1. Solve linear equations x+y=2 and 2x+3y=4 using Substitution Method

Solution:
`x+y=2`

and `2x+3y=4`

Suppose,
`x+y=2 ->(1)`

and `2x+3y=4 ->(2)`

Taking equation `(1)`, we have

`x+y=2`

`=>x=-y+2 ->(3)`

Putting `x=-y+2` in equation `(2)`, we get

`2x+3y=4`

`2(-y+2)+3y=4`

`=>-2y+4+3y=4`

`=>y+4=4`

`=>y=4-4`

`=>y=0`

`=>y=0 ->(4)`

Now, Putting `y=0` in equation `(3)`, we get

`x=-y+2`

`=>x=-1(0)+2`

`=>x=0+2`

`=>x=2`

`:.x=2" and "y=0`