Question

If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution(s) to this system?

Part 2:
Solve the following system and show all of your work.
x − 2y = 14
x + 3y = 9

My answer is

Part 1:

If you came to the solution 1=3 it would mean that you either made a mistake or there are no solutions.

Part 2:

3x - 6y = 42
2x + 6y =18

5x= 60
x=12

12 + 3y = 9
3y = -3
y = -1

x=12 y=-1

Am I right? :)

Answer 1

No solutions exist

Answer 2

Ok, does part 2 look ok?

Answer 3

x - 2y = 14 -->(-1)
x + 3y = 9
-------------
-x + 2y = -14 (result of multiplying by -1)
x + 3y = 9
-------------add
5y = -5
y = -1

x - 2y = 14
x -2(-1) = 14
x + 2 = 14
x = 14 - 2
x = 12

check..
x + 3y = 9
12 + 3(-1) = 9
12 - 3 = 9
9 = 9 (correct)

yes you got them both correct :)

Answer 4

Thank you! :)

Answer 5

anytime :)