Question

select the equations below that are equavilent to 10 = b + c

18 = b + c + 8
15 = b + c + 4
20 = 9 + b + c
19 = 7 + b + c

Answer 1

To determine which of the given equations are equivalent to \(10 = b + c\), we need to manipulate each equation to see if they can be simplified to the same form.

1. **For** \(18 = b + c + 8\):

Subtract 8 from both sides:
\[
18 - 8 = b + c \\
10 = b + c \quad (\text{This one is equivalent})
\]

2. **For** \(15 = b + c + 4\):

Subtract 4 from both sides:
\[
15 - 4 = b + c \\
11 = b + c \quad (\text{This one is NOT equivalent})
\]

3. **For** \(20 = 9 + b + c\):

Subtract 9 from both sides:
\[
20 - 9 = b + c \\
11 = b + c \quad (\text{This one is NOT equivalent})
\]

4. **For** \(19 = 7 + b + c\):

Subtract 7 from both sides:
\[
19 - 7 = b + c \\
12 = b + c \quad (\text{This one is NOT equivalent})
\]

### Summary:
The only equation that is equivalent to \(10 = b + c\) is:

- \(18 = b + c + 8\)