If `b(x+2y)=60 and by=15`, what is the value of bx?

Options

A. `15`
B. `20`
C. `25`
D. `30`

Answer

To solve the problem, we have two equations:

1. \( b(x + 2y) = 60 \)
2. \( by = 15 \)

We need to find the value of \( bx \).

### Step-by-Step Solution:

**Step 1: Rewrite the first equation.**
We start with the first equation:
\[ b(x + 2y) = 60 \]

**Step 2: Expand the first equation.**
Distributing \( b \) in the equation gives us:
\[ bx + 2by = 60 \]

**Step 3: Substitute the value of \( by \).**
From the second equation, we know that \( by = 15 \). We can substitute this value into the expanded equation:
\[ bx + 2(15) = 60 \]

**Step 4: Simplify the equation.**
Now, simplify the equation:
\[ bx + 30 = 60 \]

**Step 5: Isolate \( bx \).**
To isolate \( bx \), subtract 30 from both sides:
\[ bx = 60 - 30 \]
\[ bx = 30 \]

Thus, the value of \( bx \) is \( 30 \).

### Final Answer:
The value of \( bx \) is \( 30 \).

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