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If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.
How do you know how many solutions?
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
How many different solutions are there?
Solutions can be classified into 2 types on the basis of whether the solution is water or not. Aqueous Solution:- The solution in which any state of homogeneous compound completely dissolves in water, in which water acts as a solvent. Examples of this kind of solution are sugar/ salt in water, carbon dioxide in water.
How many solutions can a problem have?
When a problem has infinite solutions, you’ll end up with a statement that’s true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there’s no variable in sight. Therefore we can conclude that the problem has infinite solutions. You can solve this as you would any other equation.
How do you find solutions?
Determine whether a number is a solution to an equation. Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
What is the formula of infinitely many solutions?
An infinite solution has both sides equal. For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an infinite solutions formula or method, you’ll get both sides equal, hence, it is an infinite solution.
What are the 9 types of solutions?
Terms in this set (9) Solid Solute (Liquid) vinegar. Liquid Solute (Liquid) Salt water. Gas Solute (Liquid) Soft drink. Solid Solute (Gas) Mothballs. Liquid (Gas) humidity. Gas Solute (Gas) air. Solid Solute (Solid) gold-silver. Liquid Solute (Solid) dental filings.
What are the 3 types of solution?
There are three types of solutions that can occur in your body based on solute concentration: isotonic, hypotonic, and hypertonic.
How many types of solutions are there class 9?
Types of Solution Any state of matter (solid, liquid, or gas) can act both as a solute or as a solvent during the formation of a solution. Therefore, depending upon the physical states of solute and solvent, we can classify solutions in nine different types.
How many solutions does each equation have?
If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.
How many solutions does the equation 2x 5y 8 has?
Hence, there is an infinite number of solutions to this equation. This discussion on The linear equation 2x + 5y = 8 has:a)A unique solutionb)Infinitely many solutionc)No solutiond)Two solutionCorrect answer is option ‘B’. Can you explain this answer? is done on EduRev Study Group by Class 9 Students.
What does it mean to have one solution?
So far we have looked at equations where there is exactly one solution. No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
What are 5 ways to solve problems?
5-steps to Problem Solving Define the problem. Gather information. Generate possible solutions. Evaluate ideas and then choose one. Evaluate.
Which equation has no solution?
A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
How many solutions does a first equation have?
An independent system of equations has exactly one solution (x,y) .
What is the solution if 0 0?
For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.
How many solutions does a quadratic equation have?
As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
How do you do solutions in math?
A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14. The solution set of y2 + 6 = 5y is {2, 3} because 22 + 6 = 5(2) and 32 + 6 = 5(3).
What are the 10 examples of solution?
Give 10 examples of true solution sucrose dissolved in water. salt solutions. lemon juice. acidic acid in water. glucose dissolved in water. urea in water. all organic compounds in water. copper sulphate in water.
How many types of solutions are there class 12?
CBSE NCERT Notes Class 12 Chemistry Solutions. Solutions can be broadly categorized into two types: Homogeneous solutions: Solutions with uniform composition and properties throughout the solution are known as homogenous solution.
What is mixture Class 9?
A mixture is a substance which consist of two or more elements or compounds not chemically combined together. For Example Air is a mixture of gases like oxygen,nitrogen,argon,carbon dioxide etc. The various substance present in a mixture are called as its constituents or components.
What are the 2 types of solutions?
Based on the whether the solvent is water or not, solutions are of two types. Aqueous solutions: These solutions have water as the solvent. Examples of such solutions are sugar in water, carbon dioxide in water, etc. Non-Aqueous Solutions: These solutions have a solvent that is not water.
What is solution and its types?
A solution is a homogeneous mixture of solvent and solute molecules. A solution can be liquid, solid, or gaseous. Further, a solution can be a mixture of liquids, gases and solids. In some cases, like seawater, the solution consists of a great many different types of solutes, like salts, oxygen, and organic molecules.
What are the kinds of solution?
13.1: Types of Solutions – Some Terminology Solution Solute Examples gas gas air, natural gas liquid gas seltzer water (CO2 gas in water) liquid liquid alcoholic beverage (ethanol in water), gasoline liquid solid tea, salt water.
