Question

Help on Algebra work, please.

Answer 1

Hello from MrBillDoesMath!

Answer:  NO points of intersection. The two lines are parallel

Discussion:

Rewrite the equations so the variables and constants line up vertically

x - 2y + 8 = 0

x - 2y  -6  =  0     (I added "x" to both sides of the second equation)

Subtract the bottom equation from the the top one:

(x - 2y + 8) - ( x - 2y -6) = 0 or

x - 2y + 8 - x + 2y + 6 = 0  or

(x-x) + (-2y +2y) + (8 + 6) = 0 or

0 + 0 + 14 = 0

14 = 0 !

No solution exists.  (Another approach: What is the slope of each line? Hint: 1/2. Since the slopes are the same the lines are parallel and have no points of intersection)

Thank you,

MrB