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What do we mean by solution?

What do we mean by solution?

A solution is a homogeneous mixture of two or more substances. A solution may exist in any phase. A solution consists of a solute and a solvent. The solute is the substance that is dissolved in the solvent. Using air as an example, oxygen and carbon dioxide gases are solutes, while nitrogen gas is the solvent.

What is solution of linear equation?

The solutions of linear equations are the points at which the lines or planes representing the linear equations intersect or meet each other. A solution set of a system of linear equations is the set of values to the variables of all possible solutions.

What is solution explain with example?

A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm. Common examples of solutions are the sugar in water and salt in water solutions, soda water, etc. There is particle homogeneity i.e. particles are evenly distributed.

What is a no solution equation?

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 is a equation example?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.

What does it mean to find the solution to an equation?

In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equality sign. When seeking a solution, one or more free variables are designated as unknowns.

How can I find the solution of the equation?

To solve for, you must first combine the ‘s on the right side of the equation. This will give you. Then, subtract and from both sides of the equation to get. Finally, divide both sides by to get the solution.

What are the solution steps in an equation?

Simplify both sides of the equation by using the distributive property and combining like terms,if possible.

  • Move all terms with variables to one side of the equation using the addition property of equations,and then simplify.
  • Move the constants to the other side of the equation using the addition property of equations and simplify.
  • What does solve the equation Mean?

    In general, if we have an equation that has just one variable, such as x, then “solving the equation” means finding the set of all values that can be substituted for the one variable to produce a valid equation.