solve the system of equations 6x+3y=12 and 5x+y=7

Answers

Answer 1
6x+3y = 12
Solving for x
3(2x+y)=12
2x+y=12/3
2x+y=4
2x=4-y
X=4-y/2
Answer 2

Answer:

x = 1; y = 2

Step-by-step explanation:

To find x:

Multiply (5x+y=7) by 3 to get the y's in both equation the same, and you will get 15x+3y=21.

Now the y's cancel out. Subtract the remaining equations: (15x=21) - (6x=12) and you get 9x = 9. Divide everything by 9 and you get x=1.

To find y:

You can substitute 1 for x in either equation. I will use (5x+y=7).

Substitute the 1 for x: 5(1)+y=7

Simplify: 5+y=7

Put like terms on the same side by subtracting 5 from both sides: y=2

Check:

6(1) + 3(2) = 12

6 + 6 = 12

12 = 12 - this is right

5(1) + (2) = 7

5 + 2 = 7

7 = 7 - this is right


Related Questions

please help me! i’ll mark you as brainlist !

Answers

Answer:

6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.

7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.

Step-by-step explanation:

1/2, 7/12 ,2/3,3/4 what’s the next fraction ?

Answers

Answer:

Step-by-step explanation:

1/2 = 6/12

7/12= 7/12

2/3= 8/12

3/4= 9/12

5/6 = 10/12 the next fraction

Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?

Answers

she can walk 24 miles in 3 hours

Answer:

24 miles

Step-by-step explanation:

3 hours = 180 minutes

[tex]\frac{4}{y}: \frac{30}{180}[/tex]

y × 30 = 4 × 180

30y = 720

30y ÷ 30 = 720 ÷ 30

y = 24

Given the point (-4,-6), what is the coordinate of the point reflected over the X-axis and Y-axis?

Answers

Answer:

(4, 6)

Step-by-step explanation:

if it's a reflection then I believe it would just look exactly the same only with positive numbers

sorry if it's wrong, but hope it helps :)

Answer:

(4, 6)

Step-by-step explanation:

In the question it says "reflected over the X-axis and the Y-axis?"

When reflected you get (4, 6)

The opposite of Negative is positive

Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?
The drama class sold how many tickets?
The solution is?

Answers

9514 1404 393

Answer:

90 student tickets65 adult tickets

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

Find the surface area of the regular pyramid

Answers

24ft^2 I think this is right :)

Point M is the midpoint of AB. Find AM.
2x + 34
6x + 26
+
A
M M
B

Answers

Answer:  AM = 76 and AB = 152

Step-by-step explanation:A little annoying but basically AM times 2 shoud equal AB or (2x+34)*2 = 6x+26 solve to get x equals 21 plug back in to get 76 for AM and 152 for AB

• Work out the percentage change to 2 decimal places when £78.98 is increased to £100​

Answers

Answer:

The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.

Divide the total change by the original amount to determine the percentage change the new amount represents.

21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.

is 0.12 greater than 0.9?

Answers

yeahhh bro it is haha

Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)

Answers

Answer:

y = 2x² - 72 = 0

Step-by-step explanation:

2(x - 6)(x + 6) = 0

2(x² - 36) = 0

2x² - 72 = 0

The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.

A quadratic equation with roots at 6 and -6 can be written in factored form as:

(x - 6)(x + 6) = 0

To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:

2(x - 6)(x + 6) = 0

Expanding the equation:

2(x² - 36) = 0

Distributing the 2:

2x² - 72 = 0

Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:

2x² - 72 = 0

To know more about quadratic equation click here :

https://brainly.com/question/30111792

#SPJ2

Does this look right? Explain why


5/6


6.565656…


0.23


-5 3/8

Answers

Answer:

Yes

Step-by-step explanation:

Yes ,a rational number is a number that can be expressed as a fraction. Repeating and terminating decimal are rational number so

5/6 is right since it is a fraction

6.565646 is right since it is a repeating decimal

0.23 is right since it is a terminating decimal

-5 3/8 is right since it is a mixed number

Sqr root of 11 and 0.32416.... is wrong since it creates multiple random unknown digits

It snowed 20 inches in 10 days in Canada. At what unit rate did the snow fall?

Answers

It falled at a unit rate of 2. Divide 20 by 10 . Mark me the brainlyest

Answer:

2 inches per day

Explanation:

Divide 20 by 10

Aaron went to watch The Avengers at the movie theater. He noticed that 60% of the movie extras during one of the scenes were teachers from his school. He recognized 24 teachers from his school. How many movie extras were there all together?

Answers

Answer:

40 extras

Step-by-step explanation:

24 is 60% I would divide 24 by 6 to get 10% 24/6 is 4. 4*10 is 40. There were 40 extra's all together.

how many seconds were in the month of February 2017? and how did you calculate the answer?

Answers

Answer:

2419200 seconds

Step-by-step explanation:

this is the answer to your question

Simplify 8w+3-2w=11(-4w+2)

Answers

Answer:

w = 2.63157894736

Step-by-step explanation:

8w+3-2w=11(-4w+2) | Given

6w + 3 = -44w + 22 | Combine like terms & distribute

50w + 3 = 22 | Add 44w to both sides

50w = 19 | Subtract 3 from both sides (simplified)

w = 2.63157894736 | Divide both sides by 50 (value of w)

raiz cuadrada de -200​

Answers

.........Es 14,1421356 i

A 42 inch Plasma TV first hit the market at a price of 1800. After the holidays it was reduced by 20% and finally the price was slashed another 25%. What was the final price of the TV?

Answers

9514 1404 393

Answer:

  1080

Step-by-step explanation:

The first price reduction reduced the price to (1 -20%) = 0.80 times the original. The second price reduction reduced the price to ...

  0.80(1 -25%) = 0.80×0.75 = 0.60

times the original.

The final price was ...

  1800 × 0.60 = 1080

x = y+2
x+4y=7

Please help!

Answers

since x = y + 2

so
y + 2 + 4y = 7

5y + 2 = 7

5y = 7-2

5y = 5

y = 1

x= y + 2

x = (1) + 2

x = 3

(x,y) = (3,1)

-u/5=-27 help pls due today

Answers

Answer:

u = 135

hoped i helped u

Step-by-step explanation:

u = 135 ...........................

Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number

Answers

Answer:

1 8/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

15/21+14/21=29/21

Kaylee invested $830 in an account paying an interest rate of 6.6% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,260?

Answers

Answer:

t≈6

Plug values into A=P(1+r/n)^nt

1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)​

Answers

Answer:

Step-by-step explanation:

Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)

A coin is tossed and ​six sided die numbered 1 through 6 is rolled. Find the probability of tossing a tail and then rolling a number greater than 1.

Answers

Answer:

5/12

Step-by-step explanation:

A coin has two faces (H, T)

n(S) = 2 (sample space)

If it is tossed and a rail is gotten,

n(E) = 1 (event)

Probability of tossing a tail = n(E)/n(S)) = 1/2

If a dice is rolled, the sample space S = {1, 2, 3, 4, 5, 6}

n(S) = 6

Number greater than 1 are the evens E = {2, 3, 4, 5, 6}

n(E) = 5

pr(rolling a number greater than 1) = 5/6

Hence  the probability of tossing a tail and then rolling a number greater than 1 = 1/2 * 5/6

= 5/12

Please Help asap!! I will give brainly to whoever answer correctly! I need to submit this answer by today!
Which statement best describes the expression 3y ÷ 8?
(answer choices-
A- 8 divided by 3 times y
B- 8 times y divided by 3
C- 3 divided by 8 times y
D- 3 times y divided by 8

Answers

Answer:

C or D

Step-by-step explanation:

Answer:

I think option D 3 times y divided by 8

A recent survey of 1210 people found that out of all respondents, only 579 shop at local farmer's markets.



Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points

Is this a part-to-part or a part-to-whole ratio? 1 point

Only on your paper: Write a sentence about the ratio. (Remember not to use the word "ratio" and to use a percent version, if it is a part-to-whole ratio.)

Answers

579 farmers in One market is quite an extraordinary number but as soon as you take those farmers and put them in a Walmart it will not happen so efficiently

Solve the inequality.
m + 3 < 5
Please help with this

Answers

Answer:

Step-by-step explanation:

m+3 < 5

Isolate the m by subtracting 3

m+3 - 3 < 5 - 3

m < 2

x + 7 = 9
What does X equal?

Answers

2 i hope this helps ok bye
X = 2 because if you subtract 7 from 9 it would equal 2

Thera are 9 players on a baseball team a club has 9 baseball teams how many baseball players are in the club

Answers

Answer:

81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

9 in each team and theres 9 teams in all

9*9=81

what is 6 more than -3 in integers​

Answers

Answer:

3

Step-by-step explanation:

-3 + 6 would be 3.

hope it helps!

6 > -3


- More than means ‘ > ’
- Less than means ‘ < ’
- More than or equal to means ‘ ≥ ’
- Less than or equal to means ‘ ≤ ’

Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.

Answers

Answer:

522.0

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

Answer:

522.0

Step-by-step explanation:

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

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