Question

How many solutions are there in -2x+3y=7 and 2x-3y=-7

Answer 1

The system has Infinitely many solutions.

Step-by-step explanation:

We need to find how many solutions are there in:

$-2x+3y=7\\ 2x-3y=-7$

Let:

$-2x+3y=7\,\,\,eq(1)\\ 2x-3y=-7\,\,\,eq(2)$

Adding eq(1) and eq(2)

$-2x+3y=7\\ 2x-3y=-7\\-------\\0=0$

Since a constant term is equal to constant term, so the system has Infinitely many solutions.

Keywords: Identifying Number of Solutions

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