opheliaj opheliaj
  • 14-12-2019
  • Mathematics
contestada

Which ordered pair is the solution to the system of equations? 3x – 2y = –9 , 4x + 3y = 22

Respuesta :

jimrgrant1 jimrgrant1
  • 14-12-2019

Answer:

(1, 6 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = - 9 → (1)

4x + 3y = 22 → (2)

Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate the x- term

9x - 6y = - 27 → (3)

8x + 6y = 44 → (4)

Add (3) and (4) term by term

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into either (1) or (2) and solve for y

Substituting in (2)

4(1) + 3y = 22

4 + 3y = 22 ( subtract 4 from both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Solution is (1, 6 )

Answer Link

Otras preguntas

Tornadoes are common in areas of flat plains because _____.
What's the percentage of 60% of 90 show the work??
Carbohydrates are built up from their basic building blocks by the
your mother accidentally touches a hot pan. what first aid will you do?
Which factor plays the biggest role in delaying the detection of childhood diseases? A. Overprotective parenting B. Multiple infections C. Lack of heal
The in the back of the eye is made up of millions of rods and cones
What is happening in this cartoon
Can anyone help me with this math promblem???? Thanks in advance.....If h = 13 units and r = 5 units, then what is the approximate volume of the cone shown abov
A doctor fails to detect or disclose painful birth defects in time to permit an abortion. Under what tort can the child sue?
How many times does 5.50 go into 60.50?