Question

Solve the following system by using graph paper or graphing technology.

3x – 2y = 7
9x – 6y = 3

What is the solution to the system?

No Solutions

Infinite Solutions

(3, 2)

(3, –2)

Answer 1

By dividing the second equation over 3, the system will be :
\[\LARGE \begin{cases}3x – 2y &= 7\\
3x – 2y &= \frac32 \end{cases}\]
So we will get :
\[\LARGE 7=\frac32\]
which is impossible !
So, there is no solution to this system !

Answer 2

Thank you very much.