Answer :
Sure! Let's go through the solution of the equation step by step.
We have the equation:
[tex]\[ 7 + x = 23 \][/tex]
Student #1's Method:
1. To solve for [tex]\( x \)[/tex], Student #1 subtracts 7 from both sides of the equation. This helps isolate [tex]\( x \)[/tex] on one side.
2. Subtracting 7 from both sides, the equation becomes:
[tex]\[ 7 + x - 7 = 23 - 7 \][/tex]
3. Simplifying both sides, we get:
[tex]\[ x = 16 \][/tex]
Student #2's Method:
1. Student #2 rewrote the equation with [tex]\( x \)[/tex] on the left side by assuming the same initial equation:
[tex]\[ x + 7 = 23 \][/tex]
2. Just like Student #1, Student #2 subtracts 7 from both sides to solve for [tex]\( x \)[/tex]:
[tex]\[ x + 7 - 7 = 23 - 7 \][/tex]
3. This simplifies to:
[tex]\[ x = 16 \][/tex]
Both students arrived at the same correct solution, [tex]\( x = 16 \)[/tex], by using a proper method of subtracting 7 from both sides of the equation. The method they used is valid and ensures they both reach the correct answer.
We have the equation:
[tex]\[ 7 + x = 23 \][/tex]
Student #1's Method:
1. To solve for [tex]\( x \)[/tex], Student #1 subtracts 7 from both sides of the equation. This helps isolate [tex]\( x \)[/tex] on one side.
2. Subtracting 7 from both sides, the equation becomes:
[tex]\[ 7 + x - 7 = 23 - 7 \][/tex]
3. Simplifying both sides, we get:
[tex]\[ x = 16 \][/tex]
Student #2's Method:
1. Student #2 rewrote the equation with [tex]\( x \)[/tex] on the left side by assuming the same initial equation:
[tex]\[ x + 7 = 23 \][/tex]
2. Just like Student #1, Student #2 subtracts 7 from both sides to solve for [tex]\( x \)[/tex]:
[tex]\[ x + 7 - 7 = 23 - 7 \][/tex]
3. This simplifies to:
[tex]\[ x = 16 \][/tex]
Both students arrived at the same correct solution, [tex]\( x = 16 \)[/tex], by using a proper method of subtracting 7 from both sides of the equation. The method they used is valid and ensures they both reach the correct answer.
