Find the equation of the line through the intersection of the lines `2x+\ 3y \ 4\ =\ 0` and `x - 5y=\ 7`that has its x-intercept equal to `\ 4`.
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AI Generated Solution
To find the equation of the line through the intersection of the lines \(2x + 3y - 4 = 0\) and \(x - 5y = 7\) that has its x-intercept equal to \(4\), we can follow these steps:
### Step 1: Write the equations of the given lines
The equations of the two lines are:
1. \(L_1: 2x + 3y - 4 = 0\)
2. \(L_2: x - 5y - 7 = 0\)
### Step 2: Form the equation of the line through the intersection
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