Answer:
No unique solution or alternatively
An infinite number of solutions
Explanation:
Consider the two equations:
9x – 3y = -6 [1]
5y = 15x + 10 [2]
For equation [2] subtract 15x from both sides to get the x terms on the LHS:
- 15x + 5y = 1 [3]
Divide Equation [1] by 3:
3x - y = -2 [4]
Divided Equation [3] by 5
-3x + y = 2 [5]
Multiply Eq[5] by -1 to get
3x - y = -2 [6]
Since both equations [5] and [6] are the same, the original equations [1] and [2] are also the same and therefore we have a single equation in two variables which does not have a unique solution.
Therefore there is no unique solution or alternatively there are an infinite number of solutions