What is the x - intercept of the linear equations ` 18 x + 25 y - 90 = 0` ?

Options

A. 18
B. 25
C. 50
D. 450

Answer

To find the x-intercept of the linear equation \( 18x + 25y - 90 = 0 \), we follow these steps:

### Step 1: Set \( y \) to 0
To find the x-intercept, we need to substitute \( y = 0 \) into the equation. This is because the x-intercept occurs where the line crosses the x-axis, and at that point, the value of \( y \) is always 0.

### Step 2: Substitute \( y = 0 \) into the equation
Substituting \( y = 0 \) into the equation gives us:
\[ 18x + 25(0) - 90 = 0 \]
This simplifies to:
\[ 18x - 90 = 0 \]

### Step 3: Solve for \( x \)
Now, we can solve for \( x \) by isolating it on one side of the equation:
\[ 18x = 90 \]
Dividing both sides by 18:
\[ x = \frac{90}{18} \]
Calculating the right side gives:
\[ x = 5 \]

### Step 4: Write the x-intercept
The x-intercept is the point where the line crosses the x-axis, which we can express as the coordinate:
\[ (5, 0) \]

### Conclusion
Thus, the x-intercept of the linear equation \( 18x + 25y - 90 = 0 \) is \( (5, 0) \).

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