Answer:
[tex]x = \frac{1}{4}[/tex]
[tex]y= 1[/tex]
Step-by-step explanation:
Given
[tex]y - 2xy + 4x = 1[/tex]
Solving (a) The x intercept
Let y = 0
[tex]y - 2xy + 4x = 1[/tex]
[tex]0 - 2x*0 + 4x = 1[/tex]
[tex]0 - 0 + 4 x = 1[/tex]
[tex]4x = 1[/tex]
Divide both sides by 4
[tex]x = \frac{1}{4}[/tex]
Let x = 0
[tex]y - 2xy + 4x = 1[/tex]
[tex]y - 2y * 0 + 4*0 = 1[/tex]
[tex]y - 0 + 0 = 1\\[/tex]
[tex]y= 1[/tex]