Question

Create an absolute value equation that has one solution. Explain why this equation has one solution plz.

Answer 1

y=|x|
y=0

this system only has 1 solution because they only intersect at 1 point... and it's the vertex of that absolute value graph...

Answer 2

it has to be a value equation like this one. 2|5x − 2| + 4 = 18 this one has two solutions though

Answer 3

how 'bout this?

|x| = 0

??

Answer 4

i think there needs to be more numbers

Answer 5

ok... i'm giving you the easiest ones for me to give....

Answer 6

how 'bout this....
|2x+4| - 3 = 2x + 10

Answer 7

that works but why does it only have one equation :)

Answer 8

see the slope of the left side of the = sign? it's slope is 2. the right side has slope of 2. what does that mean when two "lines" have the same slope and have different y-intercepts... they're parallel. but becuase the absolute value makes a line into a "V", it bends that line to go back up. that is the part that will intersect the line on the right side...
here is a picture of what i mean...