Question

How do you determine whether a linear system has one solution, many solutions, or no solution when given y=4x+-3 and y= -1x+ -8?

Answer 1

Two linear equations with different slopes represent lines that intersect at exactly one location (and therefore have exactly one solution).

Explanation:

`y=4x+(-3)` is in slope-intercept form with a slope of `4`
`y=-1x+(-8)` is in slope-intercept form with a slope of `(-1)`

Since the slopes are not equal
these equations have exactly one solution.