Question

Does anyone know how to tell how many solutions something has?
The equation is 2x=-10y+6, x=5y=3
Im not the best at math so if you could explain it in steps that would be amazing! fan and medal.

Answer 1

both of those are equations for a line

the solution to a system of two equations in x and y, is the value or point (x,y) where the lines cross, there they will both have the same x and y, and both equations work

Answer 2

lines can have 1,0,or infinity solutions

1 if they cross each other
0 if they are parallel
infinity if you have the same line written twice as a multiple of the other equation

Answer 3

overlapping lines intersect infinity times i guess

Answer 4

so how do i figure out the answer?

Answer 5

can you type those 2 equations again

Answer 6

2x=-10y=6, x+5y=3

Answer 7

the second has two = , not sure if that is right

Answer 8

Its not, i didnt realize my shift key got jammed.

Answer 9

so it is

2x = -10y + 6
x + 5 y = 3

there are a number of ways of figuring this out, you can graph them and see what it looks like without solving, a number of ways of solving , do you remember which way you have done maybe before?

Answer 10

i usually solved it, i tried graphing it once and was stuck, But i cant remember how to solve it. Its been awhile.

Answer 11

an easy way for 2 equations is to solve both of them for the same thing, x or y
ill solve for x on both

x = -5y + 3
x = -5y - 3

Answer 12

now you have x=both those things, so you can set them equal

x = -5y + 3
x = -5y - 3

so

-5y + 3 = -5y - 3 , add 5y to both sides
3 = -3

false statement, meaning no solutions to this one, the lines are parallel and never intersect

Answer 13

when you solve and get a false equality like that 3=-3, no solutions, parallel lines
if you get a true statement like 5=5, then infinite solutions, both are the same lines overlapping

Answer 14

otherwise , you will get a unique x and y, the point of intersection

Answer 15

so do u not have to do the other equation now?