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 fin the solutio n to the equation.
sehyrs 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
The solution to the equation is __
The error in Sehyr's work is when she added 7 to both sides of the equation. It should have been subtracted instead. To correct her mistake, the correct step would be:
w/2 - 7 + 7 = 11 + 7 (using the addition property of equality)
w/2 = 18
Then, to solve for w, we can multiply both sides by 2:
2 * (w/2) = 18 * 2 (using the multiplication property of equality)
w = 36
Therefore, the correct solution to the equation is w = 36.
To find Sehyr's error, let's go through her work step by step:
1. Starting with the equation w/2 - 7 = 11.
2. Sehyr added 11 to both sides of the equation, which is correct. This gives us w/2 - 7 + 11.
3. However, she made a mistake in the next step. She added 7 to both sides of the equation, which is incorrect. The correct step would be to subtract 7 from both sides, not add.
So, we should have w/2 - 7 + 11 - 7.
4. Simplifying the equation further, we have w/2 + 4 = 11.
5. To solve for w, we need to isolate w on one side of the equation. Since we have w/2, we can multiply both sides of the equation by 2 to cancel out the division.
Multiplying both sides by 2, we get 2(w/2 + 4) = 2(11).
6. Simplifying further, we have w + 8 = 22.
7. Now, we need to isolate w. Subtracting 8 from both sides, we get w + 8 - 8 = 22 - 8.
Simplifying, we have w = 14.
Therefore, the correct solution to the equation is w = 14.
To find Sehyr's error and correct it, let's analyze her work step by step.
Sehyr's 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 made an error when she added 7 to both sides of the equation. Let's correct her work:
w/2 - 7 + 11
w/2 + 4 = 11 + 7 (correcting the addition)
w/2 = 18
To isolate w, we multiply both sides of the equation by 2:
2 * (w/2) = 18 * 2
w = 36
Therefore, the correct solution to the equation is w = 36.
The solution to the equation is __
fill in the blank
The correct solution to the equation is w = 36.
How many of the following equations have the solution {5}?
2(x-3) + 1 =5
3b/15=1
2h-30=40
The number of equations that have the solution set {5}___
Let's solve each equation to determine if the solution set is {5}.
1. 2(x-3) + 1 = 5
Expanding and simplifying:
2x - 6 + 1 = 5
2x - 5 = 5
Adding 5 to both sides:
2x = 10
Dividing by 2:
x = 5
The solution to this equation is x = 5.
2. 3b/15 = 1
Multiplying both sides by 15:
3b = 15
Dividing by 3:
b = 5
The solution to this equation is b = 5.
3. 2h - 30 = 40
Adding 30 to both sides:
2h = 70
Dividing by 2:
h = 35
The solution to this equation is h = 35.
Out of the three equations, only the first one (2(x-3) + 1 = 5) has the solution set {5}. Therefore, the number of equations that have the solution set {5} is 1.