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

that means there is infinite number of solutions. If it came out like 2 = 4, then there would be no solutions.

y + 2x = 9
y = -2x + 9
now sub -2x + 9 in for y in the other equation
3y - 2x = 11
3(-2x + 9) - 2x = 11 -- distribute through the parenthesis
-6x + 27 - 2x = 11 -- subtract 27 from both sides
-6x - 2x = 11 - 27 -- combine like terms
-8x = - 16 -- divide by -8
x = -16/-8
x = 2
now sub 2 in for x in either of the equations to find y
y + 2x = 9
y + 2(2) = 9
y + 4 = 9
y = 9 - 4
y = 5