Manan1789 Manan1789
  • 03-09-2021
  • Mathematics
contestada

If 2x + y = 23 and 4x – y = 19; find the value of x – 3y and 5y – 2x

Respuesta :

jimrgrant1 jimrgrant1
  • 03-09-2021

Answer:

- 20 and 31

Step-by-step explanation:

Solve the given equations simultaneously to find x and y

2x + y = 23 → (1)

4x - y = 19 → (2)

Adding the 2 equations term by term will eliminate y

6x + 0 = 42

6x = 42 ( divide both sides by 6 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (1)

2(7) + y = 23

14 + y = 23 ( subtract 14 from both sides )

y = 9

Then

x - 3y = 7 - 3(9) = 7 - 27 = - 20

5y - 2x = 5(9) - 2(7) = 45 - 14 = 31

Answer Link

Otras preguntas

which state capital is north of 40 degrees north latitude: Frankfort, denver, salt lake city, or columbus?
n^2+7n+15=5 show work please
why did the citizens of Richmond, Virginia feel upset about the actions at Fort Sumter ?
how do you write fraction 9/10 as a decimaland how to convert fractions into decimals
A rocket is launched from the ground. The function  h(t)= -4.9t^2 +180t   models the height of a rocket launcher from the ground t seconds after it is launched.
What substance is made during transcription and where does it occur
which state capital is north of 40 degrees north latitude: Frankfort, denver, salt lake city, or columbus?
Write down a sensible metric unit for measuring A) the distance from London to Paris B) the amount of water in a swimming pool
What substance is made during transcription and where does it occur
how do i make 24 using the numbers 11 6 10 2?