Question

I need help with algebra but i don't want you to answer it for me.

Answer 1

i need to provide two equations with no solution, infinite solutions, and one solution.

Answer 2

like i want to know how to figure this out

Answer 3

one way is write down the equations for 2 different lines
if the lines cross, those 2 equations have 1 solution (where the lines meet)

if the lines are parallel, they never meet, and there is no solution

Answer 4

if the 2 equations are the same line, they lie on top of each other and "meet" an infinite # of times... so an infinite number of solutions

Answer 5

But how would I write that out like how do I write the equation

Answer 6

do you know how to write the equation of a line in the form
y = mx + b
?

Answer 7

oh yeah okay so say i have 3,4 so i make that y=3x+4?

Answer 8

ok, if you have the line
y = 3x + 4

its slope is 3. If you make a different line with a different slope, they will meet somewheres.

Answer 9

sweet thanks man i just wanted to understand instead of just letting people do it for me ya know i want to major in engineering after highschool

Answer 10

you can also put the equations into standard form:
change
y = 3x + 4
to

-3x + y = 4 (add -3x to both sides)
or
3x - y = -4 (multiply both sides and all terms by -1)

now say you want a line that is parallel to y = 3x +4
you keep the same slope =3 but change the 4, say
y = 3x + 1

put that into standard form to get
3x - y = -1

now you have two equations with no solution
3x - y = -4
3x - y = -1

Answer 11

thanks guy