Question

Which value of the variable is the solution of the equation?a + $5.92 = $12.29a = $5.37, $5.47, $6.37, $6.27Enter your answer in the box.$

Answer 1

Step-by-step explanation:

To find which of these options is the solution to the equation we can try replacing the values into the equation and see which one makes it true:

• a = 5.37

`\begin{gathered} 5.37+5.92=12.29 \\ 11.29=12.29\rightarrow\text{ false} \end{gathered}`

• a = 5.47

`\begin{gathered} 5.47+5.92=12.29 \\ 11.39=12.29\rightarrow\text{ false} \end{gathered}`

• a = 6.27

`\begin{gathered} 6.27+5.92=12.29 \\ 12.19=12.29\rightarrow\text{ false} \end{gathered}`

• a = 6.37:

`\begin{gathered} 6.37+5.92=12.29 \\ 12.29=12.29\rightarrow\text{ true} \end{gathered}`

Answer:

a = $6.37