The graph of the equations 25 x + 75 y = 225 and x = 9 ` meet at the point

Options

A. (0,9)
B. (9,0)
C. (3,0)
D. (0,3)

Answer

To find the point where the graphs of the equations \( 25x + 75y = 225 \) and \( x = 9 \) meet, we can follow these steps:

### Step 1: Substitute \( x = 9 \) into the equation \( 25x + 75y = 225 \).

Given:
\[ 25x + 75y = 225 \]
Substituting \( x = 9 \):
\[ 25(9) + 75y = 225 \]

### Step 2: Calculate \( 25(9) \).

Calculating:
\[ 25 \times 9 = 225 \]
So, we have:
\[ 225 + 75y = 225 \]

### Step 3: Simplify the equation.

Subtract \( 225 \) from both sides:
\[ 75y = 225 - 225 \]
\[ 75y = 0 \]

### Step 4: Solve for \( y \).

Dividing both sides by \( 75 \):
\[ y = \frac{0}{75} = 0 \]

### Step 5: Write the point of intersection.

The point of intersection is:
\[ (9, 0) \]

Thus, the graphs of the equations \( 25x + 75y = 225 \) and \( x = 9 \) meet at the point \( (9, 0) \).

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