Given:
Consider the equations are
[tex]3x+4y=7[/tex]
[tex]4x+3y=9[/tex]
To find:
The value of x-y.
Solution:
We have,
[tex]3x+4y=7[/tex] ...(i)
[tex]4x+3y=9[/tex] ...(ii)
Subtracting (i) from (ii), we get
[tex]4x+3y-(3x+4y)=9-7[/tex]
[tex]4x+3y-3x-4y=2[/tex]
[tex](4x-3x)+(3y-4y)=2[/tex]
[tex]x-y=2[/tex]
Therefore, the value of x-y is 2.