A system of equations can be solved by elimination in the table below. 1 5x + 3y = 14 4x - 2y = -2 2 2(5x + 3y) = 2(14) 4x – 2y = -2 5x + 3y = 14 3(4x – 2y) = 3(-2) 3 10x + 6y = 28 4x - 2y = -2 5x + 3y = 14 12x – 6y = -6 4 10x + 6y = 28 12x 6y = -6 Does the system of equations on line 4 have the same solution set as the system of equations on line 1? Why or why not?
A.The system of equations in stel 4 is equivalent to the system of equation in step 1
The systems do not have the same solution set because the same ordered pair does not satisfy both systems.
B.The system of equations in step 4 is not equivalent to the system of equation in step 1.
The systems do not have the same solution because the same ordered pair does not satisfy both systems.
C.The system of equations in step 4 is
equivalentes to the system of equation in step 1
The systems have the same solution because the same ordered pair does satisfie both systems.
D.The system of equations in step 4 is not equivalentes to the system of equation in step 1
The systems have the same solution because the same ordered pair satisfies both systems. ​

Answers

Answer 1

Answer: C

The system is equivalent and has the same solutions.

Step-by-step explanation:

When multiplied by 2, the first equation is equal to the first one on line 4.

When multiplied by 3, the second equation on line 1 is equal to the second equation on line 4.

Since the equations are equal, the same ordered pair satisfies both equations.

I checked this on algebra nation and C is the correct answer.


Related Questions

solve for x
1/4x^3 = -27/5​

Answers

Answer:

x = ∛(-21/6)

Step-by-step explanation:

Multiply both sides by 20 to remove the fractional coefficients:

5x^3 = -108

Divide both sides by 5:  

x^3 = -21/6

Then x = ∛(-21/6)

Use slope-intercept form

Answers

Answer:

[tex]y=-\frac{1}{2} +3[/tex]

Step-by-step explanation:

Answer:

y = -1/2x + 3

(x+5)/2-(2x-7)/3+x/6

Answers

I believe this would be your answer!

What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw?

Answers

Answer:

2/10 on the first draw and 1/9 on the second draw

Step-by-step explanation:

In the first draw, 2 marbles are yellow out of 10, but on the second draw, you don't replace a yellow marble leaving 1 yellow marble out of 9 total marbles in the bag.

Find the volume of the cylinder below??

Answers

Answer:

V≈339.12

Step-by-step explanation:

songs is lorea - secret

https://www.you tube.com/watch?v=f2bsbMEucRI

(take out the space btwn you and tube)

Brian and sonya each have a container. They mark their containers to show tenths. Brian and sonya both fill their containers with 0.7 units of juice. However, brian has more juice in him container. Explain how this is possible.

Answers

Answer:

Step-by-step explanation:

Brian could have more juice than Sonya in actual sense, This is because the representation used, that is the container has been calibrated to show tenth. This means that decimal values of juice in the container will not show explicit volume beyond tenth. Hence the volume will be rounded.

For instance, if the actual volume of juice Brian has Is 0.74 and that owned by Sonya is 0.69. In actual sense, 0.74 > 0.69 . However, if both pour their juice into the calibrated container, Brian's volume will be rounded to the nearest tenth as 0.7 and Sonya's (0.69) will also be rounded to 0.7.

But in actual sense, Brian has more Juice than Sonya.

A shadow 12 meters long is cast by a fir tree that is 16 meters tall. What is the length of the shadow cast by a nearby ash tree that that is 8 meters tall?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer: 5 m

Step-by-step explanation:

Given

Length of 16 m fir tree is 12 m

length of the ash tree is 8 m

Suppose x is the length of the ash tree

angle [tex]c[/tex] made by fir and ash tree will be same as shown in figure

[tex]\Rightarrow \tan c=\dfrac{16}{12}=\dfrac{8}{x}\\\\\Rightarrow x=8\times \dfrac{12}{16}\\\\\Rightarrow x=5\ m[/tex]

The spirit club is making school jackets to sell. The cost C (in dollars) for silkscreening supplies and jackets is C= 15x + 300 , where x is the number of jackets. The club sells each jacket for $35. How many jackets must the club sell to break even?

Answers

Answer:

They must sell 18 jackets to break even

A gift box measures 8 inches by 10 inches by 3 inches. What is the surface area of the box?

Answers

Answer:

Step-by-step explanation:

so true bestie

Answer:268

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

35 cm ^2

Step-by-step explanation:

5x5 = 25

5-3 = 2

5x2 = 10

25+10 = 35cm^2

Answer:

10 x 2 = 20

3 x 5 = 15

_________+

35

HELPP find the value of x. NO LINKS PLEASE

Answers

Answer:

x= 114°

Step-by-step explanation:

It has four sides so it should add up to 360°

So add> 101+100+45= 246

Then subtract> 360- 246= 114°

Solve for x and complete the table

Answers

Answer:

x = 2

Table:

0,0

3,9

-2,-6

4,12

Step-by-step explanation:

distribute

3(2x+1)=15

6x+3 = 15

subtract 3 from both sides

6x + 3 = 15

6x + 3 - 3 = 15 - 3

simplify

6x= 12

divide both sides by 6

answer= x=2

Find the product 8/6n-4 • (9n^2-4).
An expression can be written in rational form by writing it as a fraction with a denominator of

Answers

Answer:

The correct answer is 1 for the first part, and 12n+8 for the second part.

Step-by-step explanation: I got them wrong for you guys. Edge 2021.

The product of the expression given is 12n + 8.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is ([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4)

Multiplying the numerators together,

([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4) = [8 (9n² - 4)] / [6n - 4]

                         = {8 [ (3n)² - (2)² ] } / {6n - 4}

We have an algebraic identity, a² - b² = (a + b) (a - b)          

Using this identity (3n)² - (2)² = (3n + 2) (3n - 2)

And the expression in the denominator, 6n - 4 = 2 (3n - 2)

([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4) = [8 (3n + 2) (3n - 2)] / [2 (3n - 2)]

The expression 3n - 2 gets cancelled as it lies in both numerator and denominator.

([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4) = [8(3n + 2)] / [2]

                         = 4 (3n + 2)      

                         = 12n + 8

Hence the product is 12n + 8.

Learn more about Expressions here :

https://brainly.com/question/16804733

#SPJ2

Is 0.93 greater than 0.91

Answers

Answer:

yes

Step-by-step explanation:

it's closer to 1.00 ,like 93 is bigger than 91

figure out by using substitution

5x + 2 y = 7
4x + y = 8​

Answers

Answer:

(3, - 4 )

Step-by-step explanation:

Given the 2 equations

5x + 2y = 7 → (1)

4x + y = 8 → (2)

Rearrange (2) expressing y in terms of x by subtracting 4x from both sides

y = 8 - 4x → (3)

Substitute y = 8 - 4x into (1)

5x + 2(8 - 4x) = 7 ← distribute and simplify left side

5x + 16 - 8x = 7

16 - 3x = 7 ( subtract 16 from both sides )

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into (3) for corresponding value of y

y = 8 - 4(3) = 8 - 12 = - 4

solution is (3, - 4 )

Complete the point-slope equation of the line through (1,3)(1,3)left parenthesis, 1, comma, 3, right parenthesis and (5,1)(5,1)left parenthesis, 5, comma, 1, right parenthesis. Use exact numbers. Y-3=y−3=y, minus, 3, equals

Answers

Answer:

y - 3 = -1/2(x-1)

Step-by-step explanation:

Given the coordinates (1, 3) and (5,1). The point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the required point

Get the slope

m = 1-3/5-1

m = -2/4

m = -1/2

Using the point (1,3), substitute

y - 3 = -1/2(x-1)

2(y-3) = -(x-1)

Hence the required equation is y - 3 = -1/2(x-1)

Answer:

y - 3 = -1/2(x-1)

Step-by-step explanation:

Khan

The cost of a pen at the office supply store is $2.65. The school store sells the pen for $3.45. How much does the school store markup the pen?

Enter the correct answer in the box.

$$

Answers

The pen is what ever when you subtract them

Which of the following is not a rational number?


Help please

Answers

A, because negative is not rational

If g(x) = 3x2 + 8 were shifted 5 units
to the right and 2 units down, what
would be the new equation, h(x)?


Give explanation

Answers

Answer:

g(x) = 3(x - 5)^2 + 6

Step-by-step explanation:

(x - k) moves it to the right

8 - 2 moves it 2 down

Select the correct answer.
William buys two bags of peaches and three bags of apricots for $17. Sylvia buys four bags of peaches and two bags of apricots for $22 from the same store. What is the cost of one bag of peaches?
A.
$3
B.
$4
C.
$5
D.
$7

Answers

The answer is B $4.

Explanation
Each bag of peaches is $4 4x4=$16
Each bag of apricots is $3 3x2=$6
$16+$6=$22

wer:

B 4

Step-by-step explanation:

the fraction 14/5 lies between what to whole numbers

Answers

14/5=2.8
It lies between 2 and 3

Answer:

2 and 3

Step-by-step explanation:

50% of what number is 15?

Answers

Answer:

7.5

Step-by-step explanation:

annsnsjdjdndnfbbrbdbtbfbfbfbt

Find bc to the nearest tenth

Answers

Answer:

BC ≈ 3.3

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan A = [tex]\frac{opposite}{adjacent}[/tex] , that is

tan20° = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{9}[/tex] ( multiply both sides by 9 )

9 × tan20° = BC , then

BC ≈ 3.3 ( to the nearest tenth )

Jenny counted the coins in her bank.

She had 4 times as many nickels as dimes.
She had 8 more quarters than nickels.
She had 52 dimes.
How many quarters did Jenny have in her bank?

A.
21

B.
64

C.
200

D.
216

Answers

Answer:

the top one is correct

Step-by-step explanation:

byee

In Waxahachie the library is 8 miles due to east of the post office and the zoo is 6 miles due to south of the library.What is the distance from the post office to the zoo? Round to the nearest tenth one decimal place

Answers

Answer:

10 miles

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6^2 + 8^2

36 + 64 = 100

square root = 10

Help plz this is my last question of my quiz anybody know the answer don't send file plz ? Question 24

Answers

Answer:

4 units count the boxes from a to b and that's 4

please help me stat! im not sure on what to do.

Answers

A=yes
B=no
C=no
D=yes

Find cos(3) in the triangle​

Answers

B I think but I’m pretty sure

Answer:

I'm pretty sure its a, if not b

Ron is building a shed in the shape of a right circular cylinder. If the height of the shed is 14 feet and the radius is 72 inches, what is the volume of the shed? (Use straight pi equals 3.14)

A) 1,582.56 feet cubed
B) 3,165.12 feet cubed
C) 395.64 feet cubed
D) 496.25 feet cubed

Answers

Answer:

D) 496.25 ft³

Step-by-step explanation:

V = πr²h

3.14 × 14² × 72

One week a student exercised 2 hours at school and another of an hour at 1/4 home. If of the student's total exercise came from playing soccer, how 1/6 much time did the student spend playing soccer that week? Enter your answer in hoursdo not include units in your answer .

Answers

Answer: 3/8

Step-by-step explanation:

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