Question

CD minus D plus 2E +10 C equals 5D equals 3E equals nine

Answer 1

It looks like you have a set of equations related to the variables \( C \), \( D \), and \( E \). However, the equation as you wrote it appears to be a bit unclear. Let's try to interpret it step by step.

If we break it down based on the given information:

1. The expression \( CD - D + 2E + 10C = 5D \) seems to be one equation. We can rearrange it to:
\[
CD + 10C + 2E - D - 5D = 0
\]
which simplifies to:
\[
CD + 10C + 2E - 6D = 0
\]

2. The expressions \( 5D = 3E = 9 \) imply two separate equations:
\[
5D = 9 \quad \text{and} \quad 3E = 9
\]

From \( 5D = 9 \), we can solve for \( D \):
\[
D = \frac{9}{5} = 1.8
\]

From \( 3E = 9 \), we can solve for \( E \):
\[
E = \frac{9}{3} = 3
\]

Now we have \( D = 1.8 \) and \( E = 3 \).

To find \( C \), we would substitute \( D \) and \( E \) back into the rearranged equation:
\[
C(1.8) + 10C + 2(3) - 6(1.8) = 0
\]

Simplifying gives:
\[
1.8C + 10C + 6 - 10.8 = 0
\]
\[
11.8C - 4.8 = 0
\]

Solving for \( C \):
\[
11.8C = 4.8 \implies C = \frac{4.8}{11.8} \approx 0.4068 \quad (\text{approximately})
\]

So we have:
- \( C \approx 0.4068 \)
- \( D = 1.8 \)
- \( E = 3 \)

If the equation or interpretation differs from your intention, please clarify, and I can adjust the response!