Solve the following equation systems using the elimintation mathod
2y - x = 8
-3x + 2y = -12

Answers

Answer 1

original equation

[tex]2y-x=8\\-3x+2y=-12\\[/tex]

line up your terms

[tex]2y-x=8\\\\2y-3x=-12[/tex]

since they are both positive, subtract

[tex]2x=20[/tex]

solve for x

[tex]x=10[/tex]

substitute into one of the equations and solve for y

[tex]2y-(10)=8\\\\2y=18\\\\y=9[/tex]

verify

[tex]2(9)-(10)=8\\\\18-10=9\\\\8=8\\\\LS=RS[/tex]

[tex]-3(10)+2(9)=-12\\\\-30+18=-12\\\\-12=-12\\\\LS=RS[/tex]

Answer 2
These are the steps following up to the final answer
Solve The Following Equation Systems Using The Elimintation Mathod2y - X = 8-3x + 2y = -12

Related Questions

I don't understand this please help

Answers

Answer:

$9.10

Step-by-step explanation:

you just need to multiply 6.50 by 2 and then take 30% off of it which is 9.10

$9.10 do you need to know explanation?

Find and interpret the mean absolute deviation of the data.

Answers

Answer:

The mean absolute deviation is 4

Interpertation: The average distance between each data value and the mean is 4 which is the variation in the data set so you can understand how "spread out" each data point is from each other

Step-by-step explanation:

The mean absolute deviation is a measure of how much a data set varies.

Step 1: Compute the mean

mean = the sum of all the terms / number of terms

mean = 94 + 86 + 95 + 99 + 88 + 90 / 6

        = 552 / 6

        = 92

The mean is 92

Step 2: Finding the absolute deviation

You would take each number in the data set and subtract it from the mean, take the absolute value. After you take the sum of the absolute data values

|data set #1 - mean| + |data set #2 - mean| + ... + |data set #6 - mean|

= |94 - 92| + |86 - 92| + |95 - 92| + |99 - 92| + |88 - 92| + |90 - 92|

= |2| + |- 6| + |3| + |7| + |- 4| + |- 2|

= 2 + 6 + 3 + 7 + 4 + 2

= 24

To find the mean absolute deviation you divided the sum by total number of terms...

24/6 = 4

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set (which was step 1)

Let me know if you have any questions !

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10. Find the circumference of the circle. Use 3.14 for pi. Round to the nearest unit.


53 cm
227 cm
20 cm
27 cm
and
9. Find the area of the parallelogram with a base of 471.5 cm and height of 21.3 cm.
492.8 cm2
10,042.95 cm2
20,085.9 cm2
985.6 cm2
ty

Answers

Answer:

Step-by-step explanation:

To find the circumference of a circle, we use the formula:

Circumference = 2 * π * radius

Let's calculate the circumferences for the given options

1. Circumference = 2 * 3.14 * 53 ≈ 333.64 cm

2. Circumference = 2 * 3.14 * 227 ≈ 1428.28 cm

3. Circumference = 2 * 3.14 * 20 ≈ 125.6 cm

4. Circumference = 2 * 3.14 * 27 ≈ 169.56 cm

now, rounding each value to the nearest unit , we get

1. Circumference ≈ 334 cm

2. Circumference ≈ 1428 cm

3. Circumference ≈ 126 cm

4. Circumference ≈ 170 cm

This figure represents a large storage container that will be built out of a new durable material. The storage company needs 8 of these containers.

How much of the new material is needed to build all 8 containers?

Enter your answer in the box.

Answers

Answer:

1872 ft.²

Step-by-step explanation:

First lets figure out all of the easy shapes:

The bottom one: 8 * 7 = 56

The one on the left: 5 * 8 = 40

The one of top: 8 * 3 = 24

The slanted rectangle: 5 * 8 = 40

The small rectangle below that : 2 * 8 = 16

Now we just have the polygon facing toward us. It can be broken up into 2 parts:

The lower half: 2 * 7 = 14

Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:

A = ((a + b) / 2) * h

What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:

(3 + 7) / 2 = 5 * 3 = 15

15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:

14 + 15 = 29

Then do the same again for the other identical figure

14 + 15 = 29

Now we have all the areas of our shapes. Let's add them up:

56 + 40 + 24 + 40 + 16 + 29 + 29 = 234

234 is the total surface area of the box. Since there are 8 boxes, multiply this by 8 to get your final answer:

234 * 8 = 1872 ft.²

Don't forget to include units!

The solution is : 1872 ft.² of the new material is needed to build all 8 containers.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

First lets figure out all of the easy shapes:

The bottom one: 8 * 7 = 56

The one on the left: 5 * 8 = 40

The one of top: 8 * 3 = 24

The slanted rectangle: 5 * 8 = 40

The small rectangle below that : 2 * 8 = 16

Now we just have the polygon facing toward us. It can be broken up into 2 parts:

The lower half: 2 * 7 = 14

Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:

A = ((a + b) / 2) * h

What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:

(3 + 7) / 2 = 5 * 3 = 15

15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:

14 + 15 = 29

Then do the same again for the other identical figure

14 + 15 = 29

Now we have all the areas of our shapes. Let's add them up:

56 + 40 + 24 + 40 + 16 + 29 + 29 = 234

234 is the total surface area of the box.

Since there are 8 boxes, multiply this by 8 to get your final answer:

234 * 8 = 1872 ft.²

To learn more on Area click:

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Please help mE! BRAINLIESTTTTT

Answers

Answer:

Try this formula: length x width x height then you will find the answe. Hope this helps!  

Answer:

189

Step-by-step explanation:

volume = length × width × height

volume = 9 in. × 7 in. × 3 in.

volume = 189 in.³

A sector with a central angle measure of 200 degrees has a radius of 9cm

Answers

Answer:

B) [tex]45\pi cm^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{\pi r^{2}(central. Angle) }{360} =\frac{\pi (9)^{2}(200) }{360} =\frac{\pi (81)(200)}{360}=45\pi cm^{2}[/tex]

Hope this helps

What is the absolute value of -7?

Answers

7 because it's the opposite of -7 hope it helped

Answer:

|7|

Step-by-step explanation: Hopefully that is the correct answer and give brainliest to the other people that answer first.

this is 6th grade math
would be happy if you helped me
i need a step-by-step explanation to help me later on !

Answers

Answer: 72

Step-by-step explanation:

I counted one of the sides then took all of the answers and divided it by 12

Answer: 70

Step-by-step explanation: so first you cout all of the whole squares and then you add up all the portions of squares. hope this helps/ let me know if wrong

Please Help Me On This (Picture Below)

Answers

Answer:

gamma

Step-by-step explanation:

gamma step by step explanation

Estimate the area of the circle. Use 3.14 or 22/7 for π.
explain pls and Thank you

Answers

Answer: 616 cm^2

Step-by-Step Explanation:

Diameter = 28 cm
Radius (r) = 28/2 = 14 cm
Area = πr^2

Therefore,
= πr^2
= π * r^2
= 22/7 * 14 * 14
= 22 * 2 * 14
= 616

Area = 616 cm^2
And with the pi of 3.14 you would get 615.44

Because a=pi r^2 a=3.14 14^2 14 squared equals 196 and 196×3.14 equals 615.44

For items that begin at rest, the distance traveled can be calculated by d=1/2at^2. The acceleration is represented by a and time by t. Solve the equation for the acceleration

Answers

(d)istance = 1/2 (a)cceleration x (t)ime^ 2nd power.

I don’t know the equation, but that’s how to solve this question. Just substitute the numbers into the equation above and you should get it!

Which statement is true?

Answers

Answer: H- The sum of any number and its opposite is 0

Step-by-step explanation:

Answer:

the answer is F

Step-by-step explanation:

because the absolute value of 32 is larger

you imagine 32+9= 41 yeah?

now imagine -32+4=-28

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

It’s the last one b=50v

Step-by-step explanation:

Answer:

v = 50b

Step-by-step explanation:

The only other answer that could be correct is b = 50v. It is wrong because it's saying the number of bottles equals 50 times the number of vitamins, which doesn't make sense. v = 50b makes sense because it's saying the number of vitamins are 50 times the amount of bottles.

Jo has a rectangular flower bed in her garden. She wants to put an edging strip all the way around the flower bed. To work out the total length of edging strip needed she must add the length and width of the flower bed together.
*
5 points
A.True
B.False

Answers

True because you need to find the total length
the answer it is true

Mary surveyed people that were standing in a line to vote in an election. One of her questions was “How old are you?” The stem and leaf plot shows the results:


What is the mean of this stem and leaf plot? Show your work.

Answers

Answer:

Mean is 43.8

Step-by-step explanation:

add all of the numbers to get 1314. then divide by 30, the amount of numbers shown on the plot. Once divided, you'll get 43.8

50 POINTS
A pair of equations is shown below:

y = 7x − 8
y = 5x − 2

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer

Answers

Answer:

x = 3

(3, 13)

Step-by-step explanation:

Given equations:

y = 7x − 8y = 5x − 2

Part A

Solve by substitution:

⇒ y = y

⇒ 7x - 8 = 5x - 2

Subtract 5x from both sides:

⇒ 7x - 8 - 5x = 5x - 2 - 5x

⇒ 2x - 8 = - 2

Add 8 to both sides:

⇒ 2x - 8 + 8 = - 2 + 8

⇒ 2x = 6

Divide both sides by 2:

⇒ 2x ÷ 2 = 6 ÷ 2

x = 3

Part B

To find the y-value of the point of intersection, substitute the found value of x (from part A) into one of the equations:

⇒ y = 7(3) - 8

⇒ y = 21 - 8

⇒ y = 13

Therefore, the point at which the lines intersect is (3, 13)

(3, 13) where x is 3 and y is 13

20 POINTS PLEASE HELP Determine whether each figure has rotational symmetry, line symmetry, both, or neither.

Answers

1-rotational
2-rotational
3-rotational
4-neither

(I’m like 99% sure)
1. Both
2. Line
3. Line
4. Neither

PLEASE HELP ME I WILL GIE BRAINLYEST

Answers

Answer:

the first box

fourth box

fifth box and last box

Step-by-step explanation:

2. Select the properties that both rectangles and parallelograms always share.
A 4 right angles
B 4 sides of equal length
C 2 pairs of parallel sides
D 2 pairs of sides with equal length
E 2 acute angles and 2 obtuse angles

Answers

Answer:

option C and D are correct.

Step-by-step explanation:

A rectangle and a parallelogram has two pairs of parallel sides

A rectangle and a parallelogram also has two pairs of sides with equal lenght

PLEASE HELP ME I WILL GOVE BRAINLYEST

Answers

Question, do you need the angles? If it’s the angles use a protractor and measure.

An angle measures 63.2° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

By selling a watch in Rs 150 and Rs 200, loss and profit are seen respectively. If the loss and profit are equal, find its cost price.

Help plsssss i only have 15 min

Answers

Answer:

F. 1080

Step-by-step explanation:

Just like any shape, we get to do base x height! If you haven't located the base yet it's the right triangles. So first we have to find the area of the triangle and then multiply by the height (20). Lets find the area of the triangle first. To get the area you do (length x width)/2. 9*12/2=54. Now 54*20=1080

Help me please!??!!!!!!!!!!!!!!!!

Answers

Answer:

51

Step-by-step explanation:

x+14=65

65-14=x

x=51

She used 51 inches of wire

Which represents exponential decay

Answers

Answer:

A represents exponential decay since it's the only answer with an exponent greater than 1.

A simple example is the function f(x)=2x. is an example of exponential decay. It gets rapidly smaller as x increases, as illustrated by its graph. In the exponential growth of f(x), the function doubles every time you add one to its input x.

Identify the graph that represents the solution set to Inequality. Place the unused choices at the bottom.

Answers

The inequalities (x≥-13)\ ,(x ≤25)  ,(x < 85) ,(x > -65) ,( x > 180) in the graph.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Here we have the different graphs which shows the inequality and the some inequaliies are not shown in the graph.

The inequality not shown in the graph are:-

(x≥-13)

(x ≤25)

(x < 85)

(x > -65) ,

( x > 180)

To know more about inequality follow

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Please help they are separate questions please help me with this!

Answers

Answer: Mary makes $1160, Steven makes $142.50

Step-by-step explanation:

Facts

MARY

8% commision on everything she sells

She sells a car for $14,500

The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500

8% of 14,500= 0.08x14,500= 1160

Therefore, Mary makes $1,160 in commision.

STEVEN

Facts

He makes 15% in commision for the supplies he sells

He sells $950 in supplies

Money made =?

15% of 950=0.15x950=$142.50

pls answer quick i will mark brainliest

Answers

Answer:I’m pretty sure it’s 95 I’m sorry if that’s wrong

Step-by-step explanation:

The answer is 95. It looks equal on the both side meaning x is the same as the one across from it. Meaning it’s 95.

Help me with this please

Answers

252 cm ;) good luck and I hope you pass
252 cm I hope you pass

so i need help with 16,18,20 so help me with it

Answers

Convert the mixed numbers, then find the lowest common denominator and combine.
15. 83/24 -> 3 11/24
16. 1
17. 5 1/2
18. 3 1/3
19. 4 1/2
20. 11 1/28

Describe the likelihood of the next elk caught being unmarked.

Answers

Using it's concept, it is found that there is a 0.96 = 96% probability of the next elk caught being unmarked.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 5625 - 225 = 5500 elks out of a total of 5625 are unmarked, hence the probability is given by:

p = 5500/5625 = 0.96.

More can be learned about probabilities at https://brainly.com/question/14398287

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