mdbk51 mdbk51
  • 24-03-2021
  • Mathematics
contestada

If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?

Respuesta :

hell034
hell034 hell034
  • 24-03-2021

Answer:

10

Step-by-step explanation:

2x - 3y = 24 ------ (1)

3x + 4y = 2 ------ (2)

(1) × 4,

8x - 12y = 96 ------ (3)

(2) × 3,

9x + 12y = 6 ------ (4)

(3) + (4)

17x = 96 + 6

= 102

x = 102 ÷ 17

= 6

Sub x = 6 into (2),

3(6) + 4y = 2

18 + 4y = 2

4y = 2 - 18

= -16

y = -16 ÷ 4

= -4

Therefore,

x - y = 6 - (-4)

= 6 + 4

= 10

i hope this helps you !!

Answer Link

Otras preguntas

Covalent bonds are in the air you breathe and the water you drink. How are covalent bonds formed ? A) between atoms with more electrons than protons B) between
What is the estimate of the product of 68×21
some soldiers in the early Roman army rode to the battlefield, dismounted, and then fought on foot. Did the later Roman army ever develop a cavalry?
Which sentence best describes the effect of the Articles of Confederation on the government? It granted sovereignty to each state. It created a powerful central
8.2 is 10% of what number
The Aztecs adapted to their environment mainly by
Aubrey was arrested outside of a store that had been robbed. Police say security cameras show her leaving the store at the time of the crime. What type of case
find f(-2) for the function f(x)=x^2-6
good thesis statement on rumors any suggestions pls thank you
A ski jumper competing for an Olympic gold-medal wants to jump a horizontal distance of 135 m the take off point of the ski jump is that a height of 25 m with w