Solve the following pair of linear equations by the elimination method and the substitution method:(i) `x+y=5` and `2x -3y=4`(ii) `2x+4y=10` and `2x- 2y=2`(iii) `3x-5y -4=0` and `9x=2y+7` (iv) `x/2+(2y)/3=-1` and `x-y/3=3`

Explanation

Let's solve the given pairs of linear equations using both the elimination method and the substitution method step by step.

### (i) Solve the equations \( x + y = 5 \) and \( 2x - 3y = 4 \)

**Elimination Method:**

1. **Multiply the first equation by 2** to make the coefficients of \( x \) the same:
\[
...