Question

What is the result of subtracting the second equation from the first?
−2x+7y=10
3x+7y=2

Answer 1

For this case we have the following system of equations:

`-2x + 7y = 10\\3x + 7y = 2`

To subtract the second equation from the first we have

:
`-2x + 7y = 10\\- (3x + 7y = 2)`

Equivalent system:

`-2x + 7y = 10\\-3x-7y = -2`

We add the equations:

`-2x-3x + 7y-7y = 10-2`

Equal signs are added and the same sign is placed.

Different signs are subtracted the sign of the major is placed.

`-5x = 8`

Thus, when we subtract the second equation from the first we have:

`-5x = 8`

Answer:

`-5x = 8`