Only a linear equation in one variable x , which is an equation of the form ax + b = 0, (where a is different than 0), has only one solution. The solution is: x = -b/a
identify the property and equation that satisfies the following statement: the solution of an equation is x=-2.
Always. Every ordered pair is the solution to infinitely many equations.
included would be the solution...
No, an equation with integer coefficients does not always have an integer solution. For example, the equation (x + 1 = 2) has an integer solution, (x = 1), but the equation (2x + 3 = 1) has no integer solution since (x = -1) is not an integer. Solutions depend on the specific equation and its constraints, and rational or real solutions may exist instead.
Yes and sometimes it can have more than one solution.
an equation ---------- has a soultion? a)always B)sometimes C)never
Does a multi-step equation sometimes, always, or never have a solution?
identify the property and equation that satisfies the following statement: the solution of an equation is x=-2.
included would be the solution...
Always. Every ordered pair is the solution to infinitely many equations.
An equation can have zero solutions, one solution, two solutions, or many solutions. A solution is any number that, when replaced into the equation, will give an equality. An example of an equation without a solution is x = x + 1. No matter what number you use for "x", the right part will always be one more than the left part. Therefore, the equation has no solution. (Also, if you subtract "x" from each side, you get the equation 0 = 1, which is obviously false.)
No. Sometimes they are both extraneous.
No, an equation with integer coefficients does not always have an integer solution. For example, the equation (x + 1 = 2) has an integer solution, (x = 1), but the equation (2x + 3 = 1) has no integer solution since (x = -1) is not an integer. Solutions depend on the specific equation and its constraints, and rational or real solutions may exist instead.
not always but most of the time yes
Yes and sometimes it can have more than one solution.
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
A one solution equation is an equation that has exactly one unique solution. For example, the equation (2x + 3 = 7) can be solved by isolating (x): subtract 3 from both sides to get (2x = 4), and then divide by 2 to find (x = 2). This equation has only one solution, which is (x = 2).