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Choose yes or no to tell whether the equation has the given solution 1/4×+3=3=4×+ 1,x=8

User Lorefnon
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1 Answer

6 votes

Answer:


\large\boxed{\tt No.}

Explanation:


\textsf{We are asked to determine if the equation has a solution given a value.}


\textsf{Since x is given to us, we can use the \underline{Substitution Property of Equality} to evaluate}


\textsf{the equation.}


\large\underline{\textsf{What is the Substitution Property of Equality?}}


\textsf{The Substitution Property of Equality is a Property that allows us to substitute}


\textsf{a known term, or expression for an unknown variable, or some kind of placeholder.}


\textsf{After Substitution, we can prove that the expressions are still equal with this}


\textsf{property.}


\large\underline{\textsf{Solving;}}


\tt (1)/(4) x + 3 =


\textsf{There's likely a typo in your equation given, hence I will fix it.}


\tt (1)/(4) x + 3 = 4x+1


\textsf{Substitute 8 for x in both sides of the equation using our property.}


\underline{\textsf{Use the Substitution Property of Equality;}}


\tt (1)/(4) (8) + 3 = 4(8)+1


\underline{\textsf{Follow PEMDAS, multiply first;}}


\tt 2 + 3 = 32+1


\underline{\textsf{Evaluate;}}


\tt 5 \\eq 33


\textsf{If the


\tt 5 \\eq 3 \\eq 33


\large\boxed{\tt No.}

User Llex
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