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Does a multi-step equation always sometimes or never have a solution?

Anonymous

∙ 8y ago

Updated: 4/28/2022

Does a multi-step equation sometimes, always, or never have a solution?

Kamryn Renner ∙

Lvl 9

∙ 3y ago

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Yes

Wiki User

∙ 9y ago

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Q: Does a multi-step equation always sometimes or never have a solution?

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Continue Learning about Algebra

Is one solution to a real-world problem involving a quadratic equation always extraneous?

No. Sometimes they are both extraneous.

How many solutions are there to the equation 0x equals 4?

None.Whatever number you substitute for 'x', 0x will always be 0,and the equation will always become [ 0 = 4 ].No value of 'x' can make [ 0 = 4 ]. There is no solution.

What is it called when an equation is always true?

In math, an equation that is always true is called an identity.

Why are there usually two solutions to a quadratic equation?

In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.

What is a linear equation that is not true for even one real number and therefor has no solution?

A linear equation in one variable. Case 1: A conditional equation: True only for a value of the variable. Ex. x + 2 = 3, True only when x is 1. Case 2: Identity Equation: Always true. Ex. x + 2 = x + 2, True for any value of x. Case 3: x + 1 = x + 5, False for any value of x. We call a solution any value of the variable that satisfies the equation, meaning if we replace the variable with that value, the equation becomes a true statement. Example: -2(x -3) = 8 - 2x -2x + 6 = 8 - 2x (add 2x and subtract 6 to both sides) 0 = 2 False. Since this equation, which is equivalent to the original equation, is false, then the original equation is also false. Meaning, there is no real number for x that could satisfy the equation. So there is no solution to the equation.

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Related Questions

Do equation always sometimes or never has one solution?

an equation ---------- has a soultion? a)always B)sometimes C)never

Is one solution to a real-world problem involving a quadratic equation always extraneous?

No. Sometimes they are both extraneous.

Why is the solution to an equation not always the answer to a question?

identify the property and equation that satisfies the following statement: the solution of an equation is x=-2.

What does an equation always include?

included would be the solution...

Is the solution to an equation any number that makes the equation true?

not always but most of the time yes

Does an equation always have one solution?

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

What is the word for a number that makes an equation true?

Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.

If an equation is an identity what is true about the solution?

It is true for all permissible values of any variables in the equation. More simply put, it is always true.

What does no solution mean in algebra?

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.)

When is it possible for an ordered pair to be the solution of more than one equation?

Always. Every ordered pair is the solution to infinitely many equations.

Why do you have to check the solutions when you have to solve radical equations?

Checking your solution in the original equation is always a good idea,simply to determine whether or not you made a mistake.If your solution doesn't make the original equation true, then it's wrong.

How many solutions are there to the equation 0x equals 4?

None.Whatever number you substitute for 'x', 0x will always be 0,and the equation will always become [ 0 = 4 ].No value of 'x' can make [ 0 = 4 ]. There is no solution.

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