Question 78693: Absolute value equations have how many solutions? Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website! This depends upon the problem. USUALLY there are TWO solutions. If an absolute value is being compared to a POSITIVE number, then there will be TWO solutions.
Thus, x=8 is a solution of the inequality. On the other hand, substituting -2 for x yields the false statement (-2)-2 > 5. Thus x = -2 is NOT a solution of the inequality. Inequalities usually have many solutions. As in the case of solving equations, there are certain manipulations of the inequality which do not change the solutions.
For a system of two linear equations and two variables, there can be no solution, exactly one solution, or infinitely many solutions (just like for one linear equation in one variable). If the two equations are in standard form (both variables on one side and a constant on the other side), then the following are true:
In acid solutions, take the number of hydrogen atoms needed and add that same number of. to the side that needs hydrogen. In basic solutions, add one water molecule to the side that needs hydrogen for every hydrogen atom that’s needed. Then, to the other side of the equation, add as many. anions as water molecules used.
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These free systems of equations worksheets will help you prepare for your end of the year math exams. Also known as simultaneous linear equations, these pairs of equations may have one solution, no solutions, or infinitely many solutions. With these exercises, you will determine how many solutions there are for each system of equations.
If it's less than 0, if it's negative, we have no real solutions. Our solutions are going to be non-real involving that i value and the square root of negative 1. So now we're going to go through an example of solving a quadratic equation that has no real solution. So here's the equation 0 equals x squared minus 2x plus 2.