Show that the following system of equations have unique solution :
`{:((i),7x-2y=3,(ii),3x+y=17,(iii),2x+5y=17,),(,22x-3y=16,,8x+11y = 37,,5x+3y=14,):}`
and also solve the system of equations in each case.

Explanation

To show that the given systems of equations have a unique solution and to solve them, we will follow these steps for each set of equations.

### Set 1:
Equations:
1. \( 7x - 2y = 3 \) (i)
2. \( 22x - 3y = 16 \) (ii)

**Step 1: Check for Unique Solution Condition**
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