Question

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

Answer 1

`\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.}`