Question

state whether or not the system is consistent and independent or consistent and dependent or inconsistent

4x+2y=8
2x+y=1

Answer 1

you can see that if you divide the top equation by two you get exactly the same equation for the second one, but half of 8 is not 1, but rather it is 4
therefore these lines are parallel and there is no solution

Answer 2

"inconsistant" is the word you want

Answer 3

thats what i thought

Answer 4

would it be because it does not have same slope or y intercept be a reason why also

Answer 5

both lines have the same slope, but they both have different y intercepts. therefore they are parallel, but not the same line

Answer 6

oh ok