Mathematics, 19.12.2019 03:31 avastanleyy

Determine the equivalent system for the given system of equations.

4x − 5y = 2
10x − 21y = 10

a. 4x − 5y = 2
3x − y = 4
b. 4x − 5y = 2
24x − 47y = 22
c. 4x − 5y = 2
10x + 3y = 15
d. 4x − 5y = 2
14x + 26y = 12

Answers: 1

Show answers

Answers

The equivalent system for the given system of equations is 4x − 5y = 2, and 10x − 21y = 10 is 4x − 5y = 2 and 24x − 47y = 22

We have to determine, the equivalent system for the given system of equations is 4x − 5y = 2, and 10x − 21y = 10.

According to the question,

System of equation; 4x − 5y = 2, and 10x − 21y = 10.

To determine the equivalent relation following all the steps given below.

From equation 1,

$4x - 5y = 2\\\\4x = 2 +5y\\\\x = \dfrac{2+5y}{4}$

Substitute the value of x in equation 2,

$10(\dfrac{2+5y}{4} )- 21y= 10\\\\10 + 25y - 42y = 10 \times 2\\\\10 -17y = 20\\\\-17y = 20-10\\\\-17y = 10\\\\ y = \dfrac{-10}{17}$

Substitute the value of y in equation 1,

$4x - 5(\dfrac{-10}{17}) = 2\\\\68x + 50 = 34\\\\68x = 34-50\\\\68x = -16\\\\x = \dfrac{-16}{68}\\\\x = \dfrac{-4}{17}$

The equation is equivalent to given relation which satisfies the value of x and y is,

$-47(\dfrac{-10}{17} )+24 (\dfrac{-4}{17})= 22\\\\\dfrac{470-96}{17} = 22\\\\\dfrac{374}{17} = 22\\\\22 = 22$

Hence, The equivalent system for the given system of equations is 4x − 5y = 2, and 10x − 21y = 10 is 4x − 5y = 2 and 24x − 47y = 22.

To know more about Equation click the link given below.

link

Answer from: castellon67

Step-by-step explanation:

4x-5y=2 ...(1)

10x-21y=10 ...(2)

(1)+2(2) gives

24x-47y=22

Answer from: Quest

With a continuous thought process.

Answer from: Quest

it can be to see completed examples before writing, in order to examine what makes for an effective piece. see how these intros give some context before posing the topic and lead naturally into the body paragraphs, where the evidence will be listed. you can imagine how the author has organized the rest of the piece.

"we buried my cousin last summer. he was 32 when he hanged himself from a closet coat rack in the throes of alcoholism, the fourth of my blood relatives to die prematurely from this deadly disease. if america issued drinking licenses, those four men—including my father, who died at 54 of liver failure—might be alive today. that is a good example piece some steps that are .

. writing something that happened to you

.read a book you like to get ideas from there

. lastly you can make a venn diagram

hope this plz make brainliest

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 12:30

Which equation can be simplified to find the inverse of y = 2x2?

Answers: 1

Answer

Mathematics, 21.06.2019 16:30

Aiden buys two bags of chips at $1.09 each and a 20 ounce soda for $1.20 at the gas station.he knows that the state tax is 5.5. how much change will he receive from a $5 bill?

Answers: 1

Answer

Mathematics, 21.06.2019 20:10

Which value of m will create a system of parallel lines with no solution? y= mx - 6 8x - 4y = 12

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry.how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.

Answers: 3

Answer

You know the right answer?

Determine the equivalent system for the given system of equations.

4x − 5y = 2
10x...

Questions