Question

how do i know if there is 1 solution, no solution, or infinite solutions?

Answer 1

i need to know this but i don't

Answer 2

1 solution: Different slopes
No solution: Same slope, different y-intercept
Infinite solution: Same slope and same y-intercept
I'm writing this on the assumption that you are talking about lines, and not parabolas and such.

Answer 3

If you can solve for x, there is one solution. If both sides of the equation are equal, for example 9x+3=9x+3, there are infinitely many solutions. If the solution is untrue, for example 7=8, 9=3, etc, there are no solutions.

Answer 4

Sorry, it doesn't necessarily have to be x. It can be any variable.

Answer 5

how about one solution

Answer 6

If you can work out the equation and find the value of the variable normally, it has one solution.

Answer 7

if like 6=6 does that have 1 solution

Answer 8

That would have infinitely many solutions, because both sides of the equation are the same.

Answer 9

how about 2=3 or 1=7

Answer 10

2 does not equal 3, nor does 1 equal 7. Both of the equations are false, so they have no solution.

Answer 11

how about this prob.5(6x+2)=3(10x−2)−2x

Answer 12

First you would use the distributive property to solve the parenthesis on each side. Then you would continue working out the equation until you come to a solution, whether it be finding the value of x or finding that there are an infinite amount of solutions or no solutions.

Answer 13

how many solutions is there/

Answer 14

1

Answer 15

\[5(6x+2)=3(10x-2)-2x\]Distributive property \[5(6x)+5(2)=3(10x)+3(-2)-2x\]Multiply \[30x+10=30x-6-2x\]Combine like terms on right side to get the two equations\[30x+10=28x-6\]Get the x's on the left side\[2x+10=-6\] Subtract the 10 over\[2x=-16\] Divide to get\[x=-8\] If you want to find the point where they meet, plug the x into one of the original equations.\[y=30(-8)+10\]\[y=-240+10\]\[y=-230\] So the point they meet would be \[(-8,-230)\]

Answer 16

LegendarySadist was faster.
But anyway, obviously it has one solution.

Answer 17

He left before I got mine in =(

Answer 18

Shame.