Question

Ryan is trying to determine whether 2.7x – 5.9 is equivalent to 2.8x – 5.9. To test this, he substitutes 0 for x into both expressions. Explain why this will not give him the correct answer.

Answer 1

Answer:

It will not give him the correct answer, because anything multiplied by 0 will become 0.

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Answer 2

0 multiplied with anything gives the answer as 0 only, so this is not a proper test for Ryan to prove that the expressions are equivalent.

• A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.
• The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfil the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

Here, according to the given information,

The two expressions are,

$(2.7x - 5.9)$ and $(2.8x - 5.9)$.

Now, Ryan decided to put 0 instead of x in both the expressions.

Since, 0 multiplied with anything gives the answer as 0 only, the expressions will both give the value of -5.9. Now, this will not be a proper answer or test to make the expressions equal as any expression in the form of these given expressions will be equivalent because of the above reason.

Hence, 0 multiplied with anything gives the answer as 0 only, so this is not a proper test for Ryan to prove that the expressions are equivalent.

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