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Using the substitution method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.



`2x+y=20`

`6x-5y=12`​

Answers

Answer 1

Answer:

2x+y=20 and -5y=6x+12 are your equations.

You can turn 2x+y=20 into y=-2x+20

Substitute this value of y into the other equation.

-5(-2x+20)=-6x+12

10x-100=-6x+12

16x=112

x=7

Substitute this value of x into the other equation.

2(7)+y=20

y=6

Your answer is x=7 and y=6.


Related Questions

Which expression has the same value as 37.4 - 54.9?

Answers

Answer:

The answer is D.

Step-by-step explanation:

Hope this helps and I hope u have an Amazing day!!

Is it A B C or D? Please respond

Answers

The answer is the second one; B.

Solve the following inequality algebraically.
x + 2 < 11

Answers

Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

1/b+x=3b/2x^2 - 1/x
btw ^2 means square

Answers

Answer:

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Step-by-step explanation:

[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]

[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]

[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]

[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]

[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]

[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]

[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]

[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]

[tex] = > (3b + 4x)(b - x) = 0[/tex]

Hence,

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

The length of a rectangle is 9cm more than four times the width. If the perimeter of the rectangle is 78 cm, what are its dimensions

Answers

Answer:

Length is 32. 6 cm and width is 5.9 cm

Step-by-step explanation:

width(w)=w

perimeter(p)=78 cm

length(L) = 4w+9

p=2L+2w

78=2(4w+9)+2w

78=8w + 19 + 2w

10w=59

w=5.9 cm

L=4w+9

L=4(5.9)+9

L=32.6 cm

Therefore length is 32.6 cm and width is 5.9 cm

if A # B means the same thing as 2 A- B, then 1 # ( (2 # 3 ) # 4) equals:

Answers

By definition of #,

2 # 3 = 2•2 - 3 = 4 - 3 = 1

(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2

1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4

The 1 # ( (2 # 3 ) # 4) equals to 4.

Given that,

if A # B means the same thing as 2 A- B.

Based on the above information, the calculation is as follows:

By definition of #,

= 2 # 3

= 2(2) - 3

= 4 - 3

= 1

Now

=(2 # 3) # 4

= 1 # 4

= 2(1) - 4

= 2 - 4

= -2

Now

=1 # ((2 # 3) # 4)

= 1 # (-2)

= 2(1) - (-2)

= 2 + 2

= 4

Learn more: brainly.com/question/16911495

In a collection of coins there are twice as many nickels as dimes and seven less quarters then dimes. Find the number of each coin if the collection is worth $16.25

Answers

Answer:

15 nickels, 6 quarters, and 12 dimes.

Step-by-step explanation: i hoped it helped ;)

yall please help mee!!im struggling and i need to turn this soon!​

Answers

Answer:

his faucet will leak 6/4 cup of water every hour, its c, you are correct good job, good luck

Step-by-step explanation:

Since it leaks 3/4 cups every 1/2 hour, in a whole hour it will leak twice as much:

[tex]\dfrac{3}{4}\cdot 2=\dfrac{6}{4}[/tex]

Which fraction represents the product of -7/8 and -9/11 in simplest form?

Answers

Answer:

63/88

any more help just ask

Answer:

c

Step-by-step explanation:

bc it is

Evaluate the expression shown below and Write your answer as a fraction in simplest form
3/4 -12/5

Answers

Answer:

-33/20

Step-by-step explanation:

JUST SPREADING THE MESSAGE!! Just so everyone knows HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS, someone told me to do this

1) Your t-shirt provider sells you blank t-shirts for $5.00. What percent markup did you
company use? Explain how you determined this percent mark-up.

Answers

Answer: 5%

Step-by-step explanation:

NEED ANSWER ASAPPP PLEASE!!

Answers

Answer:

(-2, -12), (0, 2), (2, 16), (4, 30)

Step-by-step explanation:

Input: -2

y = 7x + 2

y = 7(-2) + 2

y = -14 + 2

y = -12 (Output)

Input: 0

y = 7x + 2

y = 7(0) + 2

y = 0 + 2

y = 2 (Output)

Input : 2

y = 7x + 2

y = 7(2) + 2

y = 14 + 2

y = 16 (Output)

Input: 4

y = 7x + 2

y = 7(4) + 2

y = 28 + 2

y = 30 (Output)

MATH! What is 2x5x7x8x7?

Answers

Answer:

3920

Step-by-step explanation:

Answer:

3920

Step-by-step explanation:

can I please get help​

Answers

Answer: A. -0.25

Hope it helps :)

Step-by-step explanation:

So since 0.75 and -1.25 are in parenthesis, u have to multiply them.

-1 (0.75 - 1.25) = 0.5

-3/4 - 0.5 = -0.25

So the answer is -0.25

How do i Simplify 12 to the 16th power over 12 to the 4th power?

Answers

Answer:

12^12

Step-by-step explanation:

12^16/12^4 cancel out to the power of 4 on the bottom and on top for an answer of 12^12

does anyone know how to find the values of Y in a function table?

Answers

Answer:

1 - 5

2 - 7

Step-by-step explanation:

Plug the x values into the equation.

I can't see to do all of them, so I'll just do the first two.

1. y=2(1)+3

= 2 + 3 = 5

2. 2(2) + 3

= 4 + 3= 7

The expression (2x^4)^2(5x)^3 can be written equivalently as

Answers

Answer:

500 x^11

Step-by-step explanation:

Answer:

500x^11

Step-by-step explanation:

Using PEMDAS first get rid of parenthesis

(2x^4)^2 is the same as 2x^4 * 2x^4 or 4x^8

(5x)^3 is the same as 5^3 * x^3 or 125x^3

multiply the two together, remember exponents on like terms add together

125*4 = 500

x^8 * x^3 = x^11

multiply together

500x^11

please give thanks :)

Fill in the blank with the correct point of concurrency
Please answer A,B,C &D Thanks!

Answers

Answer:

a 12

try and use brainly bro it never lies

Answer:

A

Step-by-step explanation:

PLZ HELP!

Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

2% you have to cross multiply 53.20times 100 then divide by 1820

Step-by-step explanation:

2.6% b/c 1820×2.6/100

Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants to find the total cost for a day at the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost for a day at the amusement park. What could the number 12 represent in Mariana's equation?

Answers

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) +  (Admission fees)  (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

[tex]c = 1.50x + 12[/tex]                                       (ii)

Here, 12 = Admission fees                 [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

Eight times a number increased by nine is the same as 15 more than 7 time the number.Find the numbers​

Answers

Answer:

the number is 6

Step-by-step explanation:

8x+9=15+7x

8x-7x+9=15+7x-7x

x+9=15

x+9-9=15-9

x=6

Answer:

the answer is 6.

I found the answer by:

8x+9=15+7x

8x-7x+9=15+7x-7x

x+9=15

x+9-9=15-9

x=6

Hope this helps, have a blessed day/night, stay safe, happy holidays, and merry christmas!

a $320 dollar suit is marked down by 30% find the sales price

Answers

Answer:

224

Step-by-step explanation:

a video store charges
$10 for a rental card
plus $2.50 per video
game rented.
a. write an equation to
model the situation
b. What will be the total
cost if you decide to rent
20 video games?
c. How many video
games will you be able
to rent if you had $260?

Answers

Answer:

a. 10 + 2.50x

b. 60

c. 100

Step-by-step explanation:

a. 10 + 2.50x

b. 10 + 2.50(20)

= 10 + 50

= 60

c. 260 = 10 + 2.50x

250 = 2.50x

250/2.50 = x

x = 100

Please help !!! I neeed this ASAP please

Answers

I can do a and b for you but im unsure about c and d. I'm sorry :((

a. x = 2  

It is the only point that hits the x axis, thus making it a zero of f(x).

b. substitute 2 for x in the original equation and it should equal 0.

f(x)= x^3 - 2x - 4

f(x)= 2^3 - 2(2) -4

f(x)= 8 - 4 - 4

f(x)= 0

Find the zero of the
function by
graphing:
f(x) = -2x+6

How do I find the zero?

Answers

Answer:

i think you set the equation to zero

Step-by-step explanation:

The graph of a linear relationship passes
through (0, 2), (1,5), and (3, 11) but not
through (2, 7). Which of the following is
the equation for this linear relationship?
A y= 2x + 3 Cy=5x
B y = 3x + 2
Dy= 4x - 1

Answers

Answer:

The equation of the linear relationship is y = 3x + 2B

Step-by-step explanation:

To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation

A.

∵ y = 2x + 3

→ Use the first point (0, 2)

∵ x = 0

→ Substitute x by 0 in the equation

∴ y = 2(0) + 3

∴ y = 0 + 3 = 3

∵ The y-coordinate is 2

The point (0, 2) does not lie on the graph of the relationship

∴ The equation y = 2x + 3 doesn't represent the equation of the relationship

B.

y = 3x + 2

→ Use the first point (0, 2)

∵ x = 0

→ Substitute x by 0 in the equation

∴ y = 3(0) + 2

∴ y = 0 + 2 = 2

∵ The y-coordinate is 2

The point (0, 2) lies on the graph of the relationship

→ Use the second point (1, 5)

∵ x = 1

→ Substitute x by 1 in the equation

∴ y = 3(1) + 2

∴ y = 3 + 2 = 5

∵ The y-coordinate is 5

The point (1, 5) lies on the graph of the relationship

→ Use the third point (3, 11)

∵ x = 3

→ Substitute x by 3 in the equation

∴ y = 3(3) + 2

∴ y = 9 + 2 = 11

∵ The y-coordinate is 11

The point (3, 11) lies on the graph of the relationship

→ Use the fourth point (2, 7)

∵ x = 2

→ Substitute x by 2 in the equation

∴ y = 3(2) + 2

∴ y = 6 + 2 = 8

∵ The y-coordinate is 7

The point (2, 7) doesn't lie on the graph of the relationship

The equation of the linear relationship is y = 3x + 2

Please help me out!!!!!

Answers

Answer:

Step-by-step explanation:

7(2)³ - 2(2)² + 4(2) - 5 = 51

The answer is (D).

Y -7=2
6. Help me please ayuda

Answers

Answer:

54

Step-by-step explanation:

First add 7 to both sides to cancel out the -7

y/6-7(+7)=2(+7)

Then, multiply 6 to both sides to cancel the 6

y/6(6)=9(6)

y=54

Salim walked113miles to school and then212miles to work after school. How far did he walk in all?

Answers

The answer is 325 miles!

Mr Hassan spent 1/3 of his salary on food and 2/5 of the remainder on transport. What fraction of his salary was left?

Answers

Answer:

4/15 was left over from is salary.

Step-by-step explanation:

Common denominator is 15. 5/15+6/15= 11/15.

15/15-11/15= 4/15.

If Mr Hassan spent 1/3 of his salary on food and 2/5 of the remainder on transport then 4/15  fraction of his salary was left.

What is Fraction?

A fraction represents a part of a whole.

Let us consider the salary of Hassan as 1.

Mr Hassan spent 1/3 of his salary on food

2/5 of the salary on transport.

We need to find the fraction of his salary left.

We need to subtract 1/3 and 2/5 from 1

1-1/3-2/5

LCM of 3 and 5 is 15

15-5-6/15

4/15

Hence, 4/15 is the fraction of Hassan salary was left

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

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