For this case we have the following system of equations:
[tex]-2x + 7y = 10\\3x + 7y = 2[/tex]
To subtract the second equation from the first we have
:[tex]-2x + 7y = 10\\- (3x + 7y = 2)[/tex]
Equivalent system:
[tex]-2x + 7y = 10\\-3x-7y = -2[/tex]
We add the equations:
[tex]-2x-3x + 7y-7y = 10-2[/tex]
Equal signs are added and the same sign is placed.
Different signs are subtracted the sign of the major is placed.
[tex]-5x = 8[/tex]
Thus, when we subtract the second equation from the first we have:
[tex]-5x = 8[/tex]
Answer:
[tex]-5x = 8[/tex]
