Question

Part 1:
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

Answer 1

1) You will come to a conclusion that there's no solution to the system :)

Answer 2

2) You can solve by elimination.

Answer 3

Subtract the equations and solve for \(y\), then solve for \(x\).

Answer 4

@ParthKohli do you mind helping me solve by elimination? I don't know how to do these

Answer 5

Subtract both equations:

\( \color{Black}{\Rightarrow -5y = 5}\)

\( \color{Black}{\Rightarrow y = -1}\)

Now as you have solved for \(y\), you can solve for \(x\) by substituting y in any equation.

Answer 6

\( \color{Black}{\Rightarrow x + 3(-1) = 9 }\)
Can you manage now?

Answer 7

I don't know what to do from here...

Answer 8

\( \color{Black}{\Rightarrow x + (-3) = 9 }\)

\( \color{Black}{\Rightarrow x - 3 = 9 }\)

Now?

Answer 9

No, I don't know the steps or process. Plus, I have to get to 14 in the first equation?

Answer 10

No need.

Answer 11

? hold on i'll show you what I put