Given a system of two equations in Two variable, replacing one equation by the sum of that equation and multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. Use addition property of equality and multiplication property of equally in your answers.



1. To solve the system using elimination, First multiply the bottom equation by two. Write the new system of equations.
5x+2y=7



2. Why is this multiplication allowed?

3. What variable will be eliminated when the equations are combined after the multiplication?


4. Next, add the equations tighter. Your answer should be a single equation with one variable.


5. Why can you add the equations


6. Solve the equations for x

7. Substitute x back into one of the equations solve for y


8. What is the solution to the system of the equations?



Please I need this in 24 hours

Given A System Of Two Equations In Two Variable, Replacing One Equation By The Sum Of That Equation And

Answers

Answer 1

Answer:

5x + 2y = 7

3x � y = 2

multiply the second equation by 2 and leave the first equation as is to get:

5x + 2y = 7

6x � 2y = 4

add the second equation to the first equation to get:

11x = 11

divide both sides of that equation by 11 to get:

x = 1

replace x with 11 in the first original equation to get:

5x + 2y = 7 becomes 5 + 2y = 7

solve for y to get y = 1

your solution is x = 1 and y = 1

confirm by replacing x and y with 1 and 1 in both original equations to get:

5x + 2y = 7 becomes 5 + 2 = 7 which is true.

3x � y = 2 becomes 3 - 1 = 2 which is true.

Step-by-step explanation:

Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answers.

5x + 2y = 7

3x � y = 2

A1. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.

B1. Why is this multiplication allowed?

C1. What variable will be eliminated when the equations are combined after the multiplication?

D1. Next, add the equations together. Your answer should be a single equation with one variable.

E1. Why can you add the equations?

F1. Solve the equation for x.

G1. Substitute x back into one of the equations to solve for y.

H1. What is the solution to the system of equations?

I hope this helps! ο(=•ω<=)ρ⌒☆

Related Questions

Find the length of the missing side х
10.6
8.6

Answers

Answer:

13.65

Step-by-step explanation:

❗️HELP❗️
What is the RANGE of this input/output table???


Answers:

A. 2

B. 1,2,4,5,6

C. 2,4,5,6

D. 1,2

Answers

Answer:

if im not wrong its 1 and 2

(4/9) to the power of 2

Answers

Answer:

24.01

Step-by-step explanation:

The question is incomplete the complete question is

Evaluate (4/9) to the power of 2.

We have given that,

(4/9)^2

Apply the product rule to 4/9.

What is the exponent rule?

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]=\frac{4^2}{9^2}[/tex]

[tex]4^2=16[/tex]

[tex]=\frac{16}{9^2}[/tex]

[tex]9^2=81[/tex]

[tex]=\frac{16}{81}[/tex]

Therefore the (4/9) to the power of 2 is equal to [tex]\frac{16}{81}[/tex].

To learn more about the exponent rule visit:

https://brainly.com/question/11975096

#SPJ2

34. HOME What's the Error? Nathan says
that Madison Square Garden is located
at (0,3) on the map. Is his ordered pair
correct? Explain.

Answers

Can’t see the coordinate plan so I can’t answer it
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

4) Which expression is equivalent to 9(9m + 3t) ? 6.EE.A.3"
5 points
A) 18m + 3t
B) 81m + 3t
C) 18m + 12
D) 81m + 271

Answers

The answer is D; could you make me the brainiest? Because the answer is 81m+27t

i’ll give u brainliest!!
what are the areas for shape 1,2 and 3

Answers

Answer:

I think it is

1: 22.37

2:16.81

3:83.16

Step-by-step explanation:

Answer:

Shape 1: 22.365

Shape 2: 16.81

Shape 3: 83.16

Step-by-step explanation:

I'm going to start with 2, because its the easiest shape to do, which is 4.1*4.1= 16.81. Next is 3, which you find the length by adding 4.1 to 9.1 = 13.2. You then multiply 13.2 by 6.3 = 83.16. Finally for shape 1, you first find the bottom shape,  which you do by dividing 6.3 by 2 so you can get the width of half the triangle. That is 3.15. then you multiply that by 7.1 to get the area of 22.365.

Please help me It’ll help a lot

Answers

Answer:

heyy

the answers "20"

Step-by-step explanation:

Okay using the x that we have we find 40 and plug that into the graph and we have 20 :p

Trina’s paycheck earnings vary directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

Answers

Answer:

$486.00

Step-by-step explanation:

187.15/19=11.70

11.70 x 40 = 468

There are 12 more boys than girls in the cafeteria. If there
are 22 people all together, how many boys are there?

Answers

22-12= 10 so they’re are 10 boys have a nice day

s + 2.5s + 2.5s - 3.3 =

Answers

Answer: 6s-3.3

Step-by-step explanation:

Answer:

[tex]s=0.55[/tex]

Step-by-step explanation:

[tex]6s=3.3\\s=\frac{3.3}{6}\\s=0.55[/tex]

Convert the following repeating decimal to a fraction in simplest form.
.3

Answers

Answer:

1/3

Step-by-step explanation:

When you divide 1 by 3, you get .3 repeating.

The following table represents a proportional relation. Find the missing values:

x 0 1 2 3 4
y
13.2

Answers

Answer:16288.xy

Step-by-step explanation:

HELP ME WITH MATH PLZZ

Answers

Answer:

d.exponential because as x increases by 1 y is multiplied by 3

Step-by-step explanation:

hope it help

Solve for the values of x and y. Round the answers to the nearest hundredth.​

Answers

Answer:

x = 26, y = 19

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ST}{NP}[/tex] = [tex]\frac{RS}{MN}[/tex] , substitute values

[tex]\frac{x}{13}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 13 )

x = 26

and

[tex]\frac{MP}{RT}[/tex] = [tex]\frac{MN}{RS}[/tex] , substitute values

[tex]\frac{y}{38}[/tex] = [tex]\frac{16}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 38 ( divide both sides by 2 )

y = 19

Jennifer purchased for 2$ and p pounds of sliced turkey at 5$ per pound for a total of $13.25. Which equation represents jennifer's purchase from the grocery store?

Answers

Answer:

$2 + $5p = $13.25

Step-by-step explanation:

Given that:

Initial purchase = $2

Pound of sliced turkey = p

Cost per pound of sliced turkey = 5$

Total amount spent = $13.25

Jennifers purchase from grocery store :

Initial purchase + (pound of sliced turkey * cost or pound) = total amount spent

$2 + $5p = $13.25

12-(x-3)=8
what is the value of x

Answers

Answer: 7

Step-by-step explanation: First distribute the subtraction sign (negative one) to x and -3. Now we have 12 -1x + 3 = 8. Now combine 12 and 3 then subtract 15 from both sides to get -1x = -7. Now divide both sides by -1 to get x = 7.

Hope this helps!

Answer:

Step-by-step explanation:

12-(x-3) =8

12 -x +3 = 8

15 - x = 8

- 15.    -15

-x = -7

x = 7  

What is the area of the bulletin board?

PLEASE HELP!!

Answers

Answer:

B: 8^3 in squared

Step-by-step explanation:

2^3 = 2*2*2= 8

4^3 =4*4*4=64

Area of rectangle equals length times width.

So, 8 * 64 equals 512 and 8^3= 512

Use calculator. Also, you can just treat it as normal multiplication and choose the one with the same units. so it would be 8, but then the next thing you would need to look at is the exponent. Since 8^6 is not the same exponent as the two in the problem, it has to be the 8^3, which are the same  

Given a triangle ABC has angles of A = 30 and B = 70, what is the smallest side?

Answers

Answer:

A=30 is the smallest side

Step-by-step explanation:

A+B+C= 180

30+70+C=180

100+C=180

C=180-100

C=80

Therefore, A=30 is the smallest side of the triangle...

If x = 2, y = -1, Simplify and find the value of x(2) - 3 (x(2) + y(2) - 4).

Answers

Answer:

I think it would be -4x-6y+12

Answer:

10

Step-by-step explanation:

Plug in the values to "x" and "y" and solve.

Solve:

2(2) - 3(2(2) - 1(2) - 4)

2(2) - 3(4 - 1(2) - 4)

2(2) - 3(4 - 2 - 4)

2(2) - 3(-2)

4 - 3(-2)

4 + 6

10

Your answer would be 10.

Solve 11x - 6 = 10.5

Answers

Answer:x= 1.5

Step-by-step explanation:

I think

Answer:

X=1.5

Steps:

11x-6=10.5

11x=16.5

x=1.5

Only answer if it's 1000000000% Correct UwU
If the cost of a bat and a baseball combined is $1.10 and the bat costs $41.00 more than the ball, how much is the ball?

Answers

it is 5 cents :v

Cause I said so

Answer:

5 cents

Step-by-step explanation:

Solve |x+4|=6 need help for a quiz

Answers

Answer:

down below

Step-by-step explanation:

set up two equations:

x + 4 = 6                    x + 4 = -6

solve both:

x = 2                          x = -10

plug it back in to the original equation:

|2 + 4| = 6.                 |-10 + 4| = -6

|6| = 6.                       |-6| = -6

6 = 6.                         since absolute value is always positive:

correct.                     |6| = -6

                                6 does not = -6

write both of these down if you need to show your work

Use the figure below to answer the following questions.

What is mZ2?

Answers

Answer:

angle2 = 50º

Step-by-step explanation:

Angle 1 is 60º because of the vertical opposite angle rule

There are 180º in a Triangle.  So...

70º + 60º + angle2 = 180º

130º + angle2 = 180º

angle2 = 50º

While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?

Answers

Answer:

$25

Step-by-step explanation:

Given that:

Cost of Ashley's dinner in Bloomington = $20

Sales tax = 10%

Tip = 15% on $20

To find:

Total cost of the meal ?

Solution:

Let us find the sales tax first of all.

Sales tax is 10% of the total bill.

Therefore, sales tax = 10% of $20

[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]

Tip left is 15% of the total bill.

Therefore, tip = 15% of $20

[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]

Now, total cost of the meal = Food cost + Sales tax + tip

Total cost of the meal = $20 + $2 + $3 = $25

Round to the nearest tenth. 1.598 *

Answers

Answer:

1.6

Explanation:

1.598

Round from the nearest tenth

1.59

If the number in the hundredths place is higher then 5 then add one to the tenths place.

1.6

The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a showing where 200 tickets were sold the theater collected $1304.
How many adult tickets were sold.?

Answers

Answer is 654 tickets

A system of equations is shown:

4x = −3y + 17
3x − 4y = −6

What is the solution to this system of equations?

(−2, −3)
(3, 2)
(2, 3)
(−3, −2)

Answers

Answer:

(2, 3)

Step-by-step explanation:

select all the fractions that are equivalent to each other

Answers

Answer:

When fractions have different numbers in them, but have the same value, they are called equivalent fractions.

Step-by-step explanation:

Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different.

I need help can you guys answer it the question is which rate describes a unit rate of 8:1???
options:
A: 12 feet for 3 dogs
B:40 miles for 5 hours
C: 70 for 5 umbrellas
D: 45 sit ups in 9 seconds

Answers

Answer:

C VOTE BRAINlY

Step-by-step explanation:

what is computer answer

Answers

Step-by-step explanation:

A programmable electronic device that performs mathematical calculations and logical operations, especially one that can process, store and retrieve large amounts of data very quickly; now especially, a small one for personal or home use employed for manipulating text or graphics, accessing the Internet, or playing games or media is computer.

Hope it helps :)❤

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