' in both the numerator and denominator. Each pair cancels because 3/3 = 1, and 1 times any number is the same number. See the diagram below.

The numerator will be left with two copies of '3'. The denominator won't have anything left.

So we have 3*3 = 3^2

a sno-cone machine priced at 139$ is on sale for 20% off , the sale tax is 10

Answers

Answer:

The overall price would be 125.1

Step-by-step explanation:

The sales tax is $13.90

the sale takes off $27.8

So 139 - 27.8 + 13.9 is 125.1

pls rate my answer

2(x + 9) = 4(x - 7) + 2

Answers

Answer:

x = 22

Step-by-step explanation:

Step 1: Write equation

2(x + 9) = 4(x - 7) + 2

Step 2: Solve for x

Distribute: 2x + 18 = 4x - 28 + 2Combine like terms: 2x + 18 = 4x - 26Subtract 2x on both sides: 18 = 2x - 26Add 26 to both sides: 44 = 2xDivide both sides by 2: 22 = xRewrite: x = 22

Step 3: Check

Plug in x to verify it's a solution.

2(22 + 9) = 4(22 - 7) + 2

2(31) = 4(15) + 2

62 = 60 + 2

62 = 62

Answer:

x=22

Step-by-step explanation:

2x+18=4x-28+2

2x+12=4x-26

2x+44=4x

44=2x

22=x

classify each equation below as a formula , a literal equation ,or both.
c=2d , a=1/2bh , y=2x-1, p=2e+ 2w

Answers

delete my answer please its useless

A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no membership fee, but that store charges $2.00 to rent a game. How many games need to be rented each month for the total fees to be the same from either store?

Answers

Answer:

6 games.

Step-by-step explanation:

Given that,

Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00

Another store has no membership fee, but that store charges $2.00 to rent a game.

Let there be n games needed to be rented each month for the total fees to be the same from either store.

Cost of first store = $7.50+$1.00n

Cost of another store = $2.00

If cost equals,

$7.50+$1.00n=$2

n=5.5 [tex]\approx[/tex] 6

Hence, 6 games needed to be rented each month.

Your homework grades are 92, 87, 74, 96, 83, 88, 91, 82, and 85. What score on your next homework will make the median and the mode equal? List the scores in order from least to greatest. You can use the strategy Systematic Guess and Check to help you find the solution.

Answers

Answer:Next  homework  Score should be  87.

Step-by-step explanation:

STEP 1

Listing the scores in ascending order ie from least to greatest gives

74, 82, 83, 85, 87, 88, 91,92, 96

STEP 2

we find the median--- The median score is the score  that is in the middle of the set of results when arranged from lowest to highest as we have done above , which give  us 87 as the median.

74, 82, 83, 85,   87,    88, 91,92, 96

Also Mode is the score with the highest frequency , ie the score which appears more than other numbers. For now we have no mode as all the numbers occurred once

Therefore in next exam, I should get a score of 87,  making my scores to become

74, 82, 83, 85, 87, 87, 88, 91,92, 96

Now my mode becomes 87 ( highest frequency of  occurrence ) and

My median becomes (87+ 87)/2 = 87  ( with the addition of a new score the total score become ten, which is now even, so we divide the addtion of the two middle numbers by 2 )

How do you know whether two quantities x and y are proportional? Every ratio yx for related pairs of x and y is equivalent. Every sum x + y is the same for related pairs of x and y. Every x term is a multiple of the previous term. Every difference x – y is the same for related pairs of x and

Answers

Answer:

Two quantities x and y are said to be proportional if ratio yx for related pairs of x and y is equivalent.

Step-by-step explanation:

Two quantities x and y are said to be proportional if ratio [tex]yx[/tex] for related pairs of [tex]x[/tex] and y is equivalent.

The symbol ∝ is used to denote the proportionality. For example, if [tex]x[/tex] is proportional to y, then it is represented as [tex]x[/tex]∝y and if [tex]x[/tex] is inversely proportional to y, then it is represented as [tex]x[/tex] ∝ 1/y

HELP ME PLZZI NEED HELP WITH THIS!!

Answers

Answer:

The answer is C

Step-by-step explanation:

You would move the dot on the number to the right 5 spots, ending up at -4.

A swimmer competes in a 200 meter free style race. If the swimmer finishes the race in 5 minutes. How fast was the swimmer swimming?

Answers

Answer:

40meters per minutes

Step-by-step explanation:

Answer:

40m/min

Step-by-step explanation:

200m/5min

40m/min

Hope this helps!

Someone help please!!

Answers

Answer:

B

Step-by-step explanation:

Even though -3.613 has more digits, if you add a zero to -3.63 it becomes -3.630. -3.630 is greater than -3.613.

Answer:

b i think

Step-by-step explanation:

I need help with this question​

Answers

Answer:

4.20

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

it starts with 2.80 and four is that dou led so we have to find half of 2.8 then add it to find three (I'm bad at explaining)

A car can travel 80 miles on 4 gallons of gasoline. If the gas tank, which can hold about 15 gallons, is half full, how many miles can the car travel before it runs out gas?

Answers

Answer: 150

Step-by-step explanation: A car can travel 80 miles on 4 gallons of gas if the gas tank can hold about 15 gallons is half full there will be 7.5 gallons of gas in the can so multipy the 80 miles by 1.875, 150

which number is bigger than the other? -0.75 or -5/4!! Please help!

Answers

Answer:

-0.75

Step-by-step explanation:

-0.75 or -5/4

-0.75 or -1.25

-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.

Other Questions
Put the following equation of a line into slope-intercept form, simplifying allfractions.2x + 2y = 4 ..Jesus' teaching that the "first shall be last and the last shall be first means:a. The righteous shall be exalted in the kingdom of Godb. The humble will be punished for their sinC. Both of the aboved. None of the above What is our claim statement?The English and colonists did not like each otherThere was rising tension between the colonists and the English government in the 1760s and 1770sI wish pizza could always have pineappleMrs. Wilson loves historyWhat is the first piece of evidence that supports the claim?What is the second piece of evidence that supports the claim?What is the third piece of evidence that supports the claim? Cycads are gymnosperms that were diverse and abundant during the Mesozoic era. Extant species of cycads share many traits with those from the Mesozoic era. Cycads bear cones, are long-lived with slow growth rates, show late reproductive maturity, and have very few offspring. Based on this description, the cycads are 50 points will give brainlyest Since thermal energy represents the total energy of the particles in an object, at the same temperature, the larger object will possess more thermal energy.Question 3 options: True False If Ill m, solve for x and y.(7x -23)49(3x)(11y 1) Greg earned $25 aftermowing lawns for 3hours. How much willhe earn after 7 hoursat the same rate ? hi can someone pls help me Country X manufactors a product better and at a lower cost than country 10 pointsY? What should happen? *Country X has solved the problem of scarcity.Country Y should try to produce the same product.Country X should discontinue making that product.Country X should sell that product to Country Y.Specialization increases trade because a country can get what it needs at 10 points What type of change cannot be called development Which of these words is a qualifier?alwayssomenonenever __________ are the political leaders of the United States who helped in creating its system of government.A.The followers of Shays RebellionB.CongressC.The Supreme Court justicesD.The Framers The movies has 4 bathrooms in 16 theaters what is the bathroom to theaters ratio? Write three sentences in german about what you like in Regina Halmich. For example you should write : Ich finde, dass Regina Halmich eine interessante Sportlerin ist, weil sie Frauenboxen bekannt gemacht hat. Please help i will give 35 points A pole that is 3.3m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is 47.75m long. How tall is the tower? Round your answer to the nearest meter. 5.It is commonly exerted by way of a push or a pull on an object. What is it?A. energyB. powerC. force D. Work In this polygon, which angle is an interior angle?ACBD in a well structured paragraph, the claim on the previous passage and evaluate the effectiveness of the evvidence the author presents to support it. Why do people have faith on the construction prepared from constituent assembly? What causes tectonic plates to move?A. When the mantle moves, the plates move.B. When the inner core moves, the plates move.C. When the outer core moves, the plates move