Question

I tried solving this system of equations and got no solution. Could someone see if they get a solution?

8x-2y=5
-12x+3y=7

Answer 1

(8x-2y=5)3
(-12x+3y=7)2

24x-6y=15
-24x+6y=14

15 = 14


There is no solution, the two lines are parallel.

Answer 2

Ah yes! That's what I thought. I hate how math questions don't state "And if there's no solution, explain why."

Instead they make you second guess your answer.

Answer 3

If you go into advance math, most problems WON'T have a solution.

Answer 4

Oh so than it becomes way more confusing. Yikes. Unfortunately, that's where I'm heading. Oh well.

Answer 5

If you rearrange both equations to the (slope-intercept) form
y=mx+b

you will find both have the same slope (m)

but different intercepts (b)

lines with the same slope are parallel , and hence can never intersect.

Answer 6

A solution to a system is/are the point(s) of intersection

Answer 7

I see, I see. Thank you for explaining that in detail! :)

Answer 8

:•)