12(6x+7)+9+x=72x+47
First we will "Distribute the
12
12 first."
12
⋅
6
�
+
12
⋅
7
+
9
+
�
=
72
�
+
47
12⋅6x+12⋅7+9+x=72x+47
Next we will simplify.
72
�
+
84
+
9
+
�
=
72
�
+
47
72x+84+9+x=72x+47
Now we will combine like terms.
72
�
+
93
=
72
�
+
47
72x+93=72x+47
Subtract
72
�
72x on both sides.
93
=
47
93=47
So this means there are zero solutions.
Is this student correct and why
No, the student is not correct. They made a mistake when simplifying and combining like terms.
Starting from the step:
72x + 93 = 72x + 47
To solve for x, we can subtract 72x from both sides:
93 = 47
This is an incorrect statement, and therefore, there are no valid solutions to the equation. The final answer should be that there are no solutions, rather than zero solutions.