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 two properties are used to define matter? A.has mass and conducts heat B.has buoyancy and volume C.has mass and takes up space D.conducts energy
What number is 35 percent of 22
in scoole i need to know whats 14.6 divided by 2
Why was Juan Seguin important to the Texas revolution?
Why did Mesopotamian farmers set up irrigation systems
The National _______ Act of 1902, provided proceeds from the sale of public lands for the construction of dams, canals, and irrigation systems in sixteen Wester
What happened to a apple's weigh as the plane rose up toward the sky?
Which achievement was Giovanni Caboto, also known as John Cabot, known for? A. He reached North America before Columbus but was unable to prove that he had foun
FRACTIONS: 1 WHOLE MINUS 7/12 MINUS 1/4
There are 32 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital?