Question

. Jane is practicing solving systems of equations by inspection. She thinks that y = 5 6 x + 2 and y = 5 6 x – 2 would have exactly one solution. Is she correct? Why or why not?

Answer 1

No solution , The line's are parallel

Explanation:

Given set of equations are y = 56x + 2 and y = 56x - 2

If we observe carefully these lines are in the form of y=mx+c where m is the slope of the line and c is the y-intercept

Here both the line's have slope m = 56

We also know that two lines are parallel only if their slopes are equal ie m1=m2

Here the two line's have same slope, so the giventwo line's are parallel And they don't have a solution So jane is wrong.