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

What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Help

Answers

Answer: 30

Step-by-step explanation:

You put the numbers from least to greatest. 27,28,28,29,29,29,30,30,30,31,31,31,33,34. Then the median would be 30 and 30. So then you would add the two numbers 30 + 30 then divide by 2. 60/2 and the answer would be 30. Hopefully that was helpful.

Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%

Answers

Answer:

C

Step-by-step explanation:

different size wedges would be the most visibly different

c is the answer hope this helps

The vertices of ABC are A(-2,4), B (-2,2), and C (-5,2). If ABC is reflected across the line y=1 to produce the image A”B”C find the coordinates of the vertex B’

Answers

The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.

Manny goes bowling.

- He has $25.00 to spend.

- He spends $4.25 to rent shoes.

- He spends $2.50 for each game he bowls.

Which inequality can Manny use to determine x, the greatest number of games he can bowl?

A. 2.5+4.25x≥25

B.4.25+2.5x≥25

C. 2.5+4.25x≤25

D. 4.25+2.5x≤25

Answers

Answer:

D

Step-by-step explanation:

D is the answer because spend satisfied value not more than 25

10 x __= 5/6 + 5/6 Solve.

Answers

Answer:

[tex]let \: that \: number \: be \: m \\ 10 \times m = \frac{5}{6} + \frac{5}{6} \\ 10m = \frac{10}{6} \\ m = \frac{10}{60} \\ m = \frac{1}{6} [/tex]

Find the total surface area. Round to the nearest hundredth if necessary.

Answers

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

State the name of the property illustrated. 5 + [7+(4)] = (5+7) + (4)

A. Communtative property of addition
B. Identity property of addiction
C. Associative property of addition

Answers

The answer is C. Associative property of addition

63°
13°
Choose the equation that best describes the image.

Answers

Answer:

13+63 if I'm not wrong......

Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?

Answers

Answer:

The final balance is $5,389.

The total compound interest is $389.

Step-by-step explanation:

someone please help me answer this!!

Answers

Answer:

4 1/10

Step-by-step explanation:

4.1

= 4 + 1/10

= 4 1/10

Hope you understand!

Can someone help me with 1 2 and 3 please

Answers

Answer:

1. vertical angles

2. 90°, complementary

3. 180°, supplementary

Answer:

1) Vertical angles

2) 90°, complementary

3) 180°, supplementary

Step-by-step explanation:

1) Intersecting lines form vertical angles.

According to the word problem, ∠APC and ∠DQB are formed by intersecting lines, meaning they are vertical angles.

2) ∠AQV is 30°, and ∠VQT is 60°.

30° + 60° = 90°. The sum of these angles is 90°.

And, complementary angles are two angles with measures that sum up to 90°.

3) ∠AQC is 150°, because 30° + 60° + 60° = 150°.

∠CQB is 30°.

And, 150° + 30° = 180°.

Supplementary angles are two angles with measures that sum up to 180°.

In a class of 50 students, 20 play hockey and 35 play football . 10 students play both hockey and football.​

Answers

You are missing the question

If the figure is reflected over the x-axis, what are the coordinates of point R?

Answers

Answer:

R' (3,-3)

Step-by-step explanation:

25, 87, 90, 25, 67
Mean:
Median:
Mode:
Range:

500,100,300,300,500,100

Mean:
Median:
Mode:
Range:

5,5,4,4,3,3,2

Mean:
Median:
Mode:
Range:

Answers

Answer:

mean number 1 25+87+90+25+67=294 294/5 58.8 question 2 500+100+300+300+500+100=1800 1800/6 =300

Answer:

Step-by-step explanation:

Mean: 289 (not sure)

Median: 90

Mode: 25

Range: 65

Mean: 1794 (still not sure)

Median: 300

Mode: 400?

Range: 400

Mean: 19

Median: 4

Mode: i dont know

Range: 3

If you know this you’re very smart!

Answers

Answer:

Its B and its not that hard because im doing that rn lol but do you need me to explain?

Step-by-step explanation:

What’s the circumference?
Use 3.14 for pi

Extra large pizza: 20in diameter

Large pizza: 16in diameter

Medium pizza: 12in diameter

Small pizza: 10in diameter

If you help me with all of them I’ll give BRAINLIEST!!!

Answers

Answer:

all the stuff written there are answers if I'm wrong tell me I'll try it out again have a good day.

A pole that is 2.5 m tall casts a shadow that is 1.07 m long. At the same time, a nearby tower casts a shadow that is
37.25 m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

The tower is 61.65 meters tall.

Step-by-step explanation:

Find the critical value t for the confidence level c= 0.98 and sample size n=7.
Click the icon to view the t-distribution table.
=(Round to the nearest thousandth as needed.)

Answers

Answer:

The critical value is T = 3.143.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.143.

The critical value is T = 3.143.

Are these triangles congruent ?

Answers

Answer:no

Step-by-step explanation:

Nope, the corresponding angles are different degrees

what equation represents a line that when if graphed, passes through the points (0, -1) and
(1, 1).

Answers

Y= 2x-1
Explanation: First, you find slope. If the first point it x-axis point is 0 and the second x-axis point is 1 then you already know the answer is over 1, so you have to figure out how many up you are going on the y-axis from -1 to 1. Which is 2, so your slope is 2/1 or just 2. Next, you find your y-intercept, which is where the line crosses the y-axis, and the easy way to find this is finding what y is equal to when x is equal to 0, in the problem you are told (0, -1) as a point, so they gave you your y-intercept right there, which is -1. Finally you right the equation in slip intercept form (y= mx+b) which is y= 2x-1

Plz help! Urgent!

Use the information in the table and choose all true statements.

Answers

Answer:

Pretty sure it's the first 3 options.

Step-by-step explanation:

Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!

China and USA have highest/lowest density. You can tell by looking at the chart.

Indias density is about 360 people/km^2

Divide India's population by the Area

=  360.22

And the last option, according to me, is wrong.

Hope it helps !! And if it doesnt, again, pls let me know :)

Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue. If there are 3 silver rocks, how many space rocks does Kenzie have?a

Answers

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

Ídek I wish I can help you sorry


Four equal sized boxes contain a
maximum of 80 books. How many
books will fit in 10 boxes?​

Answers

If four equal-sized boxes contain a maximum of 80 books, then, on average, each box contains 80/4 = 20 books.

If one box contains 20 books, then 10 boxes should fit 10 • 20 = 200 books.

In the formula, l = a + (n - 1)d make d as the subject. Find d when l = 10, a = 2, n = 5.

Answers

Answer:

d=2

Step-by-step explanation:

l=a+(n-1) d

10=2+(5-1)d

10-2=4d

8=4d

d=2...

Answer:

2

Step-by-step explanation:

I = a + (n - 1)d

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = 2


The formula of calculating the gradient of a line is

Answers

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

25 points!!!

A system of equations is shown.
2x + 2y = 24
X = 3y

What is the value of x + y?

Enter your response here: Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.​

Answers

Answer:

x+y=12

Step-by-step explanation:

First, substitute 3y for the spots with x:

2(3y) + 2y = 24

6y+ 2y = 24

8y= 24

y= 3

Then sub in 3 in the y place:

x= 3(3)

x= 9

Then plug in the x and y values in the equation:

9 + 3 =12

Good Luck!!!

plz mark me Brainliest!

Edwin is making brownies. He has m cups of flour. He realized that he needs 3/4 more flour than he currently has to make the brownies. Which expression represents the total amount of flour he needs to make the brownies? ​

Answers

Answer:

3/4 + m

Step-by-step explanation:

Answer:

3/4 + m

Step-by-step explanation:

Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i​

Answers

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)

Ricky is testing soil for a contaminant at a building site,
He'll take action to stop construction if there's strong
evidence that the soil has more than 400 parts per
million (ppm) of the contaminant. He plans on using soil
from n = 30 randomly selected locations at the building
site. His hypotheses are H, :p < 400 ppm and
H:u > 400 ppm, where u is the mean amount of the
contaminant in the soil at this site,
Suppose that in reality, H, is actually true,
Which situation below would result in the lowest
probability of a Type Il error?

Answers

The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15

What is a type II error?

It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.

From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.

Learn more about type II error on:

https://brainly.com/question/16012410

Answer:

Step-by-step explanation:

What is the slope of the line perpendicular to 2x-3y=8

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

2x-3y=8

rewrite, solve for y

3y = 2x - 8

divide by 3

y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]

perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]

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