Can equations that appear to be different be equivalent?

Can equations that appear to be different be equivalent?

If “x” is the same for both equations, then they are equivalent. If “x” is different (i.e., the equations have different roots), then the equations are not equivalent.

How do you do equivalent expressions?

You can write equivalent expressions by combining like terms. Like terms are terms that have the same variables raised to the same powers. For example, the list shows some pairs of like terms. the new coefficient is 9.

Can variables have different values in the same equation?

But, the idea that multiple variables can not equal the same value in algebra is simply not true. In fact, it is extremely common in algebra and something that every algebra student will come across when dealing with graphing equations, solving systems of equations, and performing substitution.

How do you know if two expressions are equivalent?

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

How do you know if an expression is equivalent?

Do these two expressions represent equivalent expressions explain why or why not 36 20 4 9 5?

Do these two expressions represent equivalent expressions explain why or why not 36 20 4 9 5? Sample Response: Yes, the expressions are equivalent. If you sum 36 + 20, you get 56. If you simplify 4(9 + 5), you also get 56.

What math statement says two expressions are equal?

equation
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

What does it mean for two expressions to be equivalent?

Consider the expressions 32+1 and 5×2 . Both are equal to 10 . All these expressions have the same value, whenever the same value is substituted for x . That is, they are equivalent expressions. Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

What does it mean for two equations to be equivalent?

Two systems of equations are equivalent if they have the same solution(s). Systems of equations that have the same solution are called equivalent systems.

When are two expressions said to be equivalent?

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them. Example 1: Are the two expressions 2 y + 5 y − 5 + 8 and 7 y + 3 equivalent?

How to check if two expressions are the same?

Check whether the two expressions and equivalent. The first expression is the sum of ‘s and ‘s whereas the second one is the sum of ‘s and ‘s. Let us evaluate the expressions for some values of and . Take and . So, there is at least one pair of values of the variables for which the two expressions are not the same.

How to get the equivalent expression in Excel?

1 Enter an algebraic expression in the input field 2 Now click the button “Submit” to get the equivalent expression 3 Finally, the equivalent expression for the given algebraic expression will be displayed in a new window.

Can a rewritten expression have the same value?

The expression can be rewritten as . We can re-group the right side of the equation to or or some other combination. All these expressions have the same value, whenever the same value is substituted for . That is, they are equivalent expressions.