science physics

# What does it mean to solve an equation?

Last Updated: 11th April, 2020

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In general, if we have an equation that has justone variable, such as x, then "solving the equation"means finding the set of all values that can be substitutedfor the one variable to produce a valid equation. Thus, tosolve.

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Also question is, what does it mean to find the solution of an equation?

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

Also Know, why do we solve equations? An equation is the mathematical representation ofthose two things which are equal, one on each side of an 'equals'sign. Equations are useful to solve our daily lifeproblem. All chips, which we use in these machines based onmathematical equations and algorithms. We use theinternet to look up the information.

Just so, what is your equation means?

In an equation, the quantities on bothsides of the equal sign are equal. That's themathematical meaning of equation, but equation canalso be used in any number of situations, challenges, or efforts tosolve a problem. An equation is a statement of theequality of two quantities.

How do you check the solution of an equation?

To check if a given value is a solution to anequation:

1. Evaluate the left-hand side expression at the given value toget a number.
2. Evaluate the right-hand side expression at the given value toget a number.
3. See if the numbers match.

Professional

## What is the definition of infinitely many solutions?

A system will have infinitely many solutions ifeach equations refers to the same line.

Professional

## What is the solution to the inequality?

"Solving'' an inequality means finding all of itssolutions. A "solution'' of an inequality is anumber which when substituted for the variable makes theinequality a true statement. When we substitute 8 for x, theinequality becomes 8-2 > 5. Thus, x=8 is asolution of the inequality.

Professional

## What are coefficients?

A number used to multiply a variable. Example: 6z means6 times z, and "z" is a variable, so 6 is a coefficient.Variables with no number have a coefficient of 1. Example: xis really 1x. Sometimes a letter stands in for thenumber.

Explainer

## What is the solution of a function?

A real number x will be called a solution or aroot if it satisfies the equation, meaning . It is easy to see thatthe roots are exactly the x-intercepts of the quadraticfunction , that is the intersection between the graph of thequadratic function with the x-axis. a<0.

Explainer

## What are the solutions?

A solution is a mixture of one substancedissolved in another so the properties are the same throughout. Asolution is composed of a solute and the solvent. The soluteis the substance being dissolved and the solvent is the part of thesolution that does the dissolving. The solute is ofmolecular size.

Explainer

## What does solving numerically mean?

Solving something numerically means youuse approximations that make a problem easier to solve.However, you can use methods that are known to give you somethingthat is close to the answer, a numerical approximation.Typically such methods use approximations and computerpower.

Pundit

## How do you solve a system of equations algebraically?

Step 1: Add the two equations.
1. Step 2: Solve for x.
2. Step 3: To find the y-value, substitute in 3 for x in one ofthe equations.
3. Step 4: Solve for y.
4. Step 5: Identify the solution as an ordered pair.
5. What if adding or subtracting does not eliminate a variable?Example. 3x – y = 8. x + 2y = 5.

Pundit

## How do you know if an equation has no solution?

Explanation: When finding how manysolutions an equation has you need to look at theconstants and coefficients. The constants are the numbers alonewith no variables. If the coefficients are the sameon both sides then the sides will not equal, therefore nosolutions will occur.

Pundit

## What is an equation example?

An equation is a mathematical sentence that hastwo equal sides separated by an equal sign. 4 + 6 = 10 is anexample of an equation. Coefficients are used inmultiplication equations. For example, 12 is thecoefficient in the equation 12n = 24. A variable is a letterthat represents an unknown number.

Pundit

## What makes up an equation?

In mathematics, an equation is a statement thatasserts the equality of two expressions. Solving an equationcontaining variables consists of determining which values of thevariables make the equality true.

Pundit

## What is the mean of precaution?

A precaution is a careful action you make inadvance. You might want to take the precaution of bringinglots of water and sunblock if you're going on a desert hike.Precaution means exactly what it sounds like. The prefixpre- means before, and caution means carefulness in the face ofdanger.

Teacher

## What is linear equation in maths?

A linear equation is any equation that canbe written in the form. ax+b=0. where a and b are real numbers andx is a variable. This form is sometimes called the standard form ofa linear equation.

Teacher

## What are the rules to solve an equation?

A General Rule for Solving Equations
• Simplify each side of the equation by removing parentheses andcombining like terms.
• Use addition or subtraction to isolate the variable term on oneside of the equation.
• Use multiplication or division to solve for the variable.

Teacher

## Why do you isolate the variable?

Addition Property of Equality
In order to solve the equation, you isolate thevariable. Isolating the variable means rewriting anequivalent equation in which the variable is on one side ofthe equation and everything else is on the other side of theequation.

Teacher

## Why do we need simultaneous equations?

Simultaneous equations can be used whenconsidering the relationship between the price of a commodity andthe quantities of the commodity people want to buy at acertain price. An equation can be written that describes therelationship between quantity, price and other variables, such asincome.

Reviewer

## How do you solve an equation with two variables?

Method 1 Using the Substitution Method
1. Move the variables to different sides of the equation.
2. Divide both sides of the equation to "solve for x."
3. Plug this back into the other equation.
4. Solve for the remaining variable.
5. Use the answer to solve for the other variable.
6. Know what to do when both variables cancel out.

Reviewer

## How can Algebra be used in real life?

The formulas used to calculate that interest arebuilt using the language of algebra. Businesses have tofinance day-to-day operations as well as long term investments,like building a new factory or plant, and they do complexalgebraic calculations to decide the lowest cost method offinancing.

Reviewer

## How do you isolate a variable?

The basic technique to isolate a variable is to“do something to both sides” of the equation, such asadd, subtract, multiply, or divide both sides of the equation bythe same number. By repeating this process, we can get thevariable isolated on one side of the equation.

Supporter

## How do you simplify expressions?

Here are the basic steps to follow to simplify an algebraicexpression:
1. remove parentheses by multiplying factors.
2. use exponent rules to remove parentheses in terms withexponents.
3. combine like terms by adding coefficients.
4. combine the constants.

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11th April, 2020

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