i need to know this but i don't
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.
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.
Sorry, it doesn't necessarily have to be x. It can be any variable.
how about one solution
If you can work out the equation and find the value of the variable normally, it has one solution.
if like 6=6 does that have 1 solution
That would have infinitely many solutions, because both sides of the equation are the same.
how about 2=3 or 1=7
2 does not equal 3, nor does 1 equal 7. Both of the equations are false, so they have no solution.
how about this prob.5(6x+2)=3(10x−2)−2x
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.
how many solutions is there/
\[5(6x+2)=3(10x-2)-2x\]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 \[(-8,-230)\]
LegendarySadist was faster. But anyway, obviously it has one solution.
He left before I got mine in =(