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.
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___
3 answers
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.
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.
1 answer