Use the linear combination method to solve this system of equations. What is the value of x? 3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1 Negative 6 Negative 3 and two-thirds 3 and two-thirds 6

Answers

Answer 1

Answer:

x = -3 2/3

Step-by-step explanation:

Given the simultaneous equations;

3 x + 7 y = 31 ..... 1

-3x - 2y = -1 ..... 2

Add both expressions

7y - 2y = 31-1

5y = 30

y = 30/5

y = 6

Substitute y = 6 into equation 2

From 2;

-3x - 2y = -1

-3x - 2(6) = -1

-3x - 12 = -1

-3x  = -1  + 12

-3x  = 11

x = -11/3

x = -3 2/3

Hence the value of x is -3 2/3

Answer 2

Answer:

x = -3 2/3

Step-by-step explanation:


Related Questions

Lin is reading a 47-page book. She read the first 20 pages in 35 minutes. Rounding to the nearest minute, how long will it take Lin to finish the entire book?

Answers

Answer: 82.25 minutes

Step-by-step explanation:

First convert the minutes she took to hours. This would be:

= 35/60

She is reading at a speed of 20 pages per 35/60 hours.

To finish 47 pages therefore, she will take:

= (47 * 35/60) / 20

= 1.37083 hours

Converted to minutes that would be:

= 1.37083 * 60 mins

= 82.25 minutes

What is the perimeter of rhombus STAR

Answers

Answer:

160 cm

Step-by-step explanation:

please help I don’t understand this if you could help me that would be great , thanks!

Answers

Answer:   y = 4x

slope = 4

y intercept = 0

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

Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

------------------

We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x

Is , divisible by , , , , , , or 0?

Answers

Nothing can divide 0

Find the slope of the line.
Plz, I need help!

Answers

Answer:

The slope of this line is

[tex] \frac{1}{2} [/tex]

Alright, so to find the slope of a line from a graph, we would use the formula m = Rise/Run.
So, in order to do this, we would just take two points on the graph and see how many units we have to go up which will be our Rise and then how many units we have to go across which will be our run.
So, for example, let’s the the coordinates(-6,1) and (-4,2)
So, we will start at (-6,1) and we need to get to (-4,2).
To do this. We are going to go up 1 unit which is our Rise and then, we are going to go over to the right 2 units which is our run.
So, the slope of this line is M = 1/2.

Step by step explanation

Answers

Answer: x = 4 and y = -3

Step-by-step explanation:

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.

3(-2 -2y) + 5y = -3

-6 - 6y + 5y = -3

-y = 3

y = -3

Now that we know y, we plug it into the original equation and solve for x.

2x + 4(-3) = -4

2x + -12 = -4

2x = 8

x = 4

You can check the answer by plugging both x and y into either of the original equations.

What is the slope of the line that passes through the points (2, -3) and (5, 1)?

Answers

Answer:

The slope is 4/3 :)

Step-by-step explanation:

Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant

Answers

Answer:

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

A thrill ride at an amusement park holds a maximum of 12 people per ride.

a. Select an inequality that you can use to find the least number of rides needed for 15,000 people. Let x represent the number of rides. Then find the least number of rides needed for 15,000 people
b. Do you think it is possible for 15,000 people to ride the thrill ride in 1 day? Explain.
The park is open //// hours per day. To complete the least number of rides required for 15,000 people in 1 day, the thrill ride would have to operate, to the nearest tenth, about
///// times per hour. This means that the thrill ride would have to operate once every
////// seconds, to the nearest second.
//// is blank! pls HELP ASAP!!!!

Answers

Answer:

b

Step-by-step explanation:

-^-

Find -0.5D D=[18. 16] [-14 -6]
Options are: A. [9 8] [-14 -6] B. [9 8] [7 3] C. [9. 8] [-7 -3] D. [-9 -8] [7 3]

Answers

Answer:

The correct answer is Option D: [-9 -8] [7 3]

Step-by-step explanation:

Given that

D = [18 16][-14 -6]

We have to find -0.5D

In order to find the required values of D we only have to multiply the individual elements with -0.5, this might change the signs of elements and reduce the magnitude.

So,

[tex]-0.5D = [-0.5*18\ \ -0.5*16][-0.5*-14\ \ \ -0.5*-6]\\-0.5D =[-9\ \ \ -8][7\ \ \ 3][/tex]

Hence,

The correct answer is Option D: [-9 -8] [7 3]

A company that makes hair-care products had 4,000 people try a new shampoo. Of 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

Please help me!!!

Answers

the answer is 0.6% i think hope this helps

Answer:

0.6%

Step-by-step explanation:

[tex]\frac{24}{4000}[/tex] = 0.6%

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4000, so we can write it down as 100%=4000.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=4000

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4000/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 4000

100%/x%=4000/24

(100/x)*x=(4000/24)*x       - we multiply both sides of the equation by x

100=166.666666667*x       - we divide both sides of the equation by (166.666666667) to get x

100/166.666666667=x

0.6=x

x=0.6

now we have:

24 is 0.6% of 4000

PLEASE HELP I HAVE 15 MINS LEFT PLSS

Answers

Answer:

14

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

(times by 8) 105 mins= 1 day (times by 8)

                        840mins            = 8 day

840 mins in hours is 14 hours

ACE THAT TEST!!!

if f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
I need this solved ASAP it is important please help me NO FAKE ANSWERS

Answers

Answer:

f(1)=101.25 and f(2)=112.5

Step-by-step explanation:

f(1) = 72(1.25)^1 = 11.25

f(1)=90=11.25

f(1)=101.25

f(2) = 72(1.25)^2

f(2)=72(1.5625)

f(2)=112.5

Ill mark you brainliest And you'll get 20 points!

Answers

Answer:

F. 3k - 11 =-34

Step-by-step explanation:

3(-15) -11 = -34

-45 - -11 =-34

- + - = a positive

-45 + 11 = -34

Solve each compound inequality. Graph your solutions.
5 + m > 4 or 7m< -35

Answers

Answer:

Solving the inequality [tex]5 + m > 4\: or\: 7m< -35[/tex] we get [tex]\mathbf{m>-1\:or\: \:m<-5}[/tex]

The graph of the inequality is shown in figure attached.

Step-by-step explanation:

We need to Solve each compound inequality [tex]5 + m > 4\: or\: 7m< -35[/tex]

Solving the inequalities

For solving compound inequalities we solve both inequalities simultaneously and find the value of m.

For solving 5+m > 4, we subtract 5 from both sides.

While solving 7m < -35, we divide both sides by 7 to get value of m

Applying these functions we get:

[tex]5 + m > 4\: or\: 7m< -35\\m>4-5\:or\:m<\frac{-35}{7}\\m>-1\:or\:m<-5[/tex]

So, solving the inequality [tex]5 + m > 4\: or\: 7m< -35[/tex] we get [tex]\mathbf{m>-1\:or\: \:m<-5}[/tex]

The graph of the inequality is shown in figure attached.

A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?

(A) 4/5

(B) 9/4

(C) 9/13​

Answers

Answer:

(C) 9/13

Plzzzzz give me Brainliest!!!!!  

Answer:

C. 9/13

Step-by-step explanation:

It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously

50 points and BRAINLIST

Answers

Step-by-step explanation:

The answer is 10 percent

Step-by-step explanation:

10% is the answer of this questions

A train moves at a constant speed. The train travels 13
miles in 7 hour. What is the train's speed in miles per
hour?

Answers

Answer:

1.86 Miles per hour

Step-by-step explanation:

13/7

what is 2 + 2-(-3 x 10



pic a pic that will be best as my pfp

Answers

Answer:

Step-by-step explanation:

Combine Like Terms:

=2+2+3x^10

=(3x^10)+(2+2)

=3x^10+4

Answer:

34

Step-by-step explanation:

2+2+30 Simplify

34 add the numbers

Hope that helps

What is the solution to the system of equations?
y = x +3
X=-2

Answers

Answer: i don’t know

Step-by-step explanation:

if the tire pressure gauge is showing the reading 8% higher, the what is the actual pressure if the reading is 39.42?

Answers

Answer:

The actual pressure is 36.50

Step-by-step explanation:

Given that:

Tire pressure reading = 8% higher

Reading = 39.42

As 100% will be the actual reading.

New reading = (100+8)% = 108%

Let,

x be the actual pressure of the tire

108% of x = 39.42

[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]

Dividing both sides by 1.08

[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]

Hence,

The actual pressure is 36.50

Amelie and her friends pick 27 pounds of blueberries. Each pound of blueberries contains 195 blueberries. How many blueberries did Amelie and her friends pick?

Answers

Answer:

5,265 blueberries

Step-by-step explanation:

195 blueberries      1 pound

----------------------- x  --------------

          ?                     27 pounds

cancel the 1 pound

cross multiply the 195 and 27

Answer:

hi soo i just did this got it right and the correct answer is 5265.

Step-by-step explanation:

ik it might not help now but still work right? hehe

Plssssssssss help????????

Answers

Step-by-step explanation: Since the equation of this line is written in

slope-intercept or y = mx + b form, its slope or m is represented by the

coefficient of the x term which in this case is 8/5.

It's y-intercept or b is represented by

the constant term which in this is -5.

To graph the line, start with the y-intercept of -5.

So go down 3 units on the y-axis, plot a point at (0, -3).

From there, take your slope of 8/5, so rise 8 units

and run 5 units the right which should leave you at (5, 3).

Graph the line through those points.

Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so on. Write an expression with exponents to show how many students sit in the third row? How many total students are seated?

Please help, I don't understand this. You get 65 points!

Answers

Answer:

15

Step-by-step explanation:

Dont need an explanation really, but if there are 5 rows, with 3 each in them, all you need to do is 3x5.

15.

What is the value if f(0)?​

Answers

Answer:

D

Step-by-step explanation:

Where f(0) is or x=0, y= 4

Answer:

4

Step-by-step explanation:

( d ). 4. is correct

we have. to see x (0) n on the 0 we have. to find the no: of y that cross the on it

please help with this question (the attached image)

Answers

Answer:

it is c

i had this test pls marek me brainlyesest

Answer:

Your awnser is C.

Step-by-step explanation:

.

The length and width or a rectangular courtyard is 40 feet and 30 feet, respectively. In order to make the courtyard larger, an additional 15 feet is being added to the width

Answers

Answer:

The new area is 1800feet^2

Step-by-step explanation:

Step one:

Given data

The length and width or a rectangular courtyard is 40 feet and 30 feet

we can calculate the area of the courtyard as

Area= 40*30

Area= 1200 feet^2

when the extra 15 feet is added to the width

the new width is= 30+15= 45feet

The new area is

Area= 40*45

Area= 1800 feet^2

in all the area will increase by 1800-1200= 600feet

Solve the system using substitution.
y=2x−5
y=2x+7

May someone explains and help me with a picture, please.

Answers

Answer:

no solutions

Step-by-step explanation:

if y=2x-5

and y=2x+7

2x-5=2x+7

-5 is not equal to 7

Answer:

no solution.

Explaination:

solve for the very first variable in your equation and then you would substitute the result into the other equation. by doing so, you should get no solution.

Best buy is having a 20 percent off deal on Tv's. If the tv cost 415 dollars in total, how much would you pay with the discount?

Answers

Answer: $332

Explanation:

You have to change the percent into a decimal so 20% becomes 0.20

415 x 0.20 = 83

20% of 415 is 83

415 - 83 = 332

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Answers

Answer:

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.

Answer:

w

Step-by-step explanation:

w

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