X+2y=10
X+y=6
Using eliminations to solve each system

Answers

Answer 1

Answer:

x= 2

y=4

Just subtract by like numbers.

Answer 2

x + 2y = 10

x + y = 6

Both x's in the equation are equal. We want the x of the last equation to be negative so we can eliminate.

x + 2y = 10

-x - y = -6

Subtract.

y = 4

Now that we figured out y, we have to figure out x. Substitute y into one on the equations.

x + 4 = 6

x = 2

Now we figured out x. The answer is (2,4). I hope this helps! Let me know if I got anything wrong or if you need any more help with this problem.


Related Questions

A laptop has a price $300. The store is giving a 15% discount for the laptop. How much will the laptop cost?

Answers

15% off of 300 would be 255

please help me or dont

Answers

Answer:

pentegan easy

Step-by-step explanation:

The first term of the sequence is -9 and the common ratio is -2

Answers

Answer:

[tex]2nd \: term = - 9 + ( - 2) \\ = - 11 \\ 3rd \: term = - 11 +( - 2) \\ = - 13 \\ 4th \: term = - 13 + ( - 2) \\ = - 15 \\ \\ ..........[/tex]

Number seven plz helppp

Answers

6^4 is the same as 6x6x6x6
The answer is 1,296

Answer:

1,296

Step-by-step explanation:

I multiplied 6 four times.

In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than twice the number
sent. How many were sent and how many were received each day?

Answers

Answer:

Number of sent mail = 36

Number of received mail = 75

Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111      Eqn 1

y = 2x + 3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

3x = 108

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{108}{3}\\x = 36[/tex]

Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

Solve for u. m/u^2+r=−k−y

Answers

9514 1404 393

Answer:

  u = ±√(-m/(k+r+y))

Step-by-step explanation:

Subtract r, rearrange, then take the square root.

  [tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]

Answer: +/- sqrt(m/-k-y-r)

Step-by-step explanation:

using pythagoras theorem if a = 3, b = 4 what is c?

3
4
5
6
3.6

Answers

Answer:

5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]

Addison measured a house and its lot and made a scale drawing, The scale she used was
1 inch : 3 feet. The backyard is 10 inches in the drawing, How long is the actual yard?

Answers

Answer:

I think it's

10 X 3 = 30 feet

Graph y-4=2x and identify
the slope and y-intercept.

Answers

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro

Answers

Answer:

Absolute error = $25

Step-by-step explanation:

Given that:

Amount spent by John on shopping trip = $75

Estimated amount to spent on shopping trip = $100

Absolute error = Approximate value - Exact value

Here,

Approximate value = $100

Exact value = $75

Absolute error = 100 - 75

Absolute error = $25

Percentage = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]

Percentage = [tex]\frac{25}{75}*100[/tex]

Percentage = 33.33%

Hence,

Absolute error = $25

what is the product of 2 4/7 × 13/12​

Answers

Answer:

2 11/14

Step-by-step explanation:

First make both of them improper fractions.

therefore,

2 4/7 = 18/7

now simplify.

18/7 × 13/12

18 and 12 get cancelled off as they're multiples of 3 and 6

therefore,

3/7 × 13/2

3× 13 = 39

7×2 = 14

39/14

now make it a proper fraction

2 11/14//

2.3 - 7x + 5.1 - 3x
Please help I have 5 minutes

Answers

Answer:

2.3+5.1-7x-3x

7.4-10x

please solve for b

a=b/c

Answers

Answer:

b = ac

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

b= ac

Solve for b by simplifying both sides of the equation, then isolating the variable.

What is a function?

A)Every x-value has more than one y-value.

B) Every x-value has exactly one y-value.

Answers

Answer:

A

Step-by-step explanation:

If GEOM is a square, find m2GQE.

Answers

Answer:

90 is correct answer of it question

Need Help with this please!!

Answers

Answer:

A is 85 degrees

I need to write an equation for the triangle and solve for x

Answers

You know that the sum of angles of line CX has to be 180 degrees. Therefore, because you know angle EDX equals 134 degrees, and 180-134= 46, you know that angle CDE equals 46 degrees. Because you know the 3 interior angles of a triangle equals 180 degrees, if you subtract 180 - 46 - 105 = 2x-13. This simplified is 29= 2x-13. Further simplified, 42=2x. Therefore x=21 degrees.

Allison invest $5000 in CD at an interest rate of 2%. What will her total be worth at the end of 3 years?

Answers

Answer:How much interest will I earn in a CD? It depends on the interest rate the bank offers and how long the CD's term is. Here's an example: $5,000 invested in a 3-year CD with a 0.80% APY would earn about $120 by the end of the term.

Step-by-step explanation:

What is the simplified form of the expression(x + 6)(7x − 1)?

8x^2 + 5

7x^2 + 41x − 6

7x^2 + 43x − 6

7x^2 − 6

Answers

Answer:c

Step-by-step explanation:

Answer:

B: 7x2 + 41x − 6

Step-by-step explanation:

Use the FOIL method to multiply the two expressions.

(First Outer Inner Last)

Then, combine like terms.

(x + 6)(7x − 1) = (x)(7x) + (x)(-1) + (6)(7x) + (6)(-1)

 = 7x2 − x + 42x − 6

 = 7x2 + 41x − 6

Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?

Answers

Answer:

The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.

Step-by-step explanation:

The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.

The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero.  Let's do it:

So first the area:

2025 = wl

l = 2025 / w

Now the sides:

[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]

Then we can take its derivative with respect to w

[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]

Now we can set the derivative to zero, and solve for w:

[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]

So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.

Which of the following expressions will result in a product less than zero?
А
6.4 x (-3.5)
B
-7.1 x (2.5)
С
-2.3 (-1.9)
D
9.2 x (4.0)

Answers

Answer:

All of the except for D and C

Step-by-step explanation:

A negative times a positive is always negative

Answer:

A,B

Step-by-step explanation:

can someone please help me?

Answers

First off, a triangle will be 180 all together, so, x + 59 + x + 51 = 180, 59 + 51 is 110, x + x is 2x, 180 - 110 is 70 so you have 2x = 70, now divide both sides by two, The left will cancel out to x and the other will be 35, x = 35, now you are looking for angle a, in order to find this, you have to plug in your X, so 51+35 is 86, that should be your answer, I hope this helps!

what is the greatest common factor of 54 76 and 114

Answers

Answer:

2

Step-by-step explanation:

Prime factors of 56 = 2^3 . 7

Prime factors of 76 = 2^2 . 19

Prime factors of 114 = 2 . 3 . 19

Prime factors of 124 = 2^2 . 31

Multiply and completely simplify: (4x+6) (x-1) PLEASE HELP NOW

Answers

Answer:

-2.333333333

Step-by-step explanation:

Heather performs an experiment to measure the acceleration of an object due to earths gravitational and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second.

Answers

The percentage error in the acceleration is 11.3%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The actual acceleration of the object is 9.80 meters per second.

The acceleration of an object is 10.91 meters per second.

Now,

Percentage error.

= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100

= (10.91 - 9.80) / 9.80 x 100

= 1.11 / 9.80 x 100

= 11.33 %

Thus,

The percentage error is 11.3%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

What hazard is present in this image?

Select the best option.


A mat that has upturned edges


Hair clippings on the floor


Tool cord left out


Spills on floor

Answers

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

WILL MARK BRAINLIEST!!select the graph of x-2y<4

Answers

Answer:

Option (2) is correct.

Step-by-step explanation:

The given equation is x-2y<4.

We need to select the correct graph for this inequality.

When x = 0, y = <-2

When y=0, x<4

The attached figure shows the graph for this inequality. It means the correct option is (b).

What is the measure of angle P?

Answers

Answer:

60

Step-by-step explanation:

step 1: 180°-130°= 50

step 2: 180-110= 70

step 3: 70+50= 120

step 4: 180°-120°= 60

The. Ordered pair?

Is this a function yes or no?

Answers

Yes. It is a function I don’t know why but I know it is

work out 1/5 of 80 =

Answers

Answer:

16

Step-by-step explanation: your welcome

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