Solve the system of equations 2x + 2y = 6 and 2y - x = 12 using any method.

Answers

Answer 1
2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5
Answer 2

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)


Related Questions

Consider this system of equations and the partial solution below.

6 x + 2 y = 6.
7 x + 3 y = 9.

Multiply the first equation by –3.
Multiply the second equation by 2.
Add the resulting system of equations.

Which terms will cancel when you add the resulting system of equations?

Answers

The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.

Answer:

A

Step-by-step explanation:

What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1

Answers

Answer:

32 - 1

Step-by-step explanation:

1
6
the fourths and sixths are
1
7
In this picture of
4
subdivided further.
What do you notice, with these new subdivisions?

Answers

I think it’a nothing, do you have a bone of the above
Your answer will be 26

A theater has group prices for tickets. The first ticket will cost $10 while each additional ticket costs $8. Which rule models the situation?
a. an= 10 + 8 (n - 1)
b. an-1= 10 + 8 (n - 1)
c. an= 18 (n - 1)
d. an-1= 18 (n - 1)

Answers

Answer:  Choice A.

an = 10 + 8(n - 1)

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

Explanation:

a1 = 10 is the first term

The common difference is d = 8 since we add 8 to each previous price to get the next price.

We have the arithmetic sequence with nth term of

an = a1 + d*(n-1)

an = 10 + 8(n - 1)

If you wanted, you could simplify that to get

an = 10 + 8n - 8

an = 8n + 2

Please help due in 9 minutes

Answers

Answer:

1. b, 2. d, 3. c, 4. a.

Answer:

Step-by-step explanation:

4/7 goes to 1/7, because 1/7 is a part of 4/7

12/15 goes to 1/15 because 1/15 is the unit fraction of 12/15

6/9 goes to 1/9

and 1/3 goes to 2/3

Find DE
13x-37
2x+13

Answers

Answer:

DE = 27

Step-by-step explanation:

From the picture attached,

Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.

By the mid-segment theorem,

A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.

DC = [tex]\frac{1}{2}\text{AB}[/tex]

(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]

2(2x + 13) = (13x - 37)

4x + 26 = 13x - 37

13x - 4x = 26 + 37

9x = 63

x = 7

DE = 2x + 13

     = 2(7) + 13

     = 14 + 13

     = 27

help me answer this please!!! i will mark you brainliest

Answers

Answer:

363 ft.

Step-by-step explanation:

To calculate the base side which is b we use the trigonometric identity called cosine.

[tex]cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft[/tex]

Since we the answer to the nearest whole number it would be b = 363 ft.

I do not know what to do!! Please help me with this assignment!

Answers

Answer:

Equation of the line is y = x + 1

Standard Form: x - y = 1

Step-by-step explanation:

Ax + By = C

y = x + 1

-x + y = 1 ("A" must be positive)

x - y = -1

Use the given information to prove that triangle ABC is similar to DEC

Answers

Answer:

sdfghj

Step-by-step explanation:

can someone help me please !!!!!!

Answers

Answer: From top to bottom of the chart: -13, -6, 1, 8, 15

Step-by-step explanation:

You can solve the equation by putting the numbers in the graph (under the letter x) into the equation. Meaning when it says "-2", you can write 7(-2)+1, or 7 times negative 2 minus one, which equals -13. Do the same thing with the rest :]

Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees

Answers

Answer:

(-3,-4)

Step-by-step explanation:

Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes

(-x,-y)

2. A recipe includes 8 cups of flour and
į cup of sugar. Write the ratio of the
amount of flour to the amount of
sugar as a fraction in simplest form.

Answers

Answer:

0.25:2

Step-by-step explanation:

_____ compare one quantity to 100.

A. Factors
B. Variables
C. Percents
D. Interest rates

Answers

Answer:

c

Step-by-step explanation:

Ramon earns $1,610 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

yes 24

Step-by-step explanation:

8% as a fraction in its simplest form

Answers

Answer:

8/100 Simplified is 2/25 in it's simplest form!

Step-by-step explanation:

Hope this helps! :)

Have a great day!

The number 8 % as a fraction in the simplest from is 2/25

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the value of A is = 8 %

So , the equation will be

The value of A = 8 %

Now , the value 8 percentage can be written as a fraction of 100

So , the value of A will be

The value of A = 8/100

Now , on dividing the numerator and denominator by 4 , we get

The value of A = 2 / 25

So , the value of A in the simplest form of the number A is 2/25

Hence , The number 8 % as a fraction in the simplest from is 2/25

To learn more about equations click :

https://brainly.com/question/19297665

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Someone help me pls :/ asap :(

Answers

Answer: 6, -1

Step-by-step explanation:

1. Look at both of the lines. (Blue and purple)

2. Which dot connects to both lines? (The dot which is green)

3. Since they’re together, that’s the answer.

4. Find the coordinates.

5. Go to “0” and go left until you hit the green dot area. (6 as X axis)

6. Go down to the green dot to find the Y coordinate. (-1 as Y axis)

7. You got the answer (6, -1) !

Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last month, how many tablespoons did she use this month?

Answers

Answer:

180 tablespoons

Step-by-step explanation:

240×.25=60

240-60=180

Answer:

180

Step-by-step explanation:

When surveyed 5 out of 32 students said they ride their bikes to school. Predict how many students in a school of 800 ride their bikes to school.

And please show your work!

Answers

Answer:

probably about 60 students ride their bikes to school.

Step-by-step explanation:

divide it and estimate. dont hate me if im wrong.

Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.​

Answers

Answer:

24,12

Step-by-step explanation:

suppose,

x+y=36

x=2y

2y+y=36

y=12

x=24

Use the diagram of the volcanic island for problems 16-17
16.Use a negative integer to represent the​ depth, in​ feet, of the sea floor.
17.The weight of the volcano depresses the sea floor another 24,300 feet down. What is the total height of the​ volcano?

please help!!

Answers

Answer:

28,000 Ft

Step-by-step explanation:

Answer: 16 is -15700  and 17 28,000

Step-by-step explanation:

Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, "I have only eaten 3/8 of the pizza. How many slices where in the pizza when it was whole

Answers

Answer:

16 pieces of pizza when the pizza was whole.

Step-by-step explanation:

You know that 6 pieces are equal to 3/8 of the pizza.

Let x represent the total number of pieces and write an equation:

3

-- times x = 6

8

Multiply each side of the equation by 8:

8 times 3

            -- x = 8 times 6

            8

3x = 48

Divide each side of the equation by 3:

3x     48

---  =  ---

3        3

x = 16

3x + 2 = 11 what is x?

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 2 = 11

      -2     -2

3x = 9

÷3    ÷3

x = 3

Answer:

x=3

Step-by-step explanation:

3x+2=11

3x=11-2

3x=9

x=9/3

x=3

Find the measure of each angle indicated. HELPPP PLEASE

Answers

Answer:

2

Step-by-step explanation:

Answer:

they equal 360 so add all and minus that by 360 like for example its 160 total minus 360-160

Step-by-step explanation:

Jasmine and Scott want to chart their reading rates to see how much they improve each quarter. Below are the results of their first quarter tests. Write their results as unit rates. Jasmine can read 120 words per minute. 2. It takes Scott one minute to read 130 words.

Answers

Answer:

a) 120 words per minute

b) 130 words per minute

Step-by-step explanation:

A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.

a) Jasmine can read 120 words per minute

Jasmine reading unit rate = total number of words read / time taken

Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute

b) It takes Scott one minute to read 130 words

Scott reading unit rate = total number of words read / time taken

Scott reading unit rate = 130 words / 1 minute = 130 words per minute

Helppppp plsssssss help

Answers

The answer is C. P=h + 11

LINEAR EQUATIONS!
7(6-y)=-3(y-2)

Answers

Answer:

y=9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variables

move variable to left side and change its sign  

42-7y+3y=6    collect like terms

-7y +3y=6-42

-4y=6-42

-4y=-36     divide both sides of the equation by -4

y=9

hope that helps :)

In 25 minutes Jezebel can run 10 laps around the track. Part I) Determine the unit rate for the number of laps she can run per minute. Part II) Find the constant of proportionality for this situation.

Answers

Answer: See explanation

Step-by-step explanation:

a. Determine the unit rate for the number of laps she can run per minute.

This will be calculated as the number of minutes used divided by the number of laps which will be:

= 25 / 10

= 2.5 minutes per lap.

b. Find the constant of proportionality for this situation.

We will use the formula y = kx

where y = 25, x = 10, k = constant of proportionality.

Therefore, y = kx

25 = 10k

k = 25/10

k = 2.5

The constant of proportionality is 2.5

I need help, can somebody plz help

Answers

Answer:

c

Step-by-step explanation:

please help
Greater than
Less than
or Equal to

Answers

I think equally tooo

(x - 4)(2x - 1)(3x - 2) = 0


What is the product of all values of x that satisfy the equation above?

Answers

Answer:

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

2

x

1

=

0

3

x

+

2

=

0

Set the first factor equal to  

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to  

0

and solve.

Tap for more steps...

x

=

2

3

The final solution is all the values that make  

(

2

x

1

)

(

3

x

+

2

)

=

0

true.

x

=

1

2

,

2

3

The result can be shown in multiple forms.

Exact Form:

x

=

1

2

,

2

3

Decimal Form:

x

=

0.5

,

0.

¯

6

The product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

What is algebraic expression?

An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -

2x + 3y + z

4x + 5

Given is the algebraic expression as -

(x - 4)(2x - 1)(3x - 2)

The given expression is -

(x - 4)(2x - 1)(3x - 2) = 0

We can write -

(x - 4) = 0   or   (2x - 1) = 0   or   (3x - 2) = 0

x = 4   or   x = 1/2   or   x = 2/3

The product of all values of {x} that satisfy the equation above is -

4 x 1/2 x 2/3

4/3

Therefore, the product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

To solve more questions on simplifying expressions , visit the link below

https://brainly.com/question/403991

#SPJ2

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