Question

Solve for x & y. 30x−42y=−6 and 5x−7y=−1

Answer 1

Um.. Both of those equations are the exact same. Divide both sides of the first equation by 6. You get:


`(30x - 42y)/(6) = (-6)/(6) \\ 5x - 7y = -1`

That is the exact same as the second equation. This system has an infinite number of solutions. 5x - 7y = -1 is a line, so basically every point on that line is a solution to the system.

For example,
`x = 0` and
`y = (1)/(7)` would work, but so would
`x = 1` and
`y = (6)/(7)`