Question

select the equations equal to -6g = 7

-6g x -11 = -77

98g = -14 x 7

-8 x -6g = -56

-77g = 11 x 7

Answer 1

To determine which of the equations are equivalent to \(-6g = 7\), we can manipulate each of them to see if we can derive this equation from them.

1. **For the first equation:**
\[
-6g \times -11 = -77
\]
Dividing both sides by \(-11\),
\[
-6g = \frac{-77}{-11} = 7
\]
So this equation is equivalent to \(-6g = 7\).

2. **For the second equation:**
\[
98g = -14 \times 7
\]
First, calculate \(-14 \times 7 = -98\), so we have:
\[
98g = -98
\]
Dividing both sides by \(98\),
\[
g = -1
\]
This does not give us \(-6g = 7\).

3. **For the third equation:**
\[
-8 \times -6g = -56
\]
Simplifying,
\[
48g = -56
\]
Dividing both sides by \(48\),
\[
g = \frac{-56}{48} = -\frac{7}{6}
\]
This does not give us \(-6g = 7\).

4. **For the fourth equation:**
\[
-77g = 11 \times 7
\]
First, calculate \(11 \times 7 = 77\), so we have:
\[
-77g = 77
\]
Dividing both sides by \(-77\),
\[
g = -1
\]
This does not give us \(-6g = 7\).

**Summary of results:**
- The first equation \(-6g \times -11 = -77\) is equivalent to \(-6g = 7\).
- The other three equations are not equivalent to \(-6g = 7\).

Thus, the correct answer is:
**-6g x -11 = -77**.