**Equations, that have same roots** are called equivalent. In particular, equations that don’t have roots are equivalent. Example 1. Equations {x}+ {2}= {7} x +2 = 7 and {2} {x}+ {1}= {11} 2x +1 = 11 are equivalent, because each of them has unique root 5.

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Which equation is equivalent to log3 x+5 2?

Rewrite log3 (x+5) = 2 log 3 (x + 5) = 2 in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b ≠ ≠ 1 1, then** logb(x) = y log b (x) = y is equivalent to by = x b y = x**. 32 = x+5 3 2 = x + 5

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How do you set equations equal to each other?

**Following are answers to the practice questions:**

- The answer is x= 2, y = 1. The coefficients of the y terms are opposites of one another, so when you add the two equations together, you get 7 …
- The answer is x = 4, y = –3. Multiply the terms in the first equation by 2 and the terms in the second equation by 3. …
- The answer is x = –1, y = 3. The second equation is already solved for y. …

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How do you find the equivalent expression?

equivalent expressionshave the same value but are presented in a differentformat using the properties of numbers eg, ax + bx = (a + b)x are equivalent expressions. Strictly, they are not “equal”, hence we should use 3 parallel lines in the”equal” rather than 2 as shown here.

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Which expressions are equivalent to?

Two mathematical expressions are equivalent if and only if they result in the same value for all matching values of the variables. Therefore, we can determine if two expressions are equivalent by plugging in many different matching values of the variables to make sure we get the same value out of each expression in every instance.

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Which equation is equivalent to log2n 4?

The correct answer is B) 16.

What is equivalent equation example?

For example, if we take 3x + 12 = 7x – 2 and subtract 3x from both sides and add 2 to both sides, we get 14 = 4x. In doing this, we haven’t changed the solution set, so 3x + 12 = 7x – 2 and 14 = 4x are equivalent equations.

What is equivalent calculator?

Equivalent Expression Calculator is a free online tool that displays the equivalent expressions for the given algebraic expression. BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.

How do you solve equivalents?

To solve equivalent equations, follow these five steps:Step 1 – Use the distributive property, if necessary.Step 2 – Combine like terms on the same side of the equal sign, if needed.Step 3 – Collect the variable being solved for on the same side of the equation.More items…•

What does equivalent equation mean in math?

Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent. Systems of equations that have the same solution are called equivalent systems.

What fraction is 2 4 equivalent to?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.

What is the equivalent of 8 12?

2/32/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

What is a equivalent to 2 5?

Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

How can you tell if two equations are equivalent?

0:561:51Determine if two equations are equivalent – YouTubeYouTubeStart of suggested clipEnd of suggested clipWe have the equations. 2x. Minus 5 equals 1 and 2 times X plus 2 equals 10 and the help out supposeMoreWe have the equations. 2x. Minus 5 equals 1 and 2 times X plus 2 equals 10 and the help out suppose that I give us the solution set of x equals 3 and say check to see if this is equivalent to both of

How do you equate an equation?

Suppose we have a pair of simultaneous equations, 2x − y = −2 and x + y = 5. We can solve these equations by taking the sum of the left hand sides and equating it to the sum of the right hand sides as follows: 2x − y + (x + y)=3x = 3. So, x = 1.

What are equivalent functions?

Two functions are equal if they have the same domain and codomain and their values are the same for all elements of the domain.

How do you know if functions are equivalent?

We say two functions f and g are equal if they have the same domain and the same codomain, and if for every a in the domain, f(a)=g(a).

How do you know if two equations are equivalent?

Two equations can be determined to be equivalent if they have the same solution. The two equations can also be determined to be equivalent if one…

What does equivalent equation mean?

An equivalent equation means the equation has the same solution as another equation. The two equations do not have to look alike. Sometimes an eq…

What are some examples of equivalent equations?

Some examples of equivalent equations in real-life could be adjusting a recipe to feed more people and comparing the prices of different weights of…

What is the system of equations that have the same solution called?

Systems of equations that have the same solution are called** equivalent systems. ** Given a system of two equations, we can produce an** equivalent ** system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself. In contrast, we can be sure that two systems of equations are not equivalent …

Is system A the same as system B?

Whoa! Look at that! This system is the same as System A, which means system A is** equivalent ** to System B.

Can two systems of equations be equivalent?

In contrast,** we can be sure that two systems of equations are not equivalent ** if we know that a solution of the one is not a solution of the other.

Video Transcription

For example: Are the following equations, x = 7 and x + 2 = 9, equivalent? The solution: Our number 7 is the single possible solution of the equation x + 2 = 9.

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Then again, our equation x = 1 has just one single solution, and that is 1.

What is Camila’s 2nd equation?

Camila’s is equivalent. The 1st equation matches the 2nd equation in the original. And, Camila’s 2nd equation is** the original 1st equation multiplied by -8. ** We are allowed to multiply equations by any value as long as we do the entire equation.

What is the solution point of an equation?

The solution point is** the point that satisfies both equations, that is, the x and y that make the two sides equal in both equations. ** So if you add things that are equal to things that are equal, the result must be equal, so the same solution must satisfy the new equation.