Question

Part 1:
If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the system?
Part 2:
Solve the following system and show all of your work.
3y − 2x = 11
y + 2x = 9

Answer 1

part 1 means your equation is balanced.

Answer 2

Part 1: It means that the system of equations is always true regardless of what values the unknown variables take. Thus, you get infinite number of solutions for that system

Part 2: Add the two equaions:
3y - 2x + y+ 2x = 11 + 9
=> 4y = 20
=> y = 5
Substituting in second equation,
5 + 2x = 9
=> 2x = -4
=> x = -2
So, (x,y) = (-2,5)

Answer 3

thanks :)

Answer 4

Part 2: Add the two equaions: 3y - 2x + y+ 2x = 11 + 9
=> 4y = 20 => y = 5 Substituting in
second equation, 5 + 2x = 9 => 2x
= 4 => x = 2 So, (x,y) = (2,5)

Answer 5

Part 2: Add the two equaions: 3y - 2x + y+ 2x = 11 + 9
=> 4y = 20 => y = 5 Substituting in
second equation, 5 + 2x = 9 => 2x
= 4 => x = 2 So, (x,y) = (2,5)