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 Of the following represnt the range of the function y=-1/2(x+10)^2+14? 1) y>=-5 2)y>=10 3) y<=7 4) y<=14, Explain plz
plz help quick.........................................
Consider the formula S = sf/FwhereS represents sweetness of a cake,• s represents the amount of sugar in a cake,f represents the amount of frosting and• F rep
[tex]18 {x}^{2} - x - 39 [/tex]How to solve this ​
Which nuclear process does the model illustrate
718.521 rounded to the nearest one
Devoir maths Ecris les multiple de 14 compris enter 1et100​
Idk what to do.And this is due tomorrow
How many square shaped tiles of area 25 m2 would you need to cover a rectangular plot of area 700 m2? A. 25 B. 28 C. 175 D.17500
When Steve woke up. His temperature was 102º F. Two hours later it was 3º lower. What was his temperature then?