Elimination 5x -6y = -17. -3x -5y = -7

Answers

Answer 1

Answer:

x = -1 and y = 2

Step-by-step explanation:

3(5x - 6y = -17)

5(-3x - 5y = -7)

-----------------------      Add the two equations together

-43y = -86

y = 2

5x - 6(2) = -17          Substitute y with 2 in the first equation to get the value of x

x = -1

Answer 2

Answer:

x = -1

y = 2

Step-by-step explanation:

5x - 6y = -17

-3x - 5y = -7

I will eliminate variable x first:

Multiply the first equation by 3

15x - 18y = -51

Multiply the second equation by 5

-15x - 25y = -35

Now subtract the second equation from the first equation:

15x - 18y = -51

-15x - 25y = -35

0x - 43y = -86

-43y = -86

Divide both sides by -43

Negative + Negative = Positive

y = 2

Now eliminate variable y:

Multiply the first equation by 5

25x - 30y = -85

Multiply the second equation by -6 (Negative switches all of the signs)

18x + 30y = 42

43x + 0y = -43

43x = -43

Divide both sides by 43

x = -1

Check work:

5(-1) - 6(2) = -17

-5 - 12 = -17

-17 = -17

Correct

-3(-1) - 5(2) = -7

3 - 10 = -7

-7 = -7

Correct


Related Questions

Allison and Sean were splitting nachos. If Allison ate 5/12 of the nachos and Sean ate 1/5 of the nachos, what fraction of the nachos did they eat together?

Answers

Answer:

thank for points

Step-by-step explanation:

Answer:

37/60

Step-by-step explanation:

Because 5/12+1/5=37/60

Can someone help me with this question

Answers

Answer: 85

Step-by-step explanation:

The circumference of a circle measures 360 degrees, so arc FD measures 170 degrees.

By the inscribed angle theorem, angle G measures 85 degrees.

Madison will use a 1/5 gallon pitcher to fill an empty 7/8 gallon jug for her lemonade stand. How much lemonade will she need to fill the jug?

1.Between 2 and 3
2.Between 3 and 4
3.Between 4 and 5
4.Between 5 and 6

Answers

When you divide 7/8 by 1/5, which is equal to 7/8 • 5/1 which you get 35/8 or 4 3/8, answer is C

Help!! I am no good in math..

Answers

Answer:

80/100 is 0.8

Step-by-step explanation:

sorry if I'm wrong

Can someone help me pls

Answers

Answer:

70°

Step-by-step explanation:

If arc BY is 40, angle BAY is 20.

BAC is 90.

90-20 is 70.

m<YAC=70

pleaseee!! ur help means a lot

Answers

Answer:

just use scan your question with camera. the problem is in brainly already. :)

State the domain and range of f(x)=[[x-2]]

Answers

Answer:

domain: -infinity < x <infinity or (-infinity, infinity)

range: -infinity < f(x) < infinity or (-infinity, infinity)

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!​

Answers

angle c=180-44-62=74 degrees

angle d=angle c=74 degrees

angle f=180-74-50=56 degrees

hope it helps:))

Answer:

C) 74°

D) 74°

F) 56°

Step-by-step explanation:

I assume you’re supposed to find the other three angle measurements.

C) 180-44-62=74

D) 74

F) 180-74-50=56

A reading society allows its members to request books, then pick up their books at the library or have them
delivered to their home. Here is the historical data for number of books per year for members who choose each
option.

Answers

Answer:

The shape cannot be determined since we don't know the shape of either population distribution.

Step-by-step explanation:

Answer on Khan

What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain and use the properties of the types of quadrilaterals as proofs.

Answers

Answer:

The quadrilateral ABCD is a square.

Step-by-step explanation:

According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that [tex]x = 7[/tex], [tex]AB = 4\cdot x - 2[/tex], [tex]BC = 2\cdot x + 12[/tex], [tex]DC = 3\cdot x +5[/tex], [tex]AD = 6\cdot x -16[/tex], [tex]AC = 4\cdot x + 12[/tex] and [tex]DB = 8\cdot x -10[/tex], the lengths of each line segment are respectively:

Sides

[tex]AB = 4\cdot (7) -2[/tex]

[tex]AB = 26[/tex]

[tex]BC = 2\cdot (7) +12[/tex]

[tex]BC = 26[/tex]

[tex]DC = 3\cdot (7) +5[/tex]

[tex]DC = 26[/tex]

[tex]AD = 6\cdot (7) -16[/tex]

[tex]AD = 26[/tex]

Diagonals

[tex]AC = 4\cdot (7) +12[/tex]

[tex]AC = 40[/tex]

[tex]DB = 8\cdot (7) - 10[/tex]

[tex]DB = 40[/tex]

This information indicates that this quadrilateral is a square because of these characteristics:

1) All sides have the same length.

2) The ratio of any diagonal to any side is [tex]\sqrt{2}[/tex].

i will give brainliest if you answer this simple question.
if you have 5 candy bars in a bowl and take out 3 how many do you have now?

Answers

Answer:

2

Step-by-step explanation:

5-3=2 you subtract to get the answer

Answer:

2 in the bowl and 3 in the hand

Step-by-step explanation:

The final answer could be anywhere between 2 and 5 depending on what you did with the candy once it was taken out of the bowl. But, the most obvious answer would be 2 left and 3 technicallly gone

67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.​

Answers

67,124 x 3/4 = 50,343

The product is less than 67,124 because three fourths is less than one whole. One whole quantity of 67,124.

what is the slope of any line parallel to the line 9x+4y=7?​

Answers

Answer:

-9/4

Step-by-step explanation:

First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.

-9/4!!!!!!!!!!!!!!!!


Commute times in the U.S. are heavily skewed to the right. We select a
Type numbers in the boxes.
random sample of 220 people from the 2000 U.S. Census who reported a non- 10 points
zero commute time.
In this sample the mean commute time is 28.3 minutes with a standard deviation of 19.2 minutes.
Can we conclude from this data that the mean commute time in the U.S. is less than half an hour?
Conduct a hypothesis test at the 5% level of significance.
What is the p-value for this hypothesis test?
Your answer should be rounded to 4 decimal places.

Answers

I have to do a little more than I thought

A bag contains hair ribbons for a spirit rally. The bag contains 18 black ribbons and 2 green ribbons. Lila selects
a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability
that Lila selects a black ribbon and Jessica selects a green ribbon? Express your answer as a fraction in
simplest form

Answers

1/18 1/2 or 2/18 2/2

Answer:

9/95

Step-by-step explanation:

just had an exam on it

hope this helps:)

hillary paid 8$ for 12 dounts. what is the approximate unit cost for each donut

Answers

Answer:

Step-by-step explanation:

You have to multiply 8 times 12 and that is 96

Answer:

$1.50

Step-by-step explanation:

12÷8

Which problem can be solved with 56 + 7 = 8?
Chloe has 56 pennies. Her brother has 7 times as
many pennies as she has, How many pennies does
her brother have?
Chloe has 56 pennies. She finds 7 more pennies.
How many pennies does she have now?
Chloe has 56 pennies. She puts the pennies into
equal stacks of 7. How many stacks does she make?
Chloe has 56 pennies. She gives away 7 pennies.
How many pennies does she have left?

Answers

Answer:

she puts the pennies into equal stacks

Step-by-step explanation:

I think you meant 56 DIVIDED by 7=8, not 56 PLUS 7=8

Answer:

C.Chloe has 56 pennies. She puts the pennies intoequal stacks of 7. How many stacks does she make?

Step-by-step explanation:

Help me please!!!! I really need this answer quickly

Answers

Answer:

X = 22

Step-by-step explanation:

This is a right triangle which means the angles add up to 90° total. So if 1 side is 15 and another side is 53 then 15 + 53 = 68 and 90 - 68 = 22 so X = 22 which is the missing side.

PLEASE HELP AND IF ITS WORNG I WILL BE UPSET BECAUSE THIS QUESTION IS ABOUT WILL I DIE OR LIVE

Answers

Answer:

B/2

Step-by-step explanation:

Jeez better not get this wrong... anyway, to start off the total is 19 books. Adding 5 then adding 3, She returned 8 books to the 19 she checked out. Uhhhh no clear answer.

NOT the first one cause 8 isn't the total. Don't think it would be the last one cause that's no fun. So it's either the second or the third one. The third one also makes no sense cause it only includes the returns from yesterday. I'm going with the second one

Answer:

D. none of these

Step-by-step explanation:

Proper equation would be:

1 - (5/19 + 3/19) = 11/19

This doesn't match any answer options, so the correct option is the last one

A portfolio is efficient if which of the following is true?

Answers

Answer:

In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.

Does anyone know what the answer

Answers

122-71=51
Angle DBC is 51 degrees
Good luck

What symmetry is this shape?part a​

a. Reflection symmetry
b. Rotational symmetry
c. Translation symmetry
d. This figure is not symmetrical

Answers

Answer:

b. Rotational symmetry

Step-by-step explanation:

Hope it helps you in your learning process

plz help me I'm timed!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

Answer is C. 9

Step-by-step explanation:

It is basically the same thing as 12-3 and that's equal to 9. It's 9 my man

find the missing side of each triangle

Answers

Given :

• Hypotenuse (H) = 15 in

• Base (B) = 12 in

To calculate :

• Perpendicular (P) [x]

Calculation :

By using pythagoras property,

[tex] \longmapsto \sf { H^2 =B^2 + P^2 } [/tex]

[tex] \longmapsto \sf { (15)^2 =(12)^2 +(x)^2 } [/tex]

[tex] \longmapsto \sf { x^2 = (15)^2 - (12)^2 } [/tex]

[tex] \longmapsto \sf { x^2 = 225 - 144 } [/tex]

[tex] \longmapsto \sf { x^2 = 81 } [/tex]

[tex] \longmapsto \sf { x = \sqrt{81} } [/tex]

[tex] \longmapsto \sf \red { x = 9 \: in} [/tex]

So, the value of x (perpendicular) is 9 in.

PLEASE HELPPP ILL GIVE BRAINLYIST IF SOMEONE HELPS!

Answers

Answer:

7

Step-by-step explanation:

area of parallelogram = l* h

91 = 13 * h

91/13 = h = 7 cm

Answer:

I believe it is 7

Step-by-step explanation:

area is length times width, so if you do opposite equations, and divide 91 by 13, that will be your answer. 7.

I need help its urgent ASAP will mark you the brainliest

Answers

9514 1404 393

Answer:

  BE = 266 2/3

  PE = 233 1/3

Step-by-step explanation:

Part A: The figure has 3 triangles, all similar. In order of shortest-to-longest side lengths, they are ...

  ΔBPE ~ ΔBCG ~ ΔGRE

__

Part B: They can be declared similar by the AA postulate. For BPE and BCG, the angles at B are vertical angles, so are congruent. The angles at C and G are alternate interior angles, so are congruent.

For triangles BPE and GRE, angle E is congruent to itself, The angles at R and P are corresponding angles, so are congruent.

(Remember, GRPC is a parallelogram, so any line in the figure is a transversal crossing parallel lines.)

__

Part C:

From parts A and B, we know ΔBPE ~ ΔBCG. Corresponding sides are proportional:

  BP/BC = BE/BG = PE/CG

  200/300 = BE/400 = PE/350

  BE = (400)(2/3) = 266 2/3

  PE = (350)(2/3) = 233 1/3

the sum of two prime numbers is 30 and their difference is a perfect square less than 10. Determine the two prime numbers​

Answers

Answer:

13 and 17

Step-by-step explanation:

Data from a 2006 GSS subsample show that the mean number of children per respondent was 1.87, with a standard deviation of 1.64. A total of 1,494 people answered this question. Estimate the population mean number of children per adult using a 90% confidence interval. We our 90% confident that the population mean number of children per adult is between to . Please round to the nearest tenth For example, rounding 0.843 to the nearest tenth would give 0.8.

Answers

Answer:

We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.

Step-by-step explanation:

The confidence interval for population mean is given by:-

[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where n= sample size, [tex]\overline{x}[/tex] = sample mean, z* = critical value for confidence level, [tex]\sigma[/tex]= standard deviation.

z*  for 90% confidence level = 1.645

As per given, the required confidence interval is

[tex]1.87\pm (1.645)\dfrac{1.64}{\sqrt{1494}}\\\\\approx1.87\pm0.070\\\\=(1.87-0.07,\ 1.87+0.07)\\\\=(1.8, 1.94)[/tex]

Hence, We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.

What is equivalent to x+y+x+y+3(y+5)?

Answers

Answer:

this simplified would be 2x+5y+15

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!!!!!!!!!

Answers

Answer:

11,401 I think!!! if not please say

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