Question

Use elimination to solve the following system of
equations: 17x - 2y = 25
17x + 3y = 5

Answer 1

Explanation:

`17x - 2y = 25`

`17x + 3y = 5`

Both equations have a
`17x` term in them, so if we subtract the second equation from the first, it will eliminate those terms, allowing us to solve for the remaining
`y` terms:

`(17x - 2y) - (17x + 3y) = 25 - 5`

`(17x - 17x) + (-2y - 3y) = 20`

`-5y = 20`

`y = -4`

Finally, we can plug this value for
`y` into either of the two original equations to solve for
`x`:

`17x - 2(-4) = 25`

`17x + 8 = 25`

`17x = 17`

`x = 1`

This means the solution to the system of equations is
`(1, -4)`.