Step-by-step explanation:
[tex]17x - 2y = 25[/tex]
[tex]17x + 3y = 5[/tex]
Both equations have a [tex]17x[/tex] 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 [tex]y[/tex] terms:
[tex](17x - 2y) - (17x + 3y) = 25 - 5[/tex]
[tex](17x - 17x) + (-2y - 3y) = 20[/tex]
[tex]-5y = 20[/tex]
[tex]y = -4[/tex]
Finally, we can plug this value for [tex]y[/tex] into either of the two original equations to solve for [tex]x[/tex]:
[tex]17x - 2(-4) = 25[/tex]
[tex]17x + 8 = 25[/tex]
[tex]17x = 17[/tex]
[tex]x = 1[/tex]
This means the solution to the system of equations is [tex](1, -4)[/tex].
