Without graphing, classify the system 2x + y = -3 and x - 5y = 5.

1. Rewrite both equations in slope-intercept form: the first becomes y equals -2x minus 3, and the second becomes y equals one-fifth x minus 1. 2. Compare the slopes: -2 and one-fifth are different, so the lines are neither parallel nor coincident. 3. Lines with different slopes always intersect at exactly one point. 4. A system whose lines intersect has one solution and is classified as consistent and independent. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.1 Solve Systems of Equations by Graphing_