Solve the system below by substitution.
6x - y = - 23
2x + 5y = -13

Answers

Answer 1

Answer:

x= -4 y= -1

Step-by-step explanation:

6x - y = - 23

-y=-23-6x

y=6x+23, use this to plug in for y in the second equation.

2x + 5y = -13

2x + 5(6x+23) = -13

2x+30x+115=-13

x= -4, use this to plug in for x in the first equation.

6x - y = - 23

6(-4)-y=-23

-24-y=-23

-y=-23+24

-y=1

y= -1

Answer 2

The values after solving the equations by substitution is that the value of x is -4 and the value of y is -1.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the provided data in the question,

6x - y = -23  (i)

2x + 5y = -13  (ii)

Multiply equation (ii) by 3

6x + 15y = -39 (iii)

Solve equation (i) and (iii)

-16y = 16

y = -1

Substitute y = -1 in equation (i)

6x = -23 - 1

x = -4.

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Related Questions

What is the Lcm for 25,60,150

Answers

Answer:

300

Step-by-step explanation:

Cara has two pieces of ribbon, one 15 inches long and the other 20 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?

Answers

Answer:

5 inches

Step-by-step explanation:

Given that :

There are two pieces of ribbon with length:

15 inches and 20 inches

To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :

Calculate the greatest common factor of both lengths : 15 inches and 20 inches

____15___20

_5__ 3___4

OR

Find the factors of 15 and 20 and pick the greatest common to both

15 : 1, 3, 5, 15

20 : 1, 2, 4, 5, 10, 20

Greatest factor common to both = 5

Hence the greatest length she can cut the ribbons into without any leftover is 5 inches

True or False
The greater (the absolute value of) the slope, the steeper the line.

Answers

Answer:

true

Step-by-step explanation:

Yes it is true!!!!!!!!!!!!!

Find the next term of the square 16,9,2,-5....

Answers

Answer:

- 12

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

9 - 16 = 2 - 9 = - 5 - 2 = - 7

Thus to find the next term subtract 7 from the previous term, that is

- 5 - 7 = - 12

what is the absulute value of -54​

Answers

Answer:

54

Step-by-step explanation:

Absolute value is the number without the negative. Next time just remove the negative and you're all set!

what is the equation for cx+4y=8t when your solving for x

Answers

x = 8t/c - 4y/c

isolate the variable by dividing each side by factors that dont contain the variable

What is 3 ÷ 2/5

The quotient is 7 and _____

Answers

Answer:

smart boy/girl !

Step-by-step explanation:

1/2

Answer:1/2


explanation:I did the test but I got the answer wrong because I thought it was 7 and 1/5 , but it’s 1/2

What is the difference of the polynomials below?

(2x²-3x+8)-(3x²+7x--2)

A)-x²-4x+10
B)-x²-10x+10
C)5x²+4x+6
D)x²-10x+10

Answers

Answer:

B

Step-by-step explanation:

(2x² - 3x + 8) - (3x² + 7x - 2)

~Distribute the negative sign

2x² - 3x + 8 - 3x² - 7x + 2

~Combine like terms

-x² - 10x + 10

Best of Luck!

3/5x = -15 one or two step equations

Answers

Answer:

x=1/25

Step-by-step explanation:

Answer: -25

Step-by-step explanation:

You would have to divide both sides by 3/5 which is the same as multiplying by 5/3.

x = -15*5/3

x = -75/3 = -25

HELP PLEASEEE!!!Determine whether or not each relationship represents a function. Explain your reasoning for the graph and also for the table.
y
-2
5
1
4
0
3
2
4

Answers

Answer:

It's not a function

Step-by-step explanation:

Due to the fact that at one x point there are multiple y values so this cannot be a function. The graph also does not pass the vertical line test, therefore it is not a function.

1. The graph is not represent a function.

2. The table shown in figure is represent a function.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The graph is shown in  shown in figure.

And, In the table;

Value's of x are - 2, 1 , 0 , 2

And values of y are 5, 4 3 , 4

Now,

To check the graph is the function or not, we use vertical line test.

If the vertical line draw parallel to y - axis and it cuts more than one points in the graph, then the graph is not a function.

Here, When we draw a vertical line which is parallel to y - axis then it cuts more than one point, so it is not a function.

Thus, The graph is not represent a function.

2. In the table;

Value's of x (input) are - 2, 1, 0, 2.

And values of y (output) are 5, 4, 3, 4.

Clearly, Every input have exactly one output.

So, By definition of function;

The table shown in figure is represent a function.

Therefore,

1. The graph is not represent a function.

2. The table shown in figure is represent a function.

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PLEASE HELP QUICK
What's the equation of the graphed line?
a. -3x + 4y = 4
b. -3x – 4y = -4
C.-4x + 3y = 3
d. -4x – 3y = -3

Answers

Answer:

-3x – 4y = -4

Step-by-step explanation:

Write three numbers that round to to 60,000 when rounded to the nearest ten thousand

Answers

Answer:

Examples of such numbers are;

59,995

60,001

58,754

Step-by-step explanation:

Here, we want to write three numbers which when rounded to the nearest ten thousand is 60,000

We can suggest the following;

59,995

60,001

58,754

find the rate of interest when principal rs 6400 SIMPLE INTEREST RS 768 and time 2 years

Answers

Answer:

rate of interest is 6 percent per annum.

Step-by-step explanation:

Formula for simple interest is given

SI = p*r*t/100

where

SI is simple interest

p is principal

r is the rate of interest

t is the time

_______________________________

Given

p = 6400

SI = 768

t = 2 years

r we have to find

lest sue the above formula and plug the given value in it

768 = 6400*r*2/100

=> 768 = 128r

=> r = 768/128 = 6

Thus, r = 6%

thus, rate of interest is 6 percent per annum.

Please help! Due tomorrow!

Asheville, Candler, Canton, and Oteen are on the map. The scale for the map is 1/4 inch represents one mile.

PART A - If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?

PART B - If Candler and Oteen are 3 1/2 inch apart on the map, what is the actual distance between candler and Oteen in miles?

Answers

PART A: 2.25

PART B: 14

A pack of 8 AA rechargeable batteries costs $21.20. What is the cost per battery, in dollars and cents?

Answers

Answer:

2.65

Step-by-step explanation:

21.20 ÷ 8 = 2.65

Your financial advisor tells you to put away 15% of your take home pay. If you make
$1,600 and put away $250 are you putting away enough???

Answers

Answer: Yes?

Step-by-step explanation:

15% of 1600 is 240 so i think so

help ;-;........ ;v;

Answers

Answer:

$163

Step-by-step explanation:

Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:

26 x 7 = 182

Bob made a total of $182 last month.

Bob then spent $19. Subtract 19 from the total earned:

182 - 19 = 163

Bob has $163 left.

~

Answer:

He has $163 dollars left

Step-by-step explanation:

Because first we needed to find out how much did he make in 26 hours, 29 (hours) x $7 (per hour) = $182

Then he spent $19, $182 (how much he made in 26 hours) - $19 (how much he spent) = $163

Somebody please help me

Answers

Answer:

i think its the third one i could be wrong

Step-by-step explanation:

I think its the last one

What's the expression? (HELP!!) 25POINTS

Answers

Answer: it looks like a commutative expression

Step-by-step explanation: im pretty sure im wrong, goodnight

A rectangle is 45 cm on one side and 6 cm on another side. What is the perimeter?​

Answers

Answer:

102 cm

Step-by-step explanation:

45 + 45 = 90

6 + 6 = 12

90 + 12 = 102

Help with math! a, b, c or d? FAST

Answers

Answer:

d

Step-by-step explanation:

plz plz plz plz plz help WITH EXPLANATION PLZ :(

Answers

Answer:

-13/9 = x

Step-by-step explanation:

8/9 = x + 1/3(7)

~Simplify right side

8/9 = x + 7/3

~Subtract 7/3 to both sides

-13/9 = x

Best of Luck!

x= -13/9

1/3(7) = 1/3 x 7

1/3(7) = 7/3 = 2 1/3

It takes 19.8 hours of work to plant a field of vegetables. Each person in the Fram family worked for 3.3 hours to help plant the field. How many people are in the Fram family?​

Answers

Answer:

There are 6 people in the Fram family

Step-by-step explanation:

19.8 ÷ 3.3 = 6

Hope this helped!!

Answer:

19.8

3.3

19.8/3.3

6

Step-by-step explanation:

got it right

someone plz help me the phot is attached

Answers

I cant even see wat it says

Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17

Answers

Answer:

4

Step-by-step explanation:

Hi so basically you just convert the inches to decimals so

0.5 x 0.5 x 0.25 = 0.0625

Use a calculator to convert 0.0625 into fraction which is [tex]\frac{1}{16}[/tex]

Multiply [tex]\frac{1}{4}[/tex] by 3 = [tex]\frac{1}{64}[/tex]

Then multiply [tex]\frac{1}{16}[/tex] by [tex]\frac{1}{64}[/tex] = 4

Soo that was probably very confusing, but I hope it helps! :)

Plz click the Thanks button, I rrly appreciate it!

Answer:

length: 2 cubeswidth: 1 cubeheight: 2 cubesvolume: 4 cubes

Step-by-step explanation:

We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.

It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.

Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...

  2 cubes × 2 cubes × 1 cube

As with any rectangular prism volume calculation, the volume is the product of the dimensions:

  V = LWH = (2)(1)(2) = 4 . . . cubes

_____

For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.

_____

Additional comment

Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).

ZLMN is a straight angle.
Find mZLMP and mZNMP.
(-16x + 13)-20x + 23)
M
N
27
m/LMP
m NMP =

Answers

Answer:

Step-by-step explanation:

-16x+13+-20x+23=180

-36x+36=180

-36x=144

X=-4

Then put -4 in -16(-4) + 13 = 77

Answer is 77

The angle LMP will be 75.22° and the angle NMP will be  104.77°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

∠LMN = ∠ LMP + ∠NMP

Since ∠LMN = 180°

So,

∠ LMP + ∠NMP = 180

-16x + 13 - 20x + 23 = 180

-36x + 40 = 180

36x = -140

x = -3.88

So,

∠ LMP = -16(-3.88) + 13 = 75.22°

So,

∠NMP = 180 - 75.22 = 104.77°

Hence "The angle LMP will be 75.22° and the angle NMP will be  104.77°".

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Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

According to a study, for every 50C increase in rental price, the average business can expect to lose 4 rentals a day.

Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases.

b(x)= x + x+ [

Answers

Answer:

b(x) = -2X² + 19X + 114

Step-by-step explanation:

b(x) = total revenue generated per day

total revenue formula ⇒ b(x) = price x quantity

price = $3 current price + 0.5X price increase = 3 + 0.5X

quantity = 38 current quantity sold - 4 books per X = 38 - 4X

b(x) = (3 + 0.5X) · (38 - 4X)

b(x) = 114 -12X + 19X - 2X²

b(x) = -2X² + 19X + 114

Evaluate:-7(-6) =

Plz help me I’m in a test

Answers

Answer:

positive 42

Step-by-step explanation:

because to negatives make a positive and then you would multiply the two by eachother because they are directly beside eachother and then you do 7*6 which equals to 42 I really hoped this helped you

Be first to answer! :)

Answers

Answer:

2x + 200 = 6x + 120

Step-by-step explanation:

Super-Clean house cleaning company:  2x + 200

Power Bright: 6x + 120

Now, they have to be equal because we are trying to find the equation for total charges.

So, your equation would be 2x + 200 = 6x + 120.

Hope this helps!

Answer:

Step-by-step explanation:

Let the number of linear feet = x

Let the total cost = y

Condition One

y = 200 + 2x

Condition Two

y = 120 + 6x

Now you want the ys to be the same.

200 + 2x = 120 + 6x

Find three angles coterminal to an angle of 1 radian

Answers

Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found?

Step-by-step explanation:

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