Question

determine w/out graphing whether the system of equations has exactly one solution, no solutions, or infinite number of solutions
4x + 3y =8
6y = -8x +4

Answer 1

one of the visually easiest ways to solve a problem like this is to fix the equations into "y = mx + b" the slope intercept form

would you like to do that first ?

Answer 2

thank you i just did that I had bran freeze

Answer 3

Once you have them in either slope intercept, or point slope form you can find the answer by inspection.

Answer 4

paralell many solution

Answer 5

Is that for differential equations? It's a weird questions because they are both clearly specific linear lines.

Answer 6

No, it's for algebra 2 most likely.

Answer 7

Also, Nancy is wrong, sorry =(

Answer 8

All right, well ill be quiet then. :)

Answer 9

if the slopes are the same, then there are two cases.

1), they are the same line
algebraically, the two lines will look exactly the same
so there are infinitely many solutions since the "two lines"
intersect everywhere

2), they have the same slope but different y-intercept
algebraically, m is the same but b is different
they are parallel and never intersect, so there is no solution.

if the slopes are different, then they will intersect at some point.
so there will be exactly one solution.

Answer 10

I solve they are the same slope

Answer 11

Indeed, but they are not the same line. Two parallel lines that are not the same line will never intersect.

Answer 12

4x + 3y =8
y= -4/3x+2
6y = -8x +4 and y= -4/3x+2
yes the same slope is paraell
y=4/3x +2/3
y= -4/3x+2 and

Answer 13

I forgot the same no solution,if the same line than many solution polpak right