Sehyr solved the equation w/2 - 7 =11. She seems to have made an error in her work because the solution she found does not work. Observe Sehyrs work to find her error and correct it to find the solution to the equation/
Sehyrs work:
w/2 -7=11
w/2 -7_7=11+7 using thye addition property of equality
w/2/2=18/2 using the division property of equality
w=9
The solution to the equation is___
To find Sehyr's error and correct it, let's go through her work step by step:
1. Sehyr starts with the equation: w/2 - 7 = 11
2. In the next step, she adds 7 to both sides of the equation. This is a mistake. We should be subtracting 7 from both sides instead. The correct step should be: w/2 - 7 + 7 = 11 + 7
3. Simplifying the left side: w/2 = 18
4. In the next step, Sehyr divides both sides of the equation by 2. However, she mistakenly divides only the left side by 2. We should be dividing both sides by 2. The correct step should be: (w/2) / 2 = 18 / 2
5. Simplifying the left side: w/4 = 9
6. Finally, to solve for w, we multiply both sides of the equation by 4. The correct step should be: (w/4) * 4 = 9 * 4
7. Simplifying both sides: w = 36
Therefore, the correct solution to the equation is w = 36.
To find Sehyr's error and the correct solution to the equation, let's go through her work step-by-step:
Step 1: Original equation
w/2 - 7 = 11
Step 2: Adding 7 to both sides
w/2 - 7 + 7 = 11 + 7
w/2 = 18
At this point, Sehyr made an error. Instead of adding 7 to both sides of the equation, she mistakenly added 7 only to the left side.
To correct this, let's perform the correct step 2:
Corrected Step 2: Adding 7 to both sides
w/2 + 7 = 11 + 7
w/2 = 18
Step 3: Multiplying both sides by 2 to isolate w
(w/2) * 2 = 18 * 2
w = 36
Therefore, the correct solution to the equation is w = 36.
it marked it as incorrect
I apologize for the mistake.
Let's go through Sehyr's work again and find the error:
Step 1: Original equation
w/2 - 7 = 11
Step 2: Adding 7 to both sides
w/2 - 7 + 7 = 11 + 7
w/2 = 18
This is where Sehyr made an error. Instead of adding 7 to both sides, she subtracted 7.
To correct this, let's perform the correct step 2:
Corrected Step 2: Adding 7 to both sides
w/2 + 7 = 11 + 7
w/2 = 18
Step 3: Multiplying both sides by 2 to isolate w
(w/2) * 2 = 18 * 2
w = 36
The correct solution to the equation is w = 36.
To find Sehyr's error and correct it, let's observe her work:
w/2 - 7 = 11
w/2 - 7_7 = 11 + 7 (using the addition property of equality)
w/2/2 = 18/2 (using the division property of equality)
w = 9
Sehyr's error is in the second step when she adds 7 to both sides of the equation. The correct step should be subtracting 7 from both sides to isolate the variable:
w/2 - 7 + 7 = 11 + 7
w/2 = 18
Now, to solve for w, we need to multiply both sides of the equation by 2 to get rid of the fraction:
2 * (w/2) = 18 * 2
w = 36
The correct solution to the equation is w = 36.